It was finally the weekend! After my long mathematics presentation, I came home to watch my favorite tv show, Person of Interest, to de-stress. Surprisingly, the episode was about the most famous mathematical constant, pi (π) which is equal to the ratio of a circle’s circumference to its diameter, commonly approximated as 3.14159. Mr. Finch (the main character) was acting as a substitute teacher and wrote on the chalkboard 3.1415926535. Then he asked the students, “What does this mean?” I answered the question in my mind, thinking, “If I have a bicycle tire with a diameter of 1, then one full revolution of the bicycle tire would travel the distance pi.” However, in the show, nobody answered. Then Mr. Finch answered the question himself, saying:

Person of Interest, Season 2 Episode 11 “2 Pi R”

“Pi, the ratio of the circumference of a circle to its diameter — 3.1415926535 — is just the beginning. It keeps going forever without ever repeating, which means that contained within this string of decimals is every other number; your birth date, the combination to your locker, your social security number, etc. It’s all in there somewhere. And if you convert these decimals into letters you would have every word that ever existed in every possible combination; the first syllable you spoke as a baby, the name of your latest crush, your entire life story from beginning to end, and everything we ever say or do. All of the world’s infinite possibilities rest within this one simple circle. Now what will you do with that information; what it’s good for? Well, that would be up to you…”

Although that scene was actually inaccurate, I loved it. This scene is beautiful because most teachers in the world struggle to be as good and as interesting of a teacher as Mr. Finch is here. His knowledge about the subject expands the discussion beyond the textbooks and keeps the students focused throughout the lecture.

Wikipedia, gif, “Pi Unrolled”

We have all been taught that pi is the ratio of a circle’s circumference to its diameter.

Unfortunately, this is wrong because mathematicians have not proved that pi has the characteristic of “normality” yet. In other words, mathematicians are not sure if pi contains all the finitely long permutations of digits from 0 to 9. They are not sure if every digit continues to be used after a certain amount of time or an unlimited number of times in pi’s decimal representation. Nobody knows what we will find in the digits of pi if we keep going. For instance, when we check the first billion digits of pi, we see that the digit 7 occurs almost 100 million times. This makes pi a nice random number generator. However, after some points, pi may not contain the digit 7 and might instead have a non-repeating number with just two or three digits such as 010203112233000111222333…

For instance, after the first 761 digits of pi, there is a famous mathematical coincidence where six nines occur in a row which is called the Feynman point.

Twitter, Feynman’s Library, “Feynman Point in Pi”

But we are sure that the digits of pi keep going on forever and in a random order. This makes pi interesting because the value of pi is finite; however, its decimal value is infinitely long. This is not a contradiction. Pi is a constant number because it is the ratio of the circumference of a circle and its diameter, which are finite values. Still, we need an approximate value for pi.

In 1768, Johann Lambert proved that the value of pi is an irrational number and it cannot be written as a rational simple fraction. 22/7 is a commonly used approximation but does not contain all of the digits of pi. This is because irrational numbers cannot be written as a ratio of two numbers, such as , because they continue on to infinity and do not follow a pattern. In 1882, Ferdinand Lindemann proved that pi is a transcendental number because it is not algebraic; it is not a non-constant polynomial equation with rational coefficients (“Transcendental number”, Wikipedia).

We can safely say that pi is transcendental because the mathematician Yasumasa Kanada found that the first trillion digits of pi appear to be statistically random. If you check the table below, you see that the event of each digit occurring is independent, and the probability of it is one-tenth of the time (“Kanada Laboratory,” Super Computing)

After many years, Emma Haruko Iwao found 34.1 trillion digits of pi in 2019. It took 121 days for Haruko and his computer, because calculating pi requires a lot of power, even for a computer. You can picture it in your mind like this; if you were to print a billion decimal values of Pi in normal sized, ordinary font, it would stretch from New York to Kansas.

However, 34.1 trillion digits is still not enough to prove whether pi is normal or not (“Pi in the Sky, Google Cloud Blog). Supercomputers are still crunching the numbers. If you check the graph below, you will see the number of known digits of pi, by year, since 250 B.C.

FiveThirtyEight, Graph, “Even After 31 Trillion Digits, We’re Still No Closer To The End Of Pi”

Going back to Mr. Finch, we see that he is not 100% wrong. We can find our birthdays in pi easily. If you go to mypiday.com and type your birthday, it will give you the decimal place in pi. For example, my birthday occurs at the 675,097th decimal place.

If pi is a normal number, then we can say that our whole destiny is encoded in pi. The pictures we are going to take in the future, will be in pi because there are binary numbers behind images. All digital products are in pi. Even this article has been in pi for thousands of years. Furthermore, the DNA of every creature is in pi. Mr. Finch was actually right.

There is an interesting and artistic way to show the randomness of pi. Some scientists might be happy with their tedious scatter plots, but there are some artists who use colors for data visualization to communicate with the public. Martin Krzywinski is one such artist, who found beauty and artistry in the randomness of Pi. He took the digits of pi and gave each digit a different color. For instance, he gave 3 the color orange, 1 as red, 4 as yellow, and so on. Then he made a beautiful poster. And if you look at it carefully, you do not see any particular pattern to the colors.

Science Art by Martin Krzywinski

Should we stop working on pi? Or should we continue looking for a better approximation? Is assuming pi as equal to 3.14 good enough? Or is it enough to use 40 digits of pi to find the circumference of the Milky Way galaxy to an error less than the size of a proton (JPL NASA)? Are the first 152 digits enough to find the circumference of the observable universe at 93 billion light-years (WIRED)? There are hundreds of mathematicians who have been trying to figure out more digits of pi for years. It is like trying to get to the moon and then to the next planet, and so on…

But why? Why do mathematicians bother calculating any more digits? Why aren’t 34.1 trillion digits of pi enough? Is it because pi lurks in every circle?

The logical reason seems cryptic: is it because pi is a beautiful source to generate random numbers? Or is it that countries can show off their technology to other countries, because calculating trillions of digits of pi requires a very powerful computer? For instance, in the Star Trek episode “Wolf in the Fold,” Spock foils the evil computer by commanding it to “compute to last digit of the value of pi.” So asking a computer to compute pi is called “a stress test” and may make it crash.

On the other hand, we humans are just weird. Staying at home and drinking tea is a beautiful activity, but when we get bored, we try to climb the highest of mountains, befriend a tiger, or try to memorize the digits of pi, like Chao Lu, who correctly memorized the first 67,890 digits of pi. We will keep doing these things because we like to understand the world around us.

We are inevitably connected to the past, and pi is a thread that’s gone through all of human history. That’s why we can say that as long as there are people, there’s always going to be somebody who wonders what’s next. And I assure you that somewhere in the world there is a mathematician or scientist using pi for something important, because pi is still the mysterious constant of nature.

Finding Pi

The previous statement is utterly true: there has always been someone who works on pi. Math is as old as civilization. Pi has been studied by the human race for almost 4000 years. When the last mammoths were going extinct, people were studying Pi. As far as we know, Archimedes was one of the first humans who calculated pi. He was most likely helping wheel makers. But how did he estimate the value of pi?

Firstly, he saw that all polygons are a circle. According to Archimedes, if you keep increasing the number of the sides of a polygon, you get closer to the perfect circle. In other words, a pentagon is more circle than a square, but a hexagon is more circle than a pentagon, and so on… Thus, more than two thousand years ago, he defined a circle as a regular polygon with an extremely large number of sides.

His definition is useful because measuring a curved surface was hard to do accurately. He found a way to find the circumference of a circle. First, he drew a square with its corners touching the perimeter of a circle and found the perimeter of the inscribed square. Secondly, he drew another square with its sides also touching the perimeter of the circle and found the perimeter of the circumscribed square. He came to the conclusion that the circumference of the circle had to lie somewhere between the value of those two perimeters of squares.

Using this method, however, the difference between those two values was pretty big. So, he drew pentagons to see the upper and lower bounds of the circumference of the circle. This gave him a smaller range of bounds. He kept increasing the number of faces of the polygon that he was drawing inside and outside the circle. Each time he did this, his estimation was getting more accurate. Archimedes got up to a 96 sided regular polygon [called an enneacontahexagon] until he grew exhausted. The lower and upper bound that he found were 3.1408 and 3.1429. Thus, he calculated π to two decimal places.

Archimedes’ method needed improvement because his life span was not going to be long enough to find the other digits of pi by hand. Mathematicians needed to discover more efficient formulas and new techniques.

Before they could do this, they needed to discover algebra. Its discovery by the great mathematicians inspired a whole new way of looking at the world.

The next great jump in calculating pi was the invention of calculus. After that, mathematicians started working on infinite series. An infinite series is an expression with numbers added together until infinity; sometimes these infinite series converge to a particular value.

There are many methods available now to calculate pi. Gottfried Leibniz found pi in infinity. James Gregory was working on one of the astonishing infinite series for the inverse tangent function below. He added infinitely many small numbers together and found pi.

He put x = 1 into the inverse-tangent series. He showed us the further we go, the closer to the estimation of pi we get. However, in order to get 10 digits of pi, we need to write about 5 billion fractions.

After that, another great mathematician, Leonhard Euler – who officially adopted the Greek letter “π” as a symbol to represent the value – found a more efficient equation for pi, when he was only 28. The symbol became iconic. Euler’s Pi equation calculates an infinite sum. The Basel Problem was named after him.

Euler also used pi to write another beautiful equation, Euler’s Identity.

Thanks to the Indian mathematician Ramanujan’s obsession with pi, we have many new formulas to find pi. When he arrived at Cambridge from India, he brought with him a notebook in which there were 400 pages of formulas to find pi.

After the invention of mechanical computers, mathematicians used Leibniz’s, Euler’s, and Ramanujan’s infinite series to calculate a trillion decimal digits of pi (Stanford Cryptography Group). Without a supercomputer, finding this many digits of pi would be difficult. For example, the mathematician William Shanks managed to calculate the first 707 digits of pi by hand but unfortunately, he had made a mistake after the 527th place.

Pi is everywhere

Children start learning about pi when they are in 7th grade and use it until they graduate from college. Even after that, most people use pi again when their children go to school. Pi appears everywhere in the universe. It is literally woven into our universe: the orbits of planets, electromagnetic waves, rivers, the colors of auroras, the structure of DNA, the Great Pyramid of Giza… If a scientist wants to describe the structure of the universe or find the relationship between planets, he/she definitely needs to use pi: anything involving a circle or a sphere is about pi. Circles appear throughout the natural world, whether they’re a soap bubble or the moon in the night sky.

 A Gif showing the clever play on the letters “pi”

Sinuosity of rivers

Pi has a direct relationship with rivers. But how? To figure this out, we need to measure the length of a river in two different ways. Assume that we know the starting and ending point of the river. First, we need the actual length to see how bendy the river is. In other words, the distance that you need to swim from the beginning point to the ending point. This whole length will be “L”. Second, we need to find a straight length. In other words, this time we need to fly from the beginning to the end. And this direct route will be a lowercase “l”. Now we can write the formula for the sinuosity by dividing L by l. The sinuosity is a ratio and measures how bendy the river is.

What is important here is there’s no limit to how high sinuosity can be. Rivers can be really bendy. However, Hans-Henrik Stølum proved that theaverage sinuosity of rivers around the world is pi. If you find the sinuosity of all the rivers and take the average sinuosity of them, you should get pi (Meandering River).

There is another interesting fact about sinuosity. Rivers can be very bendy at some points. But suddenly, those rivers become straight and make the sinuosity around pi. So, it is hard to find the sinuosity of a river equal to 7 because of fluid dynamics. Mathematicians found the highest sinuosity to be around 3.5 and the lowest sinuosity around 2.7.

At the extremely bendy point, rivers cut off after the bend point and make a shortcut to become straight again. This phenomenon is known as an oxbow lake, which controls the sinuosity of rivers. This keeps the sinuosity of a river around Pi.

Pi in Space

There is a mathematical order inherent in our universe. For instance, to understand our solar system, we need pi. We know that our planet moves in front of its host star. And the light comes from host stars. To talk about that light, we need to know how big the host star is. In other words, we need the surface area of the host star. The formula for the surface area of a sphere is 4πr², with r being the star’s radius. The size of a planet also helps scientists to guess whether it is habitable or not.

Another good example to show the relationship between pi and the universe is electrostatic force, which is the force between two electric charges. An electron exerts a force in all directions and forms a sphere field. Electrons also interact with each other on an electric field. To figure out that interaction, we need to find the surface area of spheres, where again pi comes up.

There is also a connection between pi and gravity. If you have had a chance to see Einstein’s field equations, you might notice that pi is there also:

The formula above calculates how objects with a large mass, such as stars and galaxies, can curve space and time with their gravity. Einstein said that, just like a ball sitting on a bedsheet, any form of momentum and energy can also curve space-time around it. In words, the formula is saying:

Gravity = 8 x π x Energy & Momentum

Lastly, if you take the square root of Earth’s gravity, you almost get pi.

Pi Day

After so many years studying pi, people decided to organize an official celebration of pi on March 14th. Since 1988, people have celebrated this magical constant. Coincidentally, Albert Einstein was born on pi day – March 14, 1879. Einstein also published his theory of general relativity on pi day.

The Google logos for Pi Day.

Zeno of Elea was a pre-Socratic Greek philosopher of southern Italy and a member of the Eleatic School founded by Parmenides. He argued that an object in motion can never pass from one position to another, because between the two there is always an “infinity” of other positions, however close, that must be successively traversed in the course of the motion, and this “infinity” can never be exhausted. David Hilbert is a German mathematician who postulated a hypothetical hotel with “countably infinitely” many rooms, all of which are occupied. Since the hotel has “infinitely” many rooms, we can move the guest occupying room 1 to room 2, the guest occupying room 2 to room 3, and so on, and fit a newcomer into room 1. By repeating this procedure, it may be argued that it is possible to make room for any finite number of new guests, although every room of this hotel initially contains a guest.

The following two quotations from two contemporary authors may provide more substance about the nature of the problem:

On the other hand, involvement with the infinite brings with it a huge range of difficulties. In particular, there are the many puzzles and paradoxes that have been outlined in the pages of this book. Moreover, there are the many quite fundamental problems that arise for such apparently simple notions as counting, adding, maximizing, and so forth. Because we are so firmly wedded to limit notions-“best,” “first,” “greatest,” “maximum,” and so forth-that do not sit easily with the infinite, it is very hard to see how we can make our peace with the infinite.

The infinite has always been a slippery concept. Even the commonly accepted mathematical view, developed by Georg Cantor, may not have truly placed infinity on a rigorous foundation.

In the present article, we attempt to summarize Rene Guenon’s (1886-1951) alternative way of thinking on the idea of infinite from the perspective of the traditional metaphysical science. Much more detailed presentation of his perspective can be found in his (1886-1951) valuable study The Metaphysical Principles of the Infinitesimal Calculus from which we will extensively quote here.

Guenon considered mathematics as providing a particularly proper symbolism for the expression of metaphysical truths to the extent that they are expressible. However, he states that “in order for this to be so it is above all necessary that these sciences be rid of the various errors and confusions that have been introduced by the false views of the moderns.” To follow Guenon’s paradigm it is necessary to start with the metaphysical notion of the universal-All which comprehends all possibilities, the non-manifested as well as the manifested Universe, that is, the cosmos. The universal All leaves outside itself only the impossible that is a pure nothing. A determination is to define a certain domain of possibilities in relation to all the rest which is expressed by Spinoza (1632-1677) as omnis determinatio negatio est (all determination is a negation). The first of all determinations is Being itself. “Number is only a mode of quantity, and quantity itself only a category or special mode of being, not coextensive with it, or more precisely still, quantity is only a condition proper to one certain state of existence in the totality of universal existence.” Number, space, and time are all determined conditions.

The Infinite, understood in its true, metaphysical sense, has no limits since its opposite, finite is synonymous with limited. Therefore, according to Guenon,

… one cannot correctly apply this term to anything other than that which has absolutely no limits, that is to say the universal All. Furthermore, there can obviously be only one Infinite, for two supposedly distinct infinities would limit and therefore inevitably exclude one another.

He further states, “The Infinite, in its true sense, can have neither opposite nor complementarity.” The scholastic distinction between “the infinite in a certain respect” and “the absolute infinite” cannot be accepted. If a thing is not limited in a certain sense or in a certain respect than one can legitimately conclude that it is limited in no way at all, and since a determined thing does not include every possibility, as such it can only be finite.

Given any number, one can form the next by adding a unit gives the sequence of numbers to us. Therefore, we cannot actually reach its limits. However, the impossibility of reaching the limits of certain things in the manifested Universe should not cause the illusion that these determined things have no limits at all. In order to replace the false notion of “determined infinite,” Guenon introduces, the idea of the indefinite, which is precisely the idea of a development of possibilities the limits of which we cannot actually reach; and this is why we (Guenon) regard this distinction between the Infinite and the indefinite as fundamental to all questions in which the so-called mathematical infinite appears.

According to Descartes (1596-1650), the indefinite is that of which we do not perceive the limits, and which in reality could be infinite. On the contrary, Guenon affirms that

(T)he indefinite cannot be infinite because it always implies a certain determination, whether it is a question of extension, duration, divisibility, or some other possibility; in a word, whatever the indefinite may be, and according to whatever aspect it is considered, it is still of the finite and can only be of the finite.

The idea of an “infinite number” understood as “the greatest of all numbers,” or “the number of all numbers” is contradictory. The impossibility of an “infinite number” can be established by various arguments:

(T)o every whole number (integer) there corresponds another number equal to its double, such that one can make the two sequences correspond term by term, with the result that the number of terms must be the same in both; but there are obviously twice as many whole numbers as there are even, since even numbers alternate by twos in the sequence of whole numbers; one thus ends up with a manifested contradiction.

Guenon insists that number, despite its indefinitude, is by no means applicable to all that exists and the multitude of all numbers cannot constitute a number, which, moreover, is finally only an application of the incontestable truth that what limits a certain order of possibilities must necessarily be beyond and outside that which it limits.

On the other hand, the idea of multitude, contrary to that of number, is applicable to all that exists which allows one to speak of the multitude of divine attributes for example, or again of the multitude of angels, that is, of beings belonging to states that are not subject to quantity, where, consequently, there can be no question of number.

Number itself can also be regarded as a species of multitude, but on the added condition that it be a “multitude measured by the unit” according to the expression of Saint Thomas Aquinas (1225-1274).

The term “indefinite” consists of something unfinished. The “non-measured” is that which has not yet been defined, which is only incompletely realized within manifestation. The multitude of all numbers is “innumerable” or “non-measured,” which is not to say they are infinite, but merely that they are indefinite.

Guenon calls whole number as true number or pure number. He accepts that the numbers other than whole numbers can be considered as the extensions or generalizations of the idea of number. However, he adds that these extensions are also distortions. According to Guenon, numerical quantity has a discontinuous character, whereas spatial or temporal magnitudes, for example, are continuous quantities. “Between these two modes of quantity is a difference of nature such that a correspondence between the two cannot be perfectly established.” He distinguishes the arithmetical unit from the “units of measurement,” which are magnitudes of another sort than number, notably geometric magnitudes. He defines a continuous quantity as an extension-however small it might be that will always remain indefinitely divisible.

Guenon is against atomism, which necessarily implies the discontinuity of all things. He argues extension cannot be composed of indivisible elements, for these elements would have to be extensionless to be truly indivisible, and a sum of elements with no extension can no more constitute an extension than a sum of zeros can constitute a number, that is why points are not the elements or parts of a line; the true linear elements are always distances between points, which latter are only their extremities. Points multiplied by any quantity at all can never produce length, since, rigorously speaking, they are null with respect to length; the true elements of a magnitude must always be of the same nature as the magnitude, although incomparably less: this leaves no room for indivisibles.

Further,

The point, which, being indivisible, is by that very fact without extension, that is, spatially null, but which, as we (Guenon) have explained elsewhere, is nonetheless the very principle of all extension.

For Guenon, Zeno of Elea’s arguments are against atomism and indeed, they prove that without continuity there would be no possible motion.

It is this very conception of motion that is in error, for it amounts in short to regarding the continuous as if it were composed of points, or of final, indivisible elements, like the notion according to which bodies are composed of atoms; and this would amount to saying that in reality there is no continuity, for whether it is a question of points or atoms, these final elements can only be discontinuous.

And, “The possibility of motion presupposes the union, or rather the combination, of both temporal and spatial continuity.”

We consider Guenon as an important and prominent example of thinkers who tried to remind people of the traditional metaphysical ideas. This metaphysical perspective does not share the modern tendency to attribute more importance to the practical applications of science than to science itself. This perspective attempts to link science back to principles of a higher order so that a particular science can be used as a support for elevating oneself to a higher knowledge.

So enraptured that

We’re oblivious to spring and summer.

The magical song of faith on our tongues,

There’s a love like Majnun’s in our hearts.

Those who visit our circle turn to diamonds,

Divine lights keep showering all around.

We do not actually mean “us,”

all these bestowals are from the Providence,

All souls and beloved ones

are from the Eternal’s garden

The ones who face Him are like flowers turning,

In that blessed climate, autumn turns to spring

No wonder their rosy skins look silvered

The infinite color of the Eternal gleaming bright.

The infinite! No other question has ever moved so profoundly the spirit of man; no other idea has so fruitfully stimulated his intellect; yet no other concept stands in greater need of clarification than that of the infinite. David Hilbert

The concept of infinity has always fascinated humankind. The excitement and awe that are affiliated with the very idea of this concept inspire us. Poets, philosophers, artists, astronomers, mathematicians and ordinary people have pondered the questions related to infinity over the centuries. Is the universe finite or infinite? Is matter or space infinitely divisible? Is there eternal life? Where does a finite being get the idea of infinity from?

In this article, we first consider the concept of infinity from a mathematical point of view and then try to explain how that is connected to Divinity and the Attributes of God. An incorrect understanding of infinity in mathematics leads to seemingly irresolvable paradoxes; likewise, an incorrect understanding of the Attributes of God leads to an incomplete or incorrect understanding of creation.

Mathematical infinity

Any serious consideration of infinity inevitably leads to mathematics, where the concept has its deepest roots. Mathematicians use the symbol ∞ to denote infinity. To many people infinity is a sort of number that is larger than all other numbers. However, that is not an adequate description of infinity. Strange things can happen in the realm of infinity. Many intuitive ideas fail when infinity enters into the picture. This leads to apparent paradoxes. Here is one example that is attributed to David Hilbert (1862–1943), the famous mathematician whose quotation appears above.¹ Consider a hypothetical hotel with infinitely many rooms. On a stormy night all the rooms of the hotel are occupied, and a wet and miserable couple shows up asking for a room. The concierge comes up with this clever idea to make room for these people. He says, “The hotel is full but here is what I can do for you. I can move the guests from room 1 into room 2, the guests from room 2 into room 3, and so on. The guests in room n will move into the room n+1, for each n = 1, 2, 3, …”.

So, if we can have a hotel with infinitely many rooms it is possible to accommodate an incoming guest even if the hotel is totally full. But then we see that by a similar reasoning we can accommodate any number of guests, and in fact infinitely many more guests! Clearly, this is not possible in ordinary hotels with finitely many rooms that we are familiar with.

To get more sense of what might happen in the realm of infinity let us consider a couple of other examples. You would have no trouble accepting that two sets have the same number of elements if there is a one-to-one correspondence between them. For example, the set {Monday, Tuesday, Wednesday, Thursday, Friday, Saturday, Sunday} has seven elements because it is in a one-to-one correspondence with the set {1, 2, 3, 4, 5, 6, 7} given by Monday1, Tuesday2,Wednesday3, Thursday4, Friday5, Saturday6, Sunday7. Note that there are other possible ways of setting up a one-to-one correspondence between these two sets but what matters is the existence of one such correspondence.

There is absolutely nothing surprising about this example. We all know that there are seven days in a week. However, if the concept of infinity pops up in a similar situation, counterintuitive conclusions are obtained. You may be surprised to find out that the set of all positive integers {1, 2, 3, 4, 5, 6,…} is in a one-to-one correspondence with the set of even positive integers {2, 4, 6,…}. One way of setting such a correspondence is

1 2 3 4 5

← ← ← ← ←

2 4 6 8 10 …

Therefore, there are as many even (positive) integers as there are of all (positive) integers (this is a mathematically correct statement), even though the set of even integers is a strictly smaller subset of all integers. Such a situation is not possible with finite sets.

There are other well-known examples of “paradoxes” involving infinity such as Zeno’s paradox, and Gabriel’s horn.²

Treating infinity as if it is like other numbers, even with the assumption that it is greater than all other numbers, is a major reason for these “paradoxes.” Their resolutions are obtained with a proper understanding of the nature of infinity and the concept of limit. For example, adding or subtracting one element, or any finite number of elements, from an infinite set does not change its size. In some cases adding or subtracting infinitely many elements from an infinite set does not change its size either!

Even mathematicians struggled with the idea of infinity a great deal before rigorously formulating the concept and the rules about it. The fundamental notion of modern calculus is limit, which is intimately connected to infinity, in terms of either infinitely small quantities referred to as “infinitesimal” or infinitely large quantities. It took mathematicians a long time to formulate the modern rigorous definition of limit, the rules involving infinity and infinite quantities, and sets of infinite size.

Infinity and understanding the Attributes of God

While the concept of infinity is essential in mathematics, it is not the only field where it is so important. Another field in which the concept is very important is theology. The concept of infinity is intimately connected to the concept of Divinity. In mathematics, compared to infinity all numbers are equal, and equally small. This fact is mathematically expressed as a/∞ for any number a, whether it is 7 or 17 million. This is parallel to the theological fact that compared to God we, and the rest of the creation, are infinitely small. Nobody can claim to be greater than any other human being or any other being in the universe, no matter how powerful or wealthy he or she might be. Therefore, we cannot attribute to anybody greatness to the degree of regarding him or her as divine. Nursi expresses this view in the following words:

“O human! It is a Qur’anic principle that you must not consider anything other than God Almighty as greater than you to the degree that you worship it. Nor must you consider yourself greater than anything and thus claim greatness before and dominion over it. For, just as all creatures are equally far from being the Object of Worship, they are also equal in being creatures.”³

We have seen that treating infinity like other numbers (even with the understanding that it is greater than all other numbers) leads to seemingly irresolvable paradoxes. Similarly, treating God like humans leads to an incomplete and incorrect understanding of God and the creation. God is not only greater than all that is created, He is also not bound by the kinds of restrictions that created beings are subject to. With His infinite power, creating one flower is as easy for Him as creating all the creatures on earth every spring. Creating all the trees in the world is no more difficult for God than creating one piece of apple. He can create countless things at the same moment. Creating a trillion things is no more difficult for Him than creating one thing.

Unfortunately, it is all too common to see the evidence of attributing incorrect characteristics and restrictions to the Almighty. For example, some “try to free God from the burden of special acts of creation”4 by attributing the development of species to evolution, natural selection, and random phenomena. They do not seem to understand that it is no “burden” for God to create anything, whether it be a tiny individual or billions of species. He can create a great number of things at once. He is not forgetful or incompetent. Nothing He does interferes with another one of His actions. He continues to create every moment everywhere in the universe and He has power to do so. He is closer to every one of us every moment than we are to ourselves: Assuredly, it is We Who have created human and We know what suggestions his soul makes to him, and We are nearer to him than his jugular vein (Qaf 50:16). Therefore, there is no burden for God in dealing with special acts of creation.

Since we are subject to many restrictions as humans, we may fall into the error of attributing similar restrictions to God. So, we need to be more careful when we consider the Attributes of God. One of the restrictions by which we are bound is time. Unlike us, God is above and beyond time. Many people have difficulty comprehending the idea of destiny (or qadar, or divine decree in Islamic literature). If we understand that God is not restricted by time, it becomes much easier to understand this concept. Since He is beyond time, He does not need to “wait” to see the consequences of events in the universe. While it is not our purpose to have a full discussion of this important article of faith here, we want to point out one of its connections with the topic. A detailed explanation of divine decree can be found in Said Nursi’s Twenty-sixth Word.5 Those who do not understand that God is not restricted by time ask questions like, “What was God doing before creating the universe?” This question is meaningless with a proper understanding of the Attributes of God.

Attributing to God deficiencies by which we are constrained, such as forgetfulness, tiredness, and incompetence, is a great mistake, one similar to treating ordinary numbers like infinity. It leads to paradoxes that we cannot resolve. It prevents us from having a proper understanding of God and the creation. We can only understand the mystery of the creation by a proper understanding of its Creator, and we need to be very careful when talking about the Attributes of this Creator.

Nuh Aydin is an associate professor of Mathematics at Kenyon College, in Ohio, USA.

Notes

1. Maor, E. To Infinity and Beyond: A Cultural History of Infinity, Birkhauser, 1987. See also http://www.brainyquote.com/quotes/quotes/d/davidhilbe181572.html; http://www-groups.dcs.st-and.ac.uk/~history/Quotations/Hilbert.html; http://en.wikipedia.org/wiki/Hilbert%27s_paradox_of_the_Grand_Hotel
2. Ibid.
3. Nursi, Bediüzzaman Said, The Gleams, Seventeenth Gleam, NJ: Tughra Books, p. 160.
4. Collins, F. S. Language of God, Free Press, 2006, p. 140.
5. Nursi, The Words, Twenty Sixth Word, NJ: Tughra Books, pp. 479–494.

Intention and sincerity

Excluding childhood and the time spent in sleep, an average person has about thirty years in total for everything else during his or her lifetime. Out of these thirty years, we spend most of our time on eating, school, work, family commitments, and other essential, but non-religious activities. As a matter of fact, in today’s world where everybody is busy, even a person who deems himself or herself “religious” might be considered lucky if he or she can spend an hour a day on traditional religious activities such as reading religious books, praying, and so on. Assuming an hour a day for thirty years, we would spend about fifteen months in total on traditional religious activities, and this is perhaps the upper limit for most people. So, the finite-to-infinite dilemma becomes even more interesting: keeping in mind that even one trillion years is nothing compared to eternity, how can one earn eternal paradise in all its beauty that is far beyond human imagination by spending not more than fifteen months to earn it? The answer is what Bediüzzaman Said Nursi describes as one of the four culminations of his life: intention.

The intention of an action can simply be defined as the true motive behind that action. A “sincere and pure” intention, in a religious context, can perhaps be defined as the true motive of drawing closer to God, and drawing closer to God only. Nursi states that “Intention changes ordinary acts and customs into acts of worship. It is a penetrating and pervading spirit through which inanimate states and deeds acquire life and become ‘living’ acts of worship. It is also through a special quality of intention that evil changes into virtue or good deeds. Intention is a ‘spirit’ that causes ordinary deeds and customs to become ‘living’ acts of worship.” Our intentions are indeed the soul of our actions and, provided that we believe in God, what makes our actions worthy of earning eternal paradise solely lies in the sincerity of our intentions. In a sense, our actions are a sequence of zeros and a sincere intention is a positive 1 in front of those zeros, whereas an insincere intention is a negative 1. That being said, we must pay particular attention not to act against well-established principles of the religion and claim that our actions still carry a good intention. For instance, under no circumstances is one allowed to harm an innocent civilian, even during war, and therefore there can be no good intention behind this crime.

By striving to achieve purity and sincerity in our intentions (known as ikhlas), we can expect the Most Compassionate and Most Merciful God to treat our activities as if we spend our entire life worshipping Him while still leading a regular, balanced life-provided that we respect the basic principles of the religion and avoid committing major sins. Throughout the Risale-i Nur collection, Nursi places tremendous emphasis on sincerity of intention. Nursi describes the fundamental characteristics of ikhlas in the Twenty-first Gleam: “[I]n this world, and particularly in the services done for the afterlife, a most important foundation, and a greatest power, and a most acceptable intercessor, and a firmest point of reliance, and a shortest way to the truth, and a most answerable prayer, and a most blessed and marvelous means of achieving one’s goal, and a most sublime virtue, and a purest form of worship is sincerity, or doing something good or any religious deed purely for God’s sake.” Nursi points out the relationship between actions, intentions, sincerity, and salvation as follows: “[Intention’s] ‘soul’ is sincerity or acting solely for God’s sake. Salvation is found only in sincere actions done in His way. Sincerity multiplies an action’s worth, and through it one can reach Paradise with a little action and in a short life.” Obviously, we can do only a finite number of good deeds during a finite lifetime. Thus, at least from a technical point of view, we cannot earn eternal paradise unless infinite reward is given to our finite actions. God is so merciful that He promises Heaven to believers with the good deeds of a short lifetime, and in order for this to happen, He demands purity and sincerity in the intentions of those good deeds. In other words, the secret component in this finite to infinite transformation is nothing but sincerity of intention.

So it turns out that ikhlas, that is, sincerity of intention, is not optional: it is mandatory, and it is of the utmost importance. So, how do we achieve ikhlas? Nursi defines the first rule for gaining and preserving ikhlas as follows: “You should pursue God’s good pleasure in your actions. If He is pleased with you, even if the whole world is displeased, it is of no consequence. If He approves, it has no effect even if all others reject your ideas and actions. When He is pleased and approves, even if you do not seek the approval of others, should He will it to be so and His Wisdom requires it, He will make others accept it and be pleased with you.” In our daily lives, we might be performing daily prayers, reading religious books, and performing other traditional worship activities. During these activities, it is critical that we make sure that our intention is to draw closer to God and nothing else. A prayer performed to make others think one is pious, a fast observed for health benefits, a Pilgrimage made to enjoy the journey, or wealth distributed to obtain good reputation will not only dishonor the owner of these deeds in the hereafter, but also be rejected as the intentions behind these actions are impure, insincere, and have no ikhlas in them.

There are numerous other activities in our daily lives that are essential to our well-being and social lives, but nonreligious in nature. We go to school or work every day, we eat, we sleep, we love our parents, spouses, and children, we spend time with our families and friends, we brush our teeth, and so forth. God the Most Merciful tells us that he will treat these activities as worship, but only if they are done with good, sincere intention (again, conditioned upon respecting the basic principles of the religion and avoiding major sins).

The key to being rewarded for simple, regular activities such as those above and achieving ikhlas in our daily lives is to ensure that our sole intention in every one of our activities is to draw closer to God and to draw closer to God only. Every individual can achieve ikhlas in different ways in different situations, but the ultimate goal is always the same: to have good intention and be sincere about it. For example, a man might work late every day so that he earns halal money to provide for his family and still has enough money to make donations for just causes. Another person might go to school to study, thus recognizing the names of God, the All-Knower and All-Wise. One might eat in order to be grateful for the food and be healthy enough to perform the daily prayers. Another person might sleep to rest and be more productive at work so as to really earn his or her wages honestly. A person might brush his or her teeth because he or she knows the body is a gift from God and he or she is responsible for taking good care of it. Another way to achieve ikhlas in our lives, as Nursi suggests, is to make sure that love for worldly things, such as delicious foods and fruits, parents, spouses, children, and friends, is for the sake of God and that all this love is given to God Almighty’s essence, attributes and names. Again, from an ikhlas perspective, perhaps we should reconsider plans to buy a huge flat-screen TV, or a luxury SUV, or a house by the lake with ten bedrooms and start asking ourselves how things such as these that we intend to do in the future will help us draw closer to God, if they ever will.

As argued above, good intention is able to convert daily activities into worship through sincerity and therefore earn its owner eternal paradise by the mercy of God. A second critical dimension of sincerity in intention is its continuity. That is to say, if a sincere believer lived not sixty or seventy years, but a thousand years, he or she would still be doing what he or she was doing all along: trying to respect the basic principles of the religion, avoid major sins, and do as many good deeds as possible with pure and sincere intention. This would not change if he or she lived five thousand years, or even fifty thousand years, and thus, he or she would still be seeking ways to draw closer to God even he or she did live in this world forever. This is why it makes sense that eternal paradise can be earned within a short lifetime.

If God is pleased with our intentions in our activities and if He wishes to do so, He might bestow upon us worldly rewards as well, such as success in career, health, or blessed offspring. A potential pitfall here is that the person might start expecting these rewards to continue and see his or her actions as a prerequisite for them, losing the purity in his or her intention as well as those worldly rewards. Prophet Muhammad, peace be upon him, said, “If anyone’s intention is to seek the hereafter, God will place his sufficiency in his heart and order his affairs, and the world will come to him submissively; but if anyone’s intention is to seek worldly good, God will place poverty before him and disorder his affairs, and only so much of it as has been ordained for him will come to him.”

Nursi warns that believers should avoid things which would harm sincerity the same as they would avoid snakes and scorpions. One should, however, keep in mind that achieving sincerity in each and every one of our actions is a process and might not happen right away. Yet we also should keep in mind that nothing done for His sake shall go unrewarded.

Denying or recognizing Infinite Attributes of God

All the attributes of Almighty God are infinite, although what we see in this world is a finite projection of those infinite attributes, as the world itself is a finite domain in all respects. For example, God is the All-Knower, but what we know about God’s knowledge is very limited. God is the All-Wise, but we do not know the reason behind many things. God is the Absolute Ruler, but the universe that God rules is finite. God is the All-Powerful Creator, but there are only a finite number of creatures in this world. All these examples illustrate that what we experience in this three-dimensional world is a vague shadow of God’s true attributes.

A nonbeliever who claims that there is no Creator and that things just happen by themselves therefore ignores God’s attribute of being the All-Powerful Creator. Someone who claims that there is no God and that there is nobody who rules this universe thus ignores the Absolute Ruler attribute of God, and so on. Denying God’s existence and ignoring God’s infinite attributes is the biggest sin that can ever be committed and it deserves infinite punishment-the fact that this sin is committed in only a short lifetime is irrelevant. (This is the case in worldly affairs too: punishment is determined according to the nature of the crime, not on how long it takes to commit the crime. For instance, a person can commit a murder in one minute, but the murderer may spend the rest of his or her life in prison.) Similarly, consider someone who believes in God, recognizes His infinite attributes, and tries to do good deeds with pure and sincere intention. It makes sense for this person to be rewarded with eternal paradise. From a similar point of view, it can be argued that even one hour of adult life spent with the firm belief in God and in His attributes is sufficient for paradise, and even one hour spent denying God’s existence and his infinite attributes suffices for eternal hellfire.

The intentions argument can also be used to explain how a nonbeliever deserves eternal punishment. As in the case with a sincere believer, a nonbeliever has the intention to continue to commit the sin he or she has been committing: if a nonbeliever lived not sixty or seventy years, but a thousand or five thousand years, or even infinitely many years, he or she would still be doing what he or she was doing all along: denying God’s existence and ignoring God’s infinite attributes, and this is why it makes sense for a nonbeliever to deserve eternal punishment.

A word of caution

It should be noted that this article does not claim to provide a complete logical explanation of why there is an afterlife, why the afterlife is eternal, or why some people will go to Heaven and some people will not. This article simply attempts to illustrate that all these concepts are reasonable and they make sense. Lastly, these are issues of faith and the author believes that matters related to faith and religion cannot be confined within the boundaries of logical, physical, or mathematical principles. After all, it was God who created the universe and everything in it, including the rules of logic, physics, and mathematics. Matters of faith are just that, and it is by our free will that we choose what to believe in. That being the case, one should still keep in mind that if there is indeed eternal life after death, paradise, and hellfire (which we believe there is), disbelief in them will not make them just disappear (just like closing our eyes will not make the sun disappear).

Vedat Akyuz has a PhD in applied mathematics and statistics.

Notes

1. Nursi, Bediüzzaman Said. Al-Mathnawi Al-Nuri, NJ: Tughra Books, 2007, p. 113.
2. Ibid.
3. Nursi. The Gleams, NJ: Tughra Books, 2008, p. 225.
4. Nursi, 2007, p. 113.
5. Nursi, 2008, p. 226.
6. Nursi. The Words, NJ: Tughra Books, 2005, pp. 649–650.
7. Tirmidhi 5320.
8. Holy Qur’an, Al-Zalzalah 99:7.

Eternia is the land of eternity, the land where there is no end to anything. I learned it from an animated cartoon named He-man. At that young age, I did not really feel what it meant to be eternal, because I was not in search of it. For me, what mattered was the excitement I felt in catching the cartoon on time every week. Once the episode was over, the unknown and unexpected adventures of the next episode used to keep my excitement active until then. Today, as I age into maturity, the unknown outcomes of the events in my life and the uncertainties about the possible realizations of my dreams keep me in a state similar to that which I experienced in my childhood. But this time, I am the hero, and the world around me replaces Eternia. I am the one who is going through troubles to gain inexhaustible satisfaction and joy. If you follow me, I will tell you the “sesame” f o r m u l a that opens the doors of Eternia. “It was the fall of 1977. The corridors of the hospital reverberated with the cries of a newborn. His delayed birth was taking place at a later time of the day, due to his mother’s reluctance and fear to deliver him.” Given this very same start, a thousand people could come up with a thousand different stories. You can go further and specify an end to this story, such as “As the sun fell below the horizon, he permanently closed his eyes with tears and a deep smile on his lips.” Still, there will be an infinite number of possible ways of moving from the given start to the given end.

The existence of infinite possible ways of life results in our inability to accurately predict the future. Here are some actual examples to further our thoughts. Lincoln, who finally had great political success, lost so many times in his past enterprises. Without seeing the final point, it is impossible to tell if he was an idealist destined to success, or a loser with an obsession. Similarly, in the case of Einstein, it was impossible to tell at first whether he would be a famous and successful scientist despite his awful start in education, or a dropout student due to his non-conformity and academic inadequacy.

These examples show that we are not only unable to penetrate into the future but also ignorant of the true nature of events. The reason for our both shortcomings is the uncertainty inherent between two points in the time line. Exactly the same thing can be seen in geometry. There are infinite number of curves that pass through a given pair of points, which means there are infinite number of equations that can describe the distribution of a pair of points. The concept of infinite number of curves is enabled by the uncertainty about the path connecting the two points. Are there other instances linking uncertainty to infinity?

What is the size of the universe anyway? Many people have been dazzled by this question throughout history. Studies were done to see if the universe had limits, and if so, to determine its size. Still, we do not have an established answer to this question. Simply, we say the universe is infinite. The reason behind this unproven conclusion is the uncertainty about the limits of the universe. In effect, our ignorance of them translates into the conclusion of an infinite universe. Once more, we see the strong relationship between uncertainty and infinity.

Why is a prison a prison? Is it because you cannot get out of an area whose borders are visible? Or, is it because you are only allowed to certain number of actions there? Both can be part of the answer. Now, help the inmates and make the area of the prison larger so that they cannot see the borders anymore. Let us make their building larger as well. Does it not sound like our situation within the borders of a country? What is happening is that you are introducing a significant amount of uncertainty into the limits of the prison area, which induces a feeling of infinite land for the inmates.

Although we like uncertainty when it gives a flavor of infinity to pleasures, we usually do not like it when it is present in fears and losses. The fear of losing1 and not knowing the limits of the loss are two killers of all pleasures. Uncertainty induces a fear of infinite loss. Try to remember a rendezvous with a friend for which he/she was late. Until the time your friend showed up, the uncertainty of the time of arrival triggered a feeling of infinite waiting time, which made you impatient. When you are sick, not knowing the time you will recover also puts a lot of burden on your soul.2

Another example is found in male-female relations, especially in the western world. By not marrying each other and continuing with dating, individuals introduce uncertainty into their relationship, which gives them a sense of infinite freedom of action in their couple life. The comfort of infinite freedom of action due to uncertainty transforms into selfish moves in the long run. Then, insincere attitudes fostered by infinite freedom trigger an ever-growing mistrust within the couple due to the uncertainty about the individuals’ fidelity to each other, and the pair disintegrates.

Similarly, the uncertainty of the moment of death triggers a feeling of infinite life.3 Our lack of vision of God and the angels induces an infinite level of freedom of action. Human beings, especially youth, are challenged by this hypothetical infinity of life and their supposed freedom of action. However, the actual coming of death permanently removes the uncertainty about the angels and God. Thus, uncertainty serves as a means of eliminating the permanent residents of paradise from the permanent residents of hell.4

To conclude, this world is a land of uncertainties except for two things: birth and death. Although their qualities and actions are uncertain, whoever comes to this land definitely leaves it one day. By exercising our free will here, we weave our deeds, as everyone else does, between the same start and end, i.e. birth and death. However, the uncertain nature of this world tempts us with a hypothetical infinity embedded in its pleasures and burdens. Maybe this supposed infinity is a manifestation of two eternal lands, i.e. paradise and hell, whose existence is uncertain for us. Then, we, as humans, need a Helper to survive under the uncertainties of this world, a merciful Omnipotent Being who can convert these uncertainties into the infinite bliss of the actual Eternia-paradise in the company of our Creator.

Notes

1. Hadith: “Remember death very frequently, the spoiler of pleasures.”
2. Nursi, S., The Flashes, 25th Flash, 11th Remedy.
3. Nursi, S., The Flashes, 21st Flash, 1st Means of Attaining Sincerity.
4. He Who has created death and life, so that He may try you (and demonstrate to yourselves) which of you is better in deeds… (Mulk 67:2)

Nursi says that people are “connected with almost all beings” and because of this “a boundless capacity to love [these things] has been included in [our] nature[s].” However, even though individuals have the freedom to love transient things, these finite objects cannot fulfill them in the same way as the Enduring One (al-Baqi) can. What most people do not realize is that they “constantly suffer the pain of separation” because their infinite capacity for love, which has been given to them by God, is not fulfilled by things of this world. Like Rumi’s reed-flute, people yearn for a return to their reed-bed. By “misusing [their love] and spending it on transitory beings, [people have] done wrong and suffer the punishment for [this] fault through the pain of separation.” Individuals do not need to live in the state of suffering, however, and Nursi’s Third Flash offers them a way to transcend it.

The first part of the Sufi phrase calls people to sever that desire give one’s love to the finite things of this world. True, “the shadows of the shadows of the manifestation of His Most Beautiful Names” are beautiful and able to be loved in this world, but they themselves are not God and are not fit for the love that only God deserves. When people love only things of this world, they suffer; when they focus their love on the Enduring One (al-Baqi) they are brought closer to God and are fulfilled in ways not of this world. When they sever their ties to finite love, they open themselves to a Higher Love, an Infinite Love. The purpose of the first part of the Sufi phrase is to comfort people with knowledge of an Ever Enduring Love, and remind them that the love of this world pales in comparison to God’s everlasting love.

The second part of the Sufi phrase not only heals people’s spiritual wounds, but also acts to satisfy “the intense wish for immortality in [their] natures[s].” Nursi says that people long for immortality, because God is immortal and “the matter most important to [people], [their] most pressing duty is to form a relation with the Enduring One,” who is immortal. By placing their love in the finite, in loving only things of this world, people are limiting their capacities for Eternal Love and as a result they suffer. The only fulfilling love is love for the al-Baqi, the Enduring One, the Immortal and Undying Love of God. Once human beings separate themselves from the love of this world, as the first part of the Sufi phrase directs, people can then be healed by the knowledge that God is the Enduring One, and God’s love will never fade away.

Nursi insists that it is not only possible, but preferable, to live a life of infinite love in the present moment. To explain this point, he uses the illustration of the hands of a clock:

Just as the hands of a clock counting the seconds, and those counting the minutes, hours, and days superficially resemble each other, but differ in respect to speed, so too the spheres of the body, soul, heart, and spirit in man differ from each other.

Nursi says that the spiritual nature of humans is not bound by time. Yes, the physical existence of people’s pasts are extinct, and their futures not yet existent, but the present moment in which they live, in the minutes and hours that they live for the Love of God, they are immortal-“Yes, one second on the way of love, knowledge, and pleasure of the Truly Enduring One is a year.” Although it may often seem that “time flies when we are having fun,” in reality a “moment’s union for God’s sake within the bounds of the Enduring One of Glory’s pleasure is a window of union, not only for a [moment], but [permanently].” Speaking of the human perception of time and place, Nursi seems to anticipate Albert Einstein’s theory of relativity-“The broad Earth with enemies is like a drinking-glass, while the eye of a needle with friends is like a broad arena.” Understanding this imagery, a moment in God’s love can be an eternity of pleasure and fulfillment, and a moment without God’s love can seem like an eternity of suffering. It is because of this that Nursi, and the multitudes of Muslims before him and since, have prayed the five prescribed daily prayers to God. Through prayer Muslims are linked to God and are reminded of God’s Enduring Love; and through remembrance of the Enduring Love of God the transitory becomes eternal (baqi).

Sufi tradition also gives two other images for this enduring love: that of the fabric of life, and that of the “conveyor belt.” For the first image, life is seen as fabric. If during one’s life a person does nothing of merit, nothing of love for God, then the fabric remains plain, unbeautiful, and transient. If one does bad things and denies God’s love, the fabric becomes dirty and tattered and the fabric suffers. However, if one does what is beautiful and one remembers the Enduring One, flowers are embroidered on the fabric and these flowers last through all eternity, sustained by God’s Infinite Love. Likewise, the image of the conveyor belt symbolizes the transience of this world-for every deed done in this life, something goes on to the next. If one does nothing beautiful, nothing for God, then nothing is placed on the conveyor belt and nothing goes into the next life. If one does bad things or good things in this life, then these things go on into the next life, not to be seen again until death. One day, the conveyor belt stops and at that moment there is nothing left that one can do.

Similar to the Catholic Jesuit notion of Ad Meiorem Dei Gloriam (that is, living for the Greater Glory of God), Nursi’s reflections on the work of humans for God alludes to how spiritually profitable a life devoted to God can be:

Serve for the sake of God, meet with others for the sake of God, work for the sake of God; make all of your actions ‘in God, for God, and to God,’ then, all the moments of your life will become like years.

When working for the sake of God, when loving people for the sake of God, when living life for God;, a moment is like a year. Just as in our dreams a day can seem like a year, a life dedicated to and in love with God can feel like an eternity-in fact, a moment with God is an eternity, a glimpse of the Enduring Love of God.

This Sufi phrase of al-Baqi, which is formed under the name of God, ‘al-Baqi,’ calls people to cut ties with the finite love that this world offers. It also comforts human beings by reminding them that only God’s infinite love can bring us healing, fulfillment, and an everlasting union. In his Third Flash, Nursi eloquently affirms that within the Love of God there is the promise of an Enduring Love, a love that cannot be found in the worldly shadows alone.

Michael David Graskemper is a graduate student at John Carroll University, Department of Religious Studies

Reference

Nursi, Bediuzzaman Said, The Flashes Collection, Sozler Nesriyat, Istanbul: 1995, pp 29, 30.

Nephrology is the study of the kidneys, the essential organ of excretion, and elements related to it. If due observation and research are thoroughly carried out on every part of the human metropolis, when the integrated hierarchical mechanisms are analyzed, it can be seen that numerous events are constantly taking place; these can open new doors to various sciences and offer us new horizons of reflection on the Divine Wisdom. In this way, these events are an interpretation of the saying “If all the seas were to be made up of ink, and all the trees were pens, they would still not be able to write down the knowledge of God,” which points to the existence of an Omnipotent Being with infinite knowledge.

One of these constant activities in our body is the excretion system which works like a well-regulated clock. In the body of a healthy adult, the bladder, after an accumulation of urine that has been filtered through the kidneys, resembles a balloon that has been inflated. The bladder enlarges according with the amount of urine that has been filtered by the kidneys. The autonomous nervous system has a significant role in the wonderful functioning of this urine storage mechanism. If we assume that an average adult urinates 5-6 times a day, we can say that the average time adults spend for urination is about 5 minutes daily. The autonomous system of a baby however, is not properly developed and has a very limited capacity of urine storage. Therefore, the bladder of a baby is frequently emptied. As for newborn babies, the number of times that they empty their bladder can be as much as 20-25 times a day. In this way, both the urine that comes from the kidneys flows to the bladder freely, and the urination channels are automatically cleaned.

In order to allow the urine flowing from the kidneys to the bladder to pass freely through the small tubes that measure between 3-7 mm (the urethra) the inner pressure in the bladder needs to be kept at low levels. This is realized in the body of a baby by the frequent emptying of the bladder, until the autonomous nervous system has properly developed. After the sixth month, the autonomous nervous system develops, the urine storing capacity of the bladder increases, and the number of urination times decreases. As the child grows, the ability to store urine and to excrete it at the proper time and place is completed in a gradual process. Being only one of the hundreds of wonders in the human metropolis, this balance is maintained as a clear reflection of Divine Mercy.

Cooperation in the urinary tract

There is a fascinating cooperation between the departments of this metropolis. The urine that is excreted by the kidneys does an excellent job of cleaning all along the urinary tract, like a river cleaning the stones over which it passes. This cleaning includes not only any microorganisms, but also any gravel which might form in the urination channels. Research has proved that when bacteria are injected into the bladders of healthy people no infection is developed in the urinary tract, since the pressure of their urine excretion drives the bacteria away. The protection of the kidneys by both the expansion of the flexible bladder wall and the decrease in the pressure inside the bladder is a good example of the cooperation between the kidneys and the bladder. If the pressure was not able to be decreased by such flexibility, the kidneys could not function under the resulting high pressure. The smooth functioning of the kidneys is maintained through urine excretion in suitable amounts and at a suitable pressure. Taking all this for granted, one usually comes to realize what a blessing the excretion system is only when there is a problem.

The urination of a baby in the womb

The placenta has the duty of being the main regulator of the feeding and excretion systems of a fetus. The kidneys of a fetus also play significant roles. For instance, they balance acidity through liquid electrolytes, carry out the functions of hormone production, and growth. From the fourth month on, the fetus begins to produce urine and the bladder is filled and emptied every 30-60 minutes. The urine inside the bladder is emptied into the amniotic fluid which surrounds the fetus like a protective pad. The duty of the amniotic fluid includes protecting the fetus against the changes in the mother’s body temperature, providing space for normal development, providing suitable conditions for food and oxygen supply, and protecting the baby against any possible blows that the mother’s belly might be exposed to. The amniotic fluid in which a baby is placed is a liquid similar to urine, and it is produced for the comfort of this new guest to our world.

The formation of urine

The blood, which is charged with transmitting nutrients and oxygen even to the remotest parts of the body, brings the toxic disposal our body has produced due to various causes on its way back to the kidneys. The blood, which bears the responsibility of maintaining the health of metropolis of the body, is continuously filtered when it reaches the kidneys. In the kidneys, the waste material is so delicately separated that it as if the kidneys know “which substance is needed in what amounts,” without meticulous calculation and infinite knowledge. Artificial kidneys supported by latest technology (like modern devices of dialysis) are never a substitute for a real kidney. A healthy kidney, which is made to serve under the veil of causes created by the Owner of infinite knowledge and power, does its duty with divine guidance. It sends what is to be disposed of to the bladder in the form of urine.

The substances urine contains are used when diagnosing illnesses, for they possess different qualities. The color, smell, and density of the urine and the substances it contains give us various clues about the health of that person. Deviations in the sensitive balance established in the excretion system are considered to be a sign of something gone wrong in the human metropolis. In other words, a urine analysis is an important indication of health, for many factors, such as our lifestyle, our eating habits, disease, and the medicines we use can effect changes on the consistency and composition of the urine (figure 1-3). The urine of a healthy person is yellow and clear. This color is derived from the urochrome pigment along with urobilin and uroerythrin. Colorless urine can be seen if there has been recent fluid consumption, or the use of diuretics, or disorders such as different types of diabetes (diabetes mellitus, diabetes insipitus, etc). The color of urine can fluctuate between yellow and clear within the day (for example, 1-2 hours after a meal it can be clear, whereas it can turn to dark orange due when one has been making heavy effort). Beetroot, artificial colorings and some drugs can turn the urine red. When the complaints of a patient are taken together with a medical examination and lab analyses, urine samples which are colored red-brown, blue-grey, milky-white or which are cloudy may all be symptoms of disease.

As we learn new things about urine we will hopefully attain a deeper comprehension of the infinite divine blessings that have been bestowed upon us, offering thanks to our Creator from new perspectives. 

The meanings of beauty need to be redefined all together in order to be properly appreciated. Even though this has been done many times by masters of esthetics, we will try to explain our understanding of beauty in the context of our philosophy and belief, where every beautiful object is a mirror image or a reflection of Divine Beauty. Furthermore, anything that incites appreciation, love, and astonishment is seen as a reflection of Divine Beauty. Therefore, when our hearts are filled with these everlasting reflections, we are always able to perceive ourselves within beauty.

Through such a perspective, we conceive of even seemingly sad things, like death and decay, as being the essence of the most amazing harmonies, thus feeling ourselves to be among infinite beauty. In this way, we never feel upset or discouraged by the fading of our attachments. On the contrary, we experience the outward beauty of faith, breathe in the motivating air of hope, strive to do righteous deeds in the hope that we will fulfill our spiritual desires, seek sincerity in every deed, struggle to be tolerant, merciful, and constructive in all our behavior, and we strive to accept those deeds done for the sake of God as being the best moments of our lives. For us, faith becomes the light that illuminates our horizons, and a source of hope for our expectations. Only through faith can the chaos of nothingness be overcome. Only through faith can we reach the happiness that spreads from our hearts to the infinite Paradise. Through its vastness and power, faith becomes beautiful. Through faith one can find the Divine Unity, turn toward the Truth, and reach worldly and heavenly bliss, being released from all worries.

These are all the beauties within beauty that can be enjoyed through faith in God. The universe, events, objects, and human intellect that can evaluate these are all beautiful in that they help us find faith. Likewise, all righteous acts that stem from faith, good morals, and the desire to reach real faith and progress in the spiritual ranks of love and knowledge of God are also beautiful. Even acts of worship, or calamities that strike us, or sins that we find hard to resist, all of which may seem like hardship from the outside, represent beauty if we adopt the right attitude toward them. Real beauty belongs to God. He necessitates perfection, which is unique to Him alone. All of existence is a different mirror of God, reflecting His beauty as much as its potential allows. Stars sing of the beauty of light every night, they wink at us and remind us of Him through their unbelievable beauty. Moonlight touches the hearts with its softness and beauty and the sun spreads its mercy on each and every thing without distinction. It pours down its light and colors all day long, and sets, giving us another marvelous scene. The seas rise and fall through the tides, and take care of millions of living beings, like a merciful mother. Mountains, with a sheer size that makes our hearts pound, seem to be whispering something to the skies, playing along with the clouds. Mountains invite the rains, and stop the oceans with their proud look, yet they become mere earth. All the voices from the birds, sheep, forests, and mountains make up such a harmonious song, feeding our souls with the most peaceful rhythms. Yes, everything from the smiling skies to the thousands of glories of the Earth is so beautiful that they make us aware of the beauty of Heaven and we simply say “it just could not have been more beautiful!” And human beings themselves seem to be the most beautiful among all this beauty. With our outward looks, our inner world of senses, thoughts, and faith, we are like a sample, a replica of the universe. It is therefore apparent that humans have been created as a key to solve the riddle of creation. This is the way we should perceive beauty, seeing it only as a tool to interpret the real meaning of existence. In this enormous arena of beauty, everything can be seen as a point referring to the Creator. If, with our pure intentions and the right perspective, we can perceive existence as a mirror reflecting the beauty of The Beautiful, we can experience spiritual joy.

In fact, it should not be difficult to be aware of this. Sometimes, only a beautifully designed city or a place of worship is enough to make us enjoy this holy pleasure. Sometimes, a nice poem, a legend, a well-told story, or music that is meant to touch our human sensibilities, that wafts harmony into our soul, can draw us to this beauty, and make us hear the beauty of some other abode. However, the continuity of the joy that these spiritual pleasures give us and the avoidance of suffering depends on relating this worldly beauty to its real Owner. Otherwise, all will end at the most unexpected moment. The Sun will set and the Moon will disappear as our soul sinks into the darkness. It is impossible for souls in decline to appreciate and enjoy beauty. Since every beauty of this world fades away and leaves us one day, for our soul not to despair and to be able to enjoy the real and infinite beauty, it is necessary to establish the true Owner and Originator of the beauty we observe. A poet, relating this concept to a Qur’anic verse said: “Even faces as beautiful as the Sun set in the end. Thus I love not the temporary ones, but the infinite beauty that does not fade away.” Rumi illustrates the same point in the following verses: “My God, after seeing You, knowing You, I do not see the beauty of this world anymore . . .”

Yes, material beauty is just a means to acknowledge the Most Beautiful. Getting stuck at the “means” and not realizing the ultimate goal of this beauty, which shows us the real Beauty of God, is nothing more than being blind to the real goal, the real Truth. The Creator has placed all sorts of beauty and signs along the way so that we will not be blinded; however, for souls that have not reached this realization and which lack the faithful perspective, this beauty is nothing but a source of mischief, or means leading them to sin. But for those who can think clearly, even the love for the beautifully created is only the shade of the shade of the shade of the Beauty of the Beauty of God. As long as we are able to distinguish between the Real Source of Beauty and its reflection, the love we feel for the created is harmless. In this sense we can accept the created as beautiful.

Sometimes, we are aware of the innermost feelings in our souls which sense only the abstract beauty that fills our hearts with God’s love alone. At these moments, when beauty and love become intertwined, the soul, with its unique ability to see, feel, and hear, senses the Real Source in everything that it meets. Through its heavenly bestowed mechanisms, our soul perceives the essence of everything and attributes this to its real owner. It is the lack of this mechanism that renders the materialists and the naturalists short-sighted; they only observe the outer beauty of things, and fall short of perceiving the spiritual and infinite horizons. However, all beauty exists to take us to the Heavens, to the Godly realms.

Every human being displays themselves, their feelings, and their abilities in their works. This means that they are presenting something for others who will observe and perceive through the prism of their insight. God presents His works embellished with color, meaning, and content in order to make Himself known and loved for those seeking Him. We are sent to this world with the responsibility then, to affect and reshape things with His permission, to reflect our understanding, but also to be attentive to the true purpose and meaning of the creation of things. The universe and the happenings in it are thus perfect examples to imitate. However, no matter how perfect the example is, everyone will draw and interpret objects according to their abilities. Charles Lalo, commenting on esthetics once said: “The magnificent scene taking place at the time of sunset will remind a farmer of the rather unesthetic thought of dinner; the physicist, not of beauty or ugliness, but of rightness or wrongness of the analysis of a matter. Thus, the sunset is beautiful only for those who are aware of beauty.” Therefore, only those who see with God and hear with God can appreciate the beauty that spreads throughout existence as their senses are tuned to the spiritual realms.

A heart that beats with God’s love and which desires to meet Him, will be aware of many signs from God along the way. Such a heart will feel the excitement of meeting Him, as it reads the messages from the Moon, the sunset, the twinkling stars, colorful nature, the blowing of the wind, the snow. . . And such a heart would utter, in the words of one who has reached unity of sight and heart, “Everyone from everywhere is coming to watch Your beauty. From beneath and from above, every being is declaring You, displaying the reflections of Your beauty.” This heart looks at nature and objects, but sees the Unseen spiritual realms. This is the point of love and connection with God.

A point of Divine Unity*

In His Name, be He glorified.

There is nothing but it glorifies

Him with praise.

My dear and faithful brothers and sisters! While reflecting on air during a mental journey, a subtle point related to Divine Unity suddenly became clear to me in the word He in There is no deity but He and Say: He is God. I observed that the way of belief is so easy as to be necessary, and that the way of misguidance and associating partners with God is so difficult as to be inconceivable. I shall explain this comprehensive matter briefly.

A handful of soil serves as a flowerbed for hundreds of flowers. If this process is attributed to nature or causality, each handful must contain hundreds of minute machines or factories [to produce the flowers] and an immaterial factory [to determine and govern their lives in place of the Divine Knowledge and Destiny]. Or, each particle must know how to make each flowers different characteristics and living elements. In other words, each particle would possess infinite knowledge and power, both of which are unique to God.

Each air molecule (a conductor of Divine Will and Command) in each gust, each shift of air making the sound He, must have minute centers, exchanges, receivers, and transmitters of all human means of communication so that each air molecule could perform those countless acts simultaneously. Or, each particle or molecule must control all relevant faculties (of mind, spirit, personality, etc.) of all means ofcommunication, know their users languages, and transmit them to the other particles simultaneously. Unbelievers, naturalists, and materialists ask us to believe this impossibility.

(If attributed to the Majestic Maker, however, all air particles become soldiers under His Command. Through their Creators permission and Power, their connection to and reliance on Him, and the manifestation of their Makers Power, they perform their innumerable universal duties as easily as if they were one particle with only one duty.)

Their duties are performed instantly, and with the ease of uttering He and the movement of air. And so air becomes a page for the Pen of Powers endless, wonderful, orderly inscriptions. Its particles become the Pens ribs, and the particles duties become the points inscribed by the Pen. All of this is done with the same ease as it takes to move one particle.

While observing and studying the world of air, I saw this truth clearly and in detail. I realized with a certainty based on knowledge that this is so because the actual word He and its utterance are both brilliant proofs and gleams of Divine Unity. I understood that its meaning and resonances contain a radiant manifestation of Divine Oneness and strong proof of Divine Unity. Moreover, that proof contains an indication to the identity of the One to Whom the indefinite, third-person, singular pronoun He refers. I came to know that both the Quran of Miraculous Expression and those who constantly recite the Divine Names frequently repeat this sacred word to express Divine Unity.

If several points are jumbled around one, it is almost impossible to distinguish that point. If you do several jobs simultaneously, you will be confused. If a living creature is loaded with many burdens at once, it will be crushed. If you listen to or say many words simultaneously, they become confused and muddled.

However, I saw with a certainty based on clear observation that although thousands of points,letters, and words are deposited in each air molecule ” even in each particle ” they are conveyed without confusion or irregularity. Also, the air performs its duties simultaneously and without confusion. Each air molecule or particle bears heavy burdens without lagging behind or displaying any weakness. Also, I witnessed countless words enter ears and leave mouths with perfect order.

(By carrying out all of its extraordinary duties, each particle and air molecule proclaims in the tongue of its being and functioning, in ecstasy and perfect freedom, and through its testimony: There is no deity but He and Say: He is God, the One. All of them travel among air-clashing waves like lightning and thunderstorms in perfect order and harmony.)

Given this, can we assert seriously that each particle or air molecule necessarily has infinite wisdom, knowledge, will, power, and all qualities needed to dominate all other particles so that it can perform those functions? Or, from a position of certainty based on knowledge, clear observation, and personal experience, can we assert logically that air functions here as a changing page for the Pen of Power and Destiny, used by the All-Majestic One with infinite knowledge and wisdom, and as a signboard (the Tablet of Abrogation and Confirmation) reflecting a changeable copy of the Divine decrees preserved on the Supreme Preserved Tablet?

Air shows the above-mentioned wonders and manifestation of Divine Oneness by transmitting sound, and shows the impossibility of what the misguided assert. In the same way, it performs other duties (e.g., transmitting such subtle forces as electricity and light, attraction and repulsion) while simultaneously transmitting sound. It also carries out duties essential for plant and animal life (e.g., respiration and pollination) with perfect order and without confusion.

Air is a very important means of conveying the Divine Will and Command. It performs its duties without any real or imagined interference from random chance, blind force, deaf nature, confused and aimless causality, or powerless, lifeless, and unknowing matter. I also understood that each particle and air molecule proclaims in the tongue of its being and functioning: There is no deity but God and Say: He is God, the One. Just as I witnessed these wonders in the physical aspect of air with the key of He, so air itself became a key, like He, to the World of Symbols or Ideas and the World of Meaning.

Peace be upon everybody!

* Adapted from Bediuzzamans Thirteenth Word.