While wandering near a creek, have you ever seen bugs walking on the surface of the water? Have you felt any resistance when you hit the surface of the sea with your palm? Have you ever thought about what causes these to happen?

The two examples of events given above happen to be related to “surface tension.” This situation is described as the force per distance unit that is generated in the opposite direction of the direction of expansion between two different surfaces. It can take place in between two different liquid layers, as well as among liquid-gas and liquid-solid layers. For example, the surface tension of a liquid forms in the transitional region where liquid and gas molecules make contact. The source of this force generated on the liquid’s surface is the intermolecular attractions that hold the liquid molecules together. Each molecule in the liquid is pulled via opposite but equal forces by neighboring molecules, thus no single force is acting on the molecules. However, the molecules on the surface are only surrounded by one side, therefore they are pulled inwards with a net force (Figure 1), causing a tension similar to an inflated balloon on the surface of the liquid.

When we look carefully to a stagnant pool of water in a container, the surface of the water seems to be covered with a thin layer of film, resembling a stretched membrane. In order for a substance to enter or leave the body of water successfully, it must puncture this membrane. In other words it has to overcome this intermolecular force. If a steel blade is laid horizontally on the surface of the water slowly, it floats despite that it is made of denser steel because it cannot overcome this surface tension. Surface tension is the principle responsible for the trampoline-like behavior of liquid surfaces. Many insect species created for aqueous habitats can maintain their lives on the water via their adapted leg parts. The best example of this is the water strider. This insect lives on water by taking advantage of water surface tension. Though the surface tension principle is a requirement to be on the water, it is also necessary that the strider not to stick to the surface. Therefore, this insect is also equipped with a paddle made of waxy hairs at the end of their legs (Figure 2).

Forces of cohesion and adhesion

The intermolecular force of a liquid among the same kind of molecules is called the “cohesion force,” and intermolecular attraction between different types of liquid molecules is called the “adhesion force.” These forces of adhesion and cohesion determine the behavior of a liquid in a container. If some mercury is put in a glass tube, because the cohesive forces among the mercury atoms is greater than the adhesive forces in between the glass container and the mercury, the mercury assumes a convex shape. Here, mercury has a tendency to reduce its contact with the glass and does not wet it. In contrast to mercury, when water is put inside the tube, the surface layer between the water and air takes an inward concave shape. This is caused by the greater adhesion force between the water and glass compared to the intermolecular cohesion forces of water. Water wets the glass since it has a tendency to spread towards the greatest surface possible (Figure 3).

When there is a thin layer of water or tea left in between a tea glass and its plate, the adhesion force glues the glass and plate together. Since the adhesion force is greater than the weight of the plate, the glass cup can be lifted together with the plate. Contact lenses also stay in position on the eyes without falling through the help of adhesion forces. Tears strongly pull both cornea and the contact lens together, holding it in place.

The capillary effect

A liquid inside a thin vertical tube is pulled upwards by the inner surface of the tube until the adhesion force becomes balanced with the liquid weight. This event is called the capillary effect or capillarity. Liquids naturally rise in narrow channels if there is sufficient adhesion force. This effect is enhanced in narrow tubes due to the smaller volume of the liquid, but reduced in wider tubes because of gravity. Therefore, there is an inverse ratio between the channel diameter and liquid height in capillarity.

The reason a sponge absorbs water effectively is the easy rise of water in the capillary openings of the sponge. In a similar fashion, there are small openings found in paper napkins and towels. When a napkin makes contact with a wet surface, water is pulled inside the small openings with capillary action, thus removing the water from the surface. This is because the adhesion force in between the napkin tissue and water is greater than the cohesion force of the water molecules. This principle is also utilized while getting blood samples with capillary tubes. In addition, the removal of continuously excreted tears by the capillary ocular ducts that extend into the nasal cavity is another example of this wise law.

Capillary action is also important for the transportation of water molecules from humid parts towards drier areas in soil, providing for the spread of water. The same principle is also vital to nourishment of trees. Every part of a tree encompasses capillary channels, all the way from the tips of the roots to very ends of the branches. Water molecules are transported to the leaves against gravity when they enter the tips of these capillary channels at the roots. Even though the adhesion forces between the water molecules and the root’s tissues win the war against gravity, at a certain height, this force becomes equal to the gravitational pull, thus not allowing water molecules to climb higher. This is the ultimate height a tree reaches. Capillarity also affects internal water pressure of a tree, leaf size, photosynthesis, and other factors. This is why the leaves of a tree are usually bigger on lower branches compared to higher ones (Figure 4).

The surface tension of water is the highest among the known values of other liquids and this has very significant biological effects. If the surface tension of water was to be lower, like other liquids, it would not be able reach the higher parts of plants through capillary action, thus preventing the survival of taller plants. The vegetation waits patiently as nourishment is delivered to its roots. Water has been assigned a vital role in this service.

The water-dependent survival of plants is made possible through the capillarity and surface tension. Could this amazing phenomenon, in which the capillarity is on duty to water the leaves on the highest branches of the tallest trees to ensure the maintenance of life, take place via blind atomic interactions or accidental occurrences?

How do liquid droplets get their shape?

Objects with a wider surface will have a greater surface tension. Since the force of surface tension, acting on per unit distance, is equal to the surface energy per surface area, a wider surface requires greater accumulation of energy on the surface. All the matter in the universe tends to stay at a lowered energy level. Therefore, it is ideal for objects to reduce their surface area. When the surface area to volume ratio of the known geometric shapes is investigated, the smallest ratio is found to belong to a sphere. A small value of this ratio means the most reduced surface area per volume. Among enclosed containers of equal volume, a sphere is also the one with the smallest surface area. When two equal volume watermelons of spherical and cubical shape are peeled, the spherical one will produce the least amount of rinds.

Because of the reasons mentioned above, liquids take a droplet shape immediately when they fall, reducing their surface area. That is why a water droplet dripping from a faucet, a falling rain drop, and a droplet on a leaf are all in the shape of a sphere (Figure 5). It is the same principle that makes planets and other heavenly bodies resemble a globular form. This indeed points to an Almighty Power who plans the motions, positions, and assignments of all the objects, from particles to giants, managing and dispatching them as The Self-Existent One holding everything together.

Factors affecting surface tension

Temperature increase is directly proportional to a decrease in the surface tension in most liquids. When the temperature of a liquid rises, so does the kinetic energy of the particles in it, making these particles move faster. This leads to a weakened intermolecular attraction that binds molecules together. Since this change affects the particles at the surface, it decreases the tension. Improved soaking of hands and laundry can be achieved with warm water during cleaning because heat reduces the surface tension. This helps with better cleaning results in a shorter amount of time.

In a similar fashion, soap and detergents also reduce the surface tension of water. If a small soap bubble is placed on a water droplet, the droplet spreads away instantly. This indeed tells us that the soap bubble reduces surface tension.

If a substance dissolves in a pure material, surface tension is found to change depending on the solute and the solvent structure. For example, salt decreases the surface tension of water. Salt weakens the intermolecular bonds of the water molecules, and therefore reduces the cohesion and surface tension. That’s why sea waves foam when they hit shore.

Can surface tension be associated with the ability of unconscious and primitive atoms as the principle behind many functions and tasks in the lives of plants and animals? Do such wondrous events happen by chance? Isn’t this principle such a blessing of the One who easily provides what is necessary to all living things, nourishing them in time according to their needs?

In the mechanics of engineering, the force of inertia depends on the acceleration of a moving object along with its mass. Therefore, the force of inertia on an object is equal to the mass times acceleration. Accordingly, the faster an object gains speed, the greater will be the force of inertia. However, this brings along many problems in practice. In machines with pistons (compressors, pumps etc.) which are accelerating and slowing down speedily, a great force of inertia is applied to the machine’s elements. This gives way to a significant amount of resistance and abrasion problems. In addition there are other such troubles inside an engine’s cylinder during the four strokes (induction, compression, expansion, and exhaust). A greater force is required for brake mechanisms at the motion of elevators, banded conveyors, and automobiles. This is why brake linings wear out in a short time.

According to the principles of thermodynamics, where a piston-cylinder system is concerned and the compression or expansion of gases is slower, minimum energy is required during compression and maximum energy is obtained during expansion. On the other hand, if this process of compression and expansion is realized quickly, then the energy consumption is maximum during compression and minimum during expansion. Turning the tap too quickly to stop the flow of water causes a greater force of inertia inside, and if this continues to occur frequently, the faucet may need repair.

Things done too quickly present similar consequences. A person becomes rich as a result of working for long years has a better chance to appreciate his conditions in comparison to someone who becomes rich by winning a lottery. Decisions made in haste without consulting with others mostly yield negative results, which happens rarely in those made after consultation, since the risk of mistakes is reduced.

Living things and gradualness

For living things, adaptation to hot or cold environments is also a gradual process. If adaptation is not realized slowly, they cannot survive. For example, if a man starts by taking showers with hot water, then gradually with warmer water, and in the end with cold water, his body can develop endurance to cold water, even freezing water in winter. Some mothers wrap up their children too well even in good weather, and thereby do not let them adapt to changing weather conditions; such children catch cold easier than others.

Principle of gradualness has an obvious relation with being steadfast and patient, as in the cases of hatching chicks and silkworms in their cocoon. Human intervention to accelerate these processes will naturally have some negative effects. If the wing of a chick is forced to separate from the egg before the due time, it might hurt the animal seriously.

According to dieticians, stomach problems are more commonly found in those who eat quickly than who eat without haste. In addition, it is also known that meals cooked in low heat are more delicious and have higher nutritional value. It is essential for food quality to cool the foods gradually before they undergo freezing. Similarly, before cooking frozen food, it is advised to thaw out the food, gradually bringing it to values near room temperature.

A frog’s nervous system is sensitive to sudden changes, not gradual ones. For this reason, when it is thrown in hot water, it jumps back right away. But if the water is heated gradually, the frog will show no reaction, it will even enjoy it. Despite the increasing heat, the animal feels numb more and more, to such a degree that it fails to escape before it is too late. Even though there may be no obstacle to jumping out, the frog pays a heavy price for the heedless life it led. So, it is very significant to be able to observe the gradual changes and take measures accordingly.

Human life reflects this principle in many ways. From biological development to learning new subjects, different kinds of progress depend on a gradual process. Nevertheless, human beings are too impatient to follow gradual patterns. You may have heard from people who want to learn a new subject-such as a foreign language-express how they wish there were some pills or other quick ways to realize their aim all at once.

Indeed, mankind is ever hasty. Success and joy, however, rest with patience and being in the right tune with gradualness.

My most recent visits were to Pakistan and Finland, two countries that on the surface have very few in common, if any, in terms of continent, climate, people, culture, population, economy, politics, stability… you name it. And my conviction was once again confirmed that it is absolutely a necessity to see a country with your own eyes and get firsthand knowledge to be able to see beyond what you have through other means.

The Fountain presentation on media and values was conducted in four universities with great interest and participation. Students and faculties actively joined the discussion with invigorating questions on the universal themes and values The Fountain cherishes. Despite what the Western mind would expect of Pakistan, interestingly, the female ratio in the academia is visibly very high and their voice is no less strong than their counterparts in the West.

Finland has its own texture and character by all means. Although it was mid-April, there were still pockets of muddy snow especially in the northern-facing shades of the landscape and buildings. Hardly anyone in the streets was around, even at the airport terminal, with the exception of those enjoying the spring sun during their lunch break.

However different any given country might be from another, culture of coexistence is inevitably a common theme in both regardless of continent or culture. The Minister of Culture and Sports, Paavo Arhinmäki, who opened the conference organized by Finland Dialog Association and The Fountain in Helsinki on April 24, said “Encountering ethnic and cultural diversity is no longer the experience of just a few. It has become an everyday reality for many more people worldwide. Interactive skills and conflict resolution must become part of everyone’s civil preparedness. The desire to participate and act only becomes greater through personal involvement.”

This quote summarizes the universality of our need for greater awareness of peaceful coexistence and proves that our differences are a richness of diversity. Hence, this is one of the many reasons why The Fountain is actively engaged in different continents and societies and what we try to reflect in the contents. In the same vein, this issue covers themes that are universally relevant, like What It Means to Be Human, food safety, environment, bad memory, and senior citizens. This issue also offers thought-provoking articles on natural sciences, appreciating the compatibility of the type of food animals consume with their digestion system, the perfect physical make-up of birds, and the very interesting balance in the world that is bound with its rotation. Challenges in the gifted education are also separately discussed.

For those of you in the northern hemisphere, we wish you a good summer, and a reasonable winter for those of you in the south.

The theory of plate tectonics explains what happens at plate boundaries. According to this theory, there are three primary plate boundary conditions; divergent, convergent, and transform boundaries. Divergent plate boundaries are characterized by ocean ridges and sea floor spreading; volcanoes are the most obvious setting. Here, a new crust is generated because the plates pull away from each other. Convergent plate boundaries are characterized by trenches and island arcs. In this setting, the crust is consumed in the Earth’s interior as one of the plates dives under another. In the case of transform plate boundaries, the crust is neither produced nor destroyed, as plates horizontally slide past each other. Significant earthquakes can occur under all of these boundary conditions.

We typically associate Japan with earthquakes because we know that it is a very earthquake prone island. The state of Alaska in the United States is also earthquake prone. The total number of earthquakes in Alaska per year is greater than the total number of earthquakes in the rest of the United States. The examples of Japan and Alaska reveal that more earthquakes occur at locations close to the plate boundaries. On a global scale, Japan, the Philippines, Indonesia, Chile, and western United States, are located along the so-called “Pacific Ring of Fire,” where about 90% of the world’s earthquakes and 80% of the world’s largest earthquakes occur.

The magnitude of an earthquake is a representation of the total amount of energy released by the event. Typically, it is measured using the recorded ground oscillations from a seismogram. However, the interpretation of the magnitude is not straightforward because the magnitude scale is logarithmic. For instance, a magnitude 7.0 earthquake produces approximately 10 times more ground motion and releases about 32 times more energy compared to a magnitude 6.0 earthquake (2).

According to the statistics published by the US Geological Survey, every year on average 134 earthquakes with magnitudes 6.0 to 6.9 occur worldwide, 17 earthquakes with magnitudes 7.0 to 7.9, and at least one large earthquake with a magnitude greater than 8 (Figure 3). Further, the number of earthquakes of magnitude 7.0 or greater has remained fairly constant but the number of moderate earthquakes (i.e., 6.0 or less) appears to be increasing. According to experts at the US Geological Survey, a partial explanation may lie in the fact that there is a tremendous increase in the number of seismograph stations in the world over the last twenty year. Thus, the actual number of earthquakes has not increased, but our ability to detect them. In scientific terms, this is referred to as reporting bias (3). When it comes to myths about earthquake activity related to weather and time, scientists rejects any connection. Earthquakes occur whether it is warm or windy, early in the morning or late at night.

In the United States, earthquakes are one of the most significant natural hazard for around 75 million Americans living in 39 states, including the state of California where the majority of the state’s population lives within 32 km of active faults. Historically, the region has been very active (Figure 4). To help predict earthquakes in California, a multidisciplinary group of scientists and engineers from various disciplines established a team entitled Working Group on California Earthquake Probabilities (WGCEP). The team had a very ambitious objective to develop a comprehensive earthquake rupture forecast model for the state of California using the best available science. The details of the sophisticated model are beyond the scope of this essay, but the recently released report (USGS Open File Report 2007-1437) is available for public access (5). In her essay entitled, “The big one is evitable. Catastrophe is not,” Cathleen Decker, an editor of the Los Angeles Times, refers to the future predictions presented in the report as a “Chilling look into the future” (7). Based on historical evidence and scientific data, it is almost certain (with a 99% chance) that there will be at least one earthquake with magnitude 6.7 or greater in the state of California within the next thirty years. The likelihood of a more significant earthquake (magnitude 7.5 or greater) within the next thirty years in California is 46%. In the Greater Bay Area specifically (area includes large cities such as San Francisco, San Jose, Oakland), the probability of at least one earthquake with magnitude 6.7 or greater within the next thirty years is about 67% (6).

The current state of science considerably reduces the risk of death and damage by making resources available to individuals, teachers, policy makers, and engineers, but unfortunately, science at this time can neither prevent nor predict the exact time when an earthquake will occur. Casualties, financial losses, and mental trauma are sometimes inevitable for earthquake victims. Social and emotional suffering are often not limited to actual victims, but to everyone who has access to the news. Unlike financial and material losses, the psychological consequences of an earthquake exposure are long lasting. To address these consequences, earthquake preparedness should include mental and social aspects of the disaster as well.

Reference

• This dynamic Earth The Story of Plate Tectonics by W. Jasquelyne Kious and Robert I. Tilling (Online edition) U.S. Department of the Interior, U.S. Geological Survey http://pubs.usgs.gov/publications/text/Vigil.html
• USGS Earthquake Hazard Program – Earthquake Facts and Statistics http://earthquake.usgs.gov/earthquakes/eqarchives/year/eqstats.php
• USGS Earthquake Hazard Program – Are Earthquakes Really on the Increase? http://earthquake.usgs.gov/learn/topics/increase_in_earthquakes.php
• California Geological Survey – Probabilistic Seismic Hazards Assessment – Historic Earthquakes http://www.conservation.ca.gov/cgs/rghm/psha/Pages/historic.aspx
• The Uniform California Earthquake Rupture Forecast, Version 2 (UCERF 2) By 2007 Working Group on California Earthquake Probabilities, 2008 http://pubs.usgs.gov/of/2007/1437/
• USGS Earthquake Hazard Program – 2008 Bay Area Earthquake Probabilities http://earthquake.usgs.gov/regional/nca/ucerf/
• Los Angeles Times (January 17, 2010) http://www.latimes.com/news/local/la-me-week17-2010jan17,0,4714976.story

We encountered Judaism at the local synagogue, Hinduism at a Vishnu temple in a nearby city, and Islam at a mosque in the suburbs. We could also have studied Buddhism, Sikhism, and two other branches of Hinduism since there was a meditation society, a Gurdwara, and Shirdi and Jain temples in the city, as well as five additional mosques. Religious pluralism surrounded us, but we knew nothing about it because religious dialogue was not an ordinary activity.

Since taking students on such interfaith field visits was not common practice at the time, it stirred a mix of reactions. Many students approached the project with eager curiosity; they were rainbow optimists, following an arc of hope and expecting good at its end. Other students were reluctant, apprehensive, and afraid of the unknown; they armed themselves with intellectual rocks of protection for their worldview. Some parents even called my office to express their concern about the nature and purpose of such study for their children. Could curiosity weaken their child’s faith, the parents wondered. Even though religious pluralism has been a reality throughout human history, and is certainly an element of our societies today, for many people, then as now, it has remained a distant reality, remote from the routines of daily life. When the opportunity for an interreligious encounter is offered, it can evoke both curiosity and fear. As human beings we are equipped to wonder about and seek the new or unknown, but we are also endowed with a certain caution about, even fear, of what is different. Both of these reactions have characterized the debate about religious dialogue today, often to the irritation of one another, as students have encountered in classes. But both of these approaches have something important to share and should be heard.

Enthusiasts for religious dialogue bring a desire for mutual enrichment and learning, and a confidence that coming to know one another better will bring benefits for all. The rock-wielding cautious fear that interreligious dialogue is a dangerous and misguided endeavor brings a deep sense of what is treasured and unique in our own traditions that must not be lost or sacrificed to the inevitable encounter. In listening to the concerns and hopes raised by both voices, it can become clearer what interreligious dialogue is not and also what it is intended to be; caution and enthusiasm together can shape encounters among various believers that are fruitful and inspirational.

The mirror of dialogue A frequent concern raised about dialogue is that it will be a disguised effort at proselytizing for conversions to one faith or another. This is certainly not the intention of genuine interreligious dialogue, and this approach should not be brought to the table of dialogue. Faithful and committed believers of a religious tradition are asked to respect the faithful believers of other religious traditions who share a similar devotion and joy in their commitments.

The holy Qur’an states, ‘O mankind, indeed We have created you from male and female and made you peoples and tribes that you may know one another.’ (49:13) The Roman Catholic Church also exhorts her members that ‘through dialogue and collaboration with the followers of other religions…they recognize, preserve and promote the good things, spiritual and moral, as well as the socio-cultural values found among them.’ (Nostra Aetate, 2)

Of course, believers engaged in dialogue will explain with great enthusiasm the faith that they hold dear, but the primary goal of interreligious dialogue is simply to listen to and come to know others. Far from converting believers away from their faith, interreligious experiences usually deepen original commitments. It has been suggested that ‘those who know only one, know none.’ In comprehending another faith, we come to a far deeper understanding and appreciation of our own belief. In our reflection in the Other, we come to see ourselves anew.

In my own experience over the years, leading dozens of classes on field visits to various houses of worship, I observe similar outcomes each time. Though the fear of parents that their children might be lured into a conversion by a persuasive speaker would seem to have even more ground today, since students often have very little religious knowledge when entering the classroom, the common response of students is not conversion to a new tradition but rather a renewed interest in the faith traditions of their own families. Even when students have been raised by their parents to make their own choice, as if a faith tradition were simply a matter of consumer preference in the marketplace, I have found that they want to ‘come home.’ If home does not provide much religious substance, to find spiritual roots students are more likely to turn to their grandparents than to convert simply because of exposure to a new tradition.

Not the baking method Sometimes the cautious question if interreligious dialogue is aiming to bring religions together in a way that creates a new and improved religion, a combination of the ‘best of all,’ so to speak. The technical term for this is syncretism, but it is also (derisively) known as the ‘baking method’—take a little of this and a little of that and a little more of something else and bake it into a new tasty religion for all to follow. This approach, too, is certainly not an element of genuine interreligious dialogue but rather is an attitude born in the individualism of consumer culture—finding something that suits my taste. True interreligious dialogue takes places among faithful and committed believers of established religious traditions who intend to remain that way. It is not a casual comparison of recipes, but a sincere effort to know one another as we are.

Again, in my own field visit experience with classes, it is precisely when faced with the devotion of a believing community at worship that students are inspired to look at their own tradition to see what they have missed. The prayer practice of Islam has led students to discover the Angelus and the Liturgy of the Hours in the Catholic tradition, or the practice of daily scripture devotion in other Christian traditions. This is not syncretism, but rather interfaith inspiration that strengthens.

But can we disagree? Two other objections I have heard raised about dialogue seem to be from opposite sides of the same coin. First, some fear that participants from other traditions will judge our beliefs or practices and condemn them unfairly because they are based in a different set of values or cultural apprehension. The second worry is that as we listen to others we may hear some things with which we profoundly disagree but, prevented from expressing this by the ‘etiquette’ of dialogue, be reduced to tacitly supporting relativism. I believe the question raised by both objections is essentially the same—where is Truth to be found and how do we act upon it? Can we truly listen to one another without discovering all the places we disagree? And what then do we do with that disagreement?

In response to these foundational questions, two points must be kept in mind. One is that each of us has the human obligation to sincerely seek for Truth, for the objective reality at the heart of the universe. This will necessarily entail that we must make judgments for ourselves in regard to various Truth claims. However, it is important to be clear that the basic purpose of interreligious dialogue is simply coming to know and understand those varied claims made by religious traditions; we are not expecting to reach agreement on them in regard to religious doctrine or practice.

The second point clarifies this further. In coming to know one another we may find real and significant differences in the lived moral consequences of our beliefs and practices. It is very important to remember that we do not grapple with these differences in interreligious dialogue. Rather, the proper sphere for that work is in political debate. In a multicultural democracy we engage one another in political discussion, convincing one another of the value and efficacy of our moral vision and why it should prevail in law. It is at the table of interreligious dialogue that we come to understand one another, but it is at the table of political discourse that we try to persuade one another, not for a religious conversion to our Truth claims, but for a moral consensus regarding lived values. The conversation at each table is better because of the work of the other.

Wisdom of the heart With these cautions and clarifications in mind, we are better able to hear the enthusiasts in explaining the benefits of dialogue. At center is the inspiration that dialogue can renew our own spirituality. I certainly see this result in the classroom. Most parents have encountered a stage in their adolescent children’s development when they listen to advice with greater openness if it comes from someone other than their parents. Interreligious experience is a similar inspiration, and not just to questioning teens, but to developed believers as well. Hearing others share their deepest convictions about the Divine can renew the vigor of our own quest for holiness. Often in dialogue our hearts meet before our heads agree and we find that it is in the wisdom of the heart that God’s presence is made known. Understanding one another and how very much our traditions hold in common can bring mutual enrichment on local and global levels as well. Citizens in society are better equipped to live in peace and work for justice when they have had interreligious encounters to share and learn about one another. Prejudice is exposed and broken. In the aftermath of the 9/11 tragedy, I received several email messages from former students who expressed their gratitude for the field visits they had made to mosques in earlier years. Having met Muslims as prayerful, welcoming human beings was helping them, at that difficult national moment, to share with others that Islam is not a religion of terrorism and all Muslims were not responsible for, nor rejoiced in, the events of that tragedy. They were able to be voices of peace in the midst of great national confusion.

Sustained encounters When it is possible for interreligious dialogue to become a sustained encounter among individuals or groups, over time it can begin to reshape those who participate in profound and beautiful ways. Though most of my students are only able to have one or two field experiences during their study, I am privileged to be on every trip, returning year after year and building friendships with the generous believers who host our visits. The encounters have gradually ceased to be between ‘us’ and ‘them,’ learning about their ways and teaching them our ways. Instead, as we have continued to listen and share, we find ourselves becoming a ‘we’ in our common humanity, a commonality that honors, and yet also transcends the differences of culture and faith, of geography and economics. I am deeply grateful to my dialogue partners for the depth and strength they have added to my own faith journey.

Religious pluralism is a reality; it surrounds us and permeates the culture. But interreligious dialogue is a choice. Burying our heads in the sand and throwing rocks when we come up for air will not change anyone’s heart, including our own. Instead we can choose to move toward a mind of greater perception, a heart of greater love, a world of greater peace, by accepting the invitation to know one another, carefully and respectfully crossing the arc of dialogue into mutual understanding.

Frances M. Leap is associate professor of religious studies at Seton Hill University in Greensburg, Pennsylvania.

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.

Psychologists have uncovered and grouped intelligence into three main groups: abstract intelligence (the ability to understand and manipulate using verbal and mathematical symbols), concrete intelligence (the ability to understand and manipulate with objects), and social intelligence (the ability to understand and relate to people).¹

Emotional intelligence (EI) has its roots in the concept of “social intelligence,” first identified by E.L. Thorndike in 1920. The influence of this concept on popular culture and the academic community has been rapid and widespread.

As we all know, emotions are a fundamental part of who we are, and play an important part in our relationships with others. They cannot be removed from the picture. However, most of us have traditionally been conditioned “to leave our emotions at home,” believing that in order to be more effective we need to base all our strategies and decisions only upon cold, logical “intelligence.”²

In fact, to do so often guarantees that the suppressed emotions will flare, causing increased conflict and affecting the mood of the individual negatively. But what if we continue to expand our knowledge of emotions in a different way altogether, as another kind of “intelligence,” beyond reason and logic? An intelligence that – if we could learn to access it – could become nothing less than a touchstone to greater collaboration, giving us greater influence with others, motivating us to be more productive and effective.

It could be said that the greatest distance there is is the distance between the mind (IQ) and the heart (EQ). By learning about and utilizing EI, we will be able to shorten that distance, and we will be working with astonishing capacity and effectiveness. Let us address some important questions and issues about Emotional Intelligence.

What Is EI?

When Salovey and Mayer coined the term “emotional intelligence” (EI) in 1990,³ they were aware of the previous work on non-cognitive aspects of intelligence. They described emotional intelligence as “a form of social intelligence that involves the ability to monitor one’s own and others’ emotions, to discriminate among them, and to use the information to guide one’s thinking and actions.”⁴

Esther Orioli and Robert Cooper state the following in explaining EI: “EI is far more than being ‘nice’ to people. It is the ability to sense, understand, and effectively apply the power and acumen of emotions as a source of energy, information, creativity, trust, and connection.”⁵

Another way to describe EI is the ability to sense and use emotions to more effectively manage ourselves and influence positive outcomes in our relationships.

Why Do We Need EI?

Primitive emotional responses of our EI hold the keys to better health, experiencing greater joy and closer connections, achieving stronger leadership, a clearer vision, greater efficacy, higher goals, expanding our personal power, enhancing our self-awareness, augmenting learning, magnifying clarity, ensuring healthier relationships and finer perception, and finally, the provision of greater satisfaction. These emotional reflexes, rarely conscious but powerful, motivate our choices. In short, we need EI for utilizing the power of emotions.

What Are the Competencies of EI?

In Goleman’s model of EI there are five key steps:⁶ self-awareness, self-regulation, self-motivation, empathy, and effective relationships; each includes a set of different competencies. All the competencies to be successful are not necessary, but the two core competencies (emotional self-awareness and accurate self-assessment) are essential. These are the two foundational abilities upon which all others rest (see Chart).

1. Self-Awareness

The cornerstone or foundation of EI is self-awareness. It supports all the other EI skills. Self-awareness must come first because if we do not know ourselves or what we are feeling, how can we possibly know the needs of others or understand someone else and how they feel?

The more we know about ourselves, the better we are able to control and choose what kind of behavior we will display in any given situation. Self-awareness is about knowing where we are now and where we want to go, so that we will be willing to change to get there. Without self-awareness, our emotions can blind us and guide us to do things or to become people we do not want to be.

To become more self-aware, one must follow these steps:

• Learn the difference between thoughts and feelings. It is extremely important to know the difference between “I think” and “I feel” if you are to know yourself better.

• Ask yourself how you are feeling throughout the day and be honest. If your heart races or you blush or if you are short of breath – this is usually a gut reaction. Ask yourself, “What is the feeling behind it?” Name that feeling – fear, anxiety, love, eagerness.

• Be open to input from others. Friends and associates can often enlighten us about our behavior.

2. Self-Regulation

While we are listening and learning from our gut feelings as a step toward self-awareness, self-regulation is regulating those same feelings and managing them so that they do more good than harm. Self-regulation is giving the rational side time to temper our feelings when needed. It also helps us to act intentionally rather than reactively. When we act intentionally, we mean what we say rather. The other side of the coin is to just spout off without thinking and later regret an impulsive act.

Here are some tips to help you with self-regulation:

• Monitor your self-talk (what you say to yourself in your mind).

• Accept responsibility for your emotional responses in your life. When you are feeling that you are accountable, you are acknowledging your own power.

• Anticipate emotional “triggers” and prepare to manage them.

• Reframe an irritating situation into a problem-solving exercise. When you encounter a situation that provokes an undesirable emotional response, decrease your anger by focusing on the behavior. Reframe it to make the behavior the problem, and not the person.

• Use humor!

• Never underestimate the power of taking deep breaths. Increasing the flow of oxygen to the brain eases tension, clarifies thinking and has a relaxing effect on our psyche and body. It also gives you a moment to collect your thoughts and to think before speaking.

• Remove yourself from the situation and keep moving. There are major benefits in distancing yourself from a bad situation and re-directing your energy into a new activity. This will help you regain your perspective, increase your alertness and re-energize.

Unlike Intelligence Quotient, which is fixed for life, Emotional Quotient can be continually developed to enable people to increase their awareness of their selves and others, to develop.

3. Self-Motivation

Self-motivation is directing the power of our emotions toward a purpose that will motivate and inspire us. It is also visualizing the achievement of a goal and taking whatever the necessary steps are to get there. Various ways to bolster your self-motivation are: — Be aware of how you explain setbacks to yourself… stay realistic. Realize that you can control and choose what you are thinking and feeling. Increase your persistence by keeping things in perspective. — Connect your goals with your values to get energized. Keep your eyes on the goal and follow through so you can enjoy the satisfaction of completing whatever projects you’ve begun. — Strive for reaching a —flow— state while working on projects. — Visualize! — Keep learning! The pursuit of knowledge will build on your areas of strength. You will be more valuable and versatile.

4. Empathy

Once we have become more honest and intentional with our emotions, it is time to look outward. EI is both tuning into our feelings and tuning into the feelings of those around us. It means responding to others appropriately, with sensitivity and compassion. Empathy is being able to see a problem from another person’s perspective. It is good to acknowledge other people’s emotions while still remembering that those are their emotions, not ours. Empathy begins with listening. This means making a connection with people. Individuals who lack empathy are more focused on their needs and pay little or no attention to anyone else’s. Empathy is the glue that will bind a group together to work successfully. Some of the techniques for enhancing your empathy are: — Look for nonverbal cues as well as listening for verbal ones. Studies show that words account for only 7% of communication. Tone and the speed of speech accounts for 38% of the message, while 55% is unspoken and revealed through body language, such as posture, eye contact, facial expressions, and so on. — Share and be honest about your feelings. Good communication leads to trust. — Your spoken and unspoken messages should be consistent. You want what you are saying to uphold what you are doing. This proves that you are being honest, or authentic, which builds trust. — Take the kinder road whenever possible. There are many ways to deliver opinions and criticism. You can be honest and still give positive feedback, which increases confidence. Construc-tive feedback increases competence. — Try to see a situation from the other person’s perspective. Empathy is about imagining what it would be like to walk in someone else’s shoes. We ought to assume that everyone is doing the best they can with the resources that they have at the moment.

5. Effective Relationships

Mastering the abilities of self-awareness, self-regulation, self-motivation, and empathy paves the way to attaining greater skill in effective relationships. This competency is about interacting with people successfully and being adept at managing emotions in others. With heightened social skills, leaders are better communicators and better collaborators. Some EI techniques for having more effective relationships at work: — Share your passion and enthusiasm for your job and the organization’s vision — it’s contagious! Keep the vision in view by relating your own excitement for a project or goal. — Create an inspiring work environment. If you show honesty, trust, and appreciation toward your team, you create the perfect environment for them to do their best work. — Engage in creative brainstorming. Not only is brainstorming good for generating fresh ideas, but the process builds rapport and trust among team members. This could smooth the way to future collaborations because of the creative bond that has been formed. — Be willing to coach or mentor others and be open to being coached yourself. This is the most important relationship skill in the workplace. By sharing your knowledge and expertise with other team members, you are nurturing the next generation. And by allowing someone to coach you, you are showing that you are receptive to others’ ideas and that you do not —know it all.— In conclusion, quite simply the EI competencies of intra-personal and inter-personal skills are central to our life and are a different way of being intelligent. They are the tools that our brains use to define ourselves, to shape the meaning of major concepts like love, success, and happiness. EI has been found to be more important than IQ, technical ability, or experience in determining life success. Unlike IQ, which is fixed for life, EQ can be continually developed to enable people to increase their awareness of their selves and others, to develop self-management strategies, and to connect with others to create collaboration and harmony. In practice, EI also enables people to tap into their true power and creativity and to consciously choose the most effective response to any situation rather than merely reacting impulsively.

Footnotes

1. Ruisel, I., Social Intelligence: Conception and Methodological Problems, 34(4-5), 281-296.
2. Emotional Intelligence Workbook, CRM Learning, Carlsbad, 2001.
3. Salovey, P., & Mayer, J. Emotional Intelligence, Imagination, Cognition, and Personality, 1990.
4. Salovey, P., & Mayer, J., The Intelligence of Emotional Intelligence, 1993, 17, 433-442. 5 See http://www.qmetricseq.com/
5. Goleman, D., Emotional Intelligence, Bantam Books, New York, 1995.

The creation of evil is in no way evil, it is the committing of evil that is evil. Man is endowed with free will and God enables man’s willed actions. Therefore, it is man’s willing and committing evil that is evil and ugly, not God’s giving objective existence to evil. If God were not to create what man wills, then human free will would be annulled.

Secondly, none of God’s creations are merely one-dimensional, they pertain to the whole universe; therefore any creation should be evaluated according to its aggregate results, not merely to the act itself. To give an example, the results of rain falling are manifold, almost all being useful to mankind. If some people sustain damage from the rain due to their own miscalculation, it is not possible for them to argue that the creation of rain is not a blessing, nor can they claim that its creation is evil. Perhaps rain seems evil to them due to their personal experience. Similarly, there are numerous benefits for mankind in the creation of fire. If some people are harmed by fire due to their failure to use it appropriately they cannot say that the creation of fire is evil. Fire was not created to burn only their hands; perhaps they brought their hands too close to the fire while cooking and made a thing that normally serves us bring them harm.

As a result, a lesser evil is acceptable for the greater good. If an evil which will lead to a greater good is abandoned so that the lesser evil is eliminated, a greater evil will then have been perpetrated. For example, there is certainly some minor material and physical harm and discomfort in the drafting of soldiers to create an army to defend one’s homeland, but in this there is a greater benefit in that the whole country is saved from invasion. If the defense of a country is abandoned in order to avoid such minor discomforts then the greater benefit will be lost and a greater evil will follow. This is most definitely a mistake. Likewise, to amputate a finger that is gangrenous is good and right, although it is ostensibly evil. Yet, if the finger is not amputated then the entire hand will be lost; this is a greater evil.

Thus, the making and the creation of evil, harm, trouble, devils, and other harmful things is not evil or bad; these have been created in order to obtain many important results. For example, devils are not allowed to pester the angels and the angels can therefore not make any advance. Their ranks, although high, are fixed and can never change. Animals cannot make progress either, for the same reason; they maintain their low rank throughout their lives. On the other hand, for human beings there is no end to the ranks to which they can attain, in both directions, high or low. There are countless levels for humans to progress through, from the ranks of the Nimrods and the Pharaohs to the ranks of the saints and the prophets.

Therefore, in order to differentiate and separate those souls which are like coal in their deficiency from those that are like diamonds in being distinguished, an arena of trial, examination, strife, and competition has been established, using the creation of the devils, and the assigning of prophets, thus making humanity accountable for its actions. Were there no struggle and no competition, the coal-like and diamond-like aptitudes in mankind’s disposition would have remained equal. The soul of Abu Bakr the Veracious, who was the highest of the high, would have remained level with that of Abu Jahl, the lowest of the low. As a result, the creation of the devils and evil is neither evil nor ugly as it pertains to grand and cumulative results. Evil and ugly results that arise from individual acts, and perhaps from miscalculations and abuses, should be attributed to man’s acquisition, not to Divine creation.

The following question may come to mind: The majority of humanity has become disbelievers due to the existence of Satan, and hence suffer harm, despite the fact that prophets have been sent. If we judge the state of affairs according to the situation of the majority we must then conclude that the creation of evil is evil as the majority of people are suffering due its existence. We may even be drawn to the conclusion that the sending of prophets was not a blessing after all. Is this not so?

The first thing to say in answer to this question is, quantity is of no significance; we must look at quality. The true majority lies in those of quality. For example, if there are a hundred date-palm seeds that are planted, but not watered and hence they cannot undergo the necessary chemical transformations and demonstrate the struggle for life, then we only have a hundred seeds that have virtually no value. But if instead these seeds are watered and they then partake in the struggle for life, but still eighty out of the hundred rot due to the imperfections inherent in their nature, with only twenty becoming fruit-bearing trees, can we then claim that “watering the seeds was evil because most of them rotted”? Of course we cannot do so, for those twenty seeds will yield twenty thousand more seeds. Therefore, what has caused a loss of eighty and a profit of twenty thousand is not harmful and cannot be called evil.

To give another example, consider a peahen that lays a hundred eggs, each being worth five dollars. If the hen were to incubate those hundred eggs and eighty were to spoil, that would mean that twenty hatch into adults. Can we say that there was a high loss caused by a harmful process, and that therefore incubating is bad by its very nature? No, on the contrary, it is profitable, for these birds lost eighty eggs, worth five dollars each, but gained twenty peacocks worth eighty dollars.

It is in just this way that mankind, by being raised up by the prophets, and by fighting against Satan and their evil-commanding souls, have lost the animal-like members of their race, the disbelievers and hypocrites, who are greater in number but poorer in quality, in exchange for hundreds of thousands of prophets, millions of saints, and billions of men of wisdom and sincerity, who are the suns, moons, and stars of the human world.

Another question that one might want to ask, is that God Almighty sends catastrophes and inflicts us with trials and tribulations; is this not unfair, particularly toward the innocent, even the animals?

The answer to this question is, the sovereignty is His; therefore He reigns over this creation of His as He wishes. Here is a simple example in order to better understand this statement: Imagine that a skilful craftsman hires you as a model. He has you put on a beautiful garment that he has made and in order to demonstrate his skills on it he starts cutting, trimming, shortening, lengthening it and making you sit down or stand as he wishes. Can you tell him that he is making the garment that looks so beautiful on you appear ugly, or that he is tiring you out by making you move all the time? Of course not, he has hired you. Likewise your Maker, All-Glorious, has you put on this fine looking body of yours, which is ornamented with senses, such as hearing, seeing, speaking, etc., and in order to demonstrate the gilding of His various names, He sometimes makes you ill, hungry, thirsty, worried, or sometimes he satisfies you; your life revolves around different states like these. In order to strengthen the essence of life and display the manifestation of His Names, He makes you journey through numerous such conditions. If you say: “Why do you inflict these calamities on me?”, there are several instances of wisdom that will silence you, as in the above analogy.

Another point is that tranquility, stillness, idleness, and monotony are forms of non-existence, and thus are not good states. Action and constant change on the other hand are signs of existence; therefore these are good states. Life finds its perfection through action and it evolves through tribulations. Life encounters various actions through the manifestations of Divine Names and so it becomes purified and fortified; this is how it evolves, expands and becomes the pen with which the determination of its own fate is written, and so deserves to be rewarded in the afterlife.