Hizmet is a group of people that I have observed carry out the best of
Islamic ideals: kindness, hospitality, love, selfless service. They are
mainstream in their creed, as far as the Sunni Islamic school of thought
goes. They read the Qur’an; they pray five times a day; they fast. They’re
very spiritual people. They don’t push their beliefs, their Islamic
beliefs, on non-Muslims. That’s not what they’re out to do. They’re out to
serve the world, Muslim and non-Muslim alike. So in terms of being an
“un-Islamic cult,” Hizmet is anything but. What they really are, in my
opinion, is a true embodiment of the Islamic ideals of love and service to
the other. And I’ve never seen anything to suggest otherwise.

I’m a civil rights activist, a human rights activist; I don’t take my
marching orders from demagogues whether they are domestic or foreign,
whether they are elected or dictators. What I look at is the process, and
what troubles me in today’s Turkey is the process. Due process is the
arbiter between those who accuse and those who defend. It’s absent in
contemporary Turkey. And there has to be independent judiciary; it has to
be judges and a court that is not in anybody’s corner. What we’re seeing in
Turkey, unfortunately, is a situation where government is essentially run
by one party that acts as both the accuser/the prosecutor, the judge and
the executioner. And those who are accused don’t really have any leeway in
the system to defend themselves.

Those who know Hizmet, who have interacted with Hizmet, know Hizmet is the
farthest thing from violence. They’ve never promoted violence; they’ve
never accepted violence; they’ve been the first to condemn violence,
including a violent overtake of a Republic, a coup. They’ve condemned this
coup, and they’ve never promoted anything close to it. They’ve never been
involved in anything that is violent in nature.

Now that the accusation is there, we have to ask for proof. And, even if
there are individuals who may be associated with the Hizmet who were
involved in one crime or another, including a coup, the question becomes:
at what point do you incriminate an entire movement of millions of people,
volunteers who want to serve humanity through their Islamic ideals? Can we
condemn a teacher, a 24-year-old woman serving in some remote part of
Turkey, Pakistan, or Kazakhstan, or anywhere in the world where they build
schools in areas of underserved, underprivileged communities? How are these
souls devoted to service affiliated or associated with that particular
crime?

What you look at here is a witch hunt; it is “guilt by association.” These
are not in the tradition of liberal justice, liberal values that
democracies espouse.

And it’s exactly what is happening around the world when people in power
want to shut out those who are not in their pockets, those they can’t
control, or those whom they don’t like.

When a government is moving towards autocracy, when you’re becoming a
demagogue, when you become the “state” (l’état, c’est moi) and
when you shut out opposition, shut down media, imprison journalists, and
declare organizations, schools, mosques, or associations or universities or
charities, as terrorist organizations just by a signature, then I have to
say, that is incorrect, and that is problematic, and that is unjust!

And I’ll raise my voice, as a Muslim, as a human being, but also as a civil
rights and human rights activist, because civil rights and human rights are
not piecemeal. They cannot be divided; they cannot be allocated to one
group and then denied to another. I believe that ideals are only good and
are only meaningful if they apply to all human beings. It’s a belief in
blind due process, a blind independent judiciary, and having the procedures
and the processes of justice apply everywhere, equally, to all people.

When I read the news that [Hizmet] schools were being shut down in
Pakistan, it hurt, because Pakistan is in need of good schools, it’s in
need of education. We hear about radicalization, we hear about illiteracy,
we hear about the lack of education in parts of the country – same in the
United States, same in the world. And anyone who is putting themselves into
service to build schools and educate young people is doing good in the
world. As someone who built an organization, I understand how much effort
this takes. I understand every wall that is painted, every nail that is
hammered into that wall, every computer that is bought and connected, every
chair and every table, and then all of the content that comes along with a
good education. It takes so much to build a single classroom, let alone a
whole organization. And here you have a school of many classrooms, and then
you have a movement of many schools. One signature, for political pressure
or for personal gain, shuts it all down.

It’s so hard to build. It’s so easy to destroy. And we, Muslim-Americans
and people of conscience, have to raise our voices and say, “We don’t stand
for that!”

Ahmed Rehab, CAIR (Council on American-Islamic Relations), Chicago

This article has first been published in the special issue of the Fountain Magazine © Blue Dome Press

The door to room 153 opened and a blond-haired, blue-eyed boy walked out alone. His eyes went immediately to the spot where he knew she would be waiting. “Mommy!” he squealed, and a smile brighter than sunshine burst across his young face. His lanky legs kicked out at a slightly odd angle as he ran towards the one person he had been waiting to see since 8:30 am that morning.

As he got near, he shed his backpack. As Mom welcomed him into her arms, the hug nearly knocked her over. “I missed you, Mommy!”

This is how you will find me at 2:30 pm every school day of the year. My name is Kimberly Parker. I am a mother of three children. My oldest son, Cooper, has autism.

When Cooper was born, I ended my career as a Sales & Marketing Director to remain home with him. I embraced this plan, as it allowed me freedom to not only spend oodles of time with our son, but also gave me time to work on creative projects, particularly writing, that I had abandoned in my climb up the corporate pyramid.

When Cooper was 16 months old, we realized he had significantly stunted language development. Specialists were seen, and we soon knew that the challenges we faced had a name: autism.

Fast forward 5+ years. Our family now consists of Cooper, age 8; Benjamin, age 6; and Kacey, age 4. My husband and I have worked hard to keep our heads above water while meeting our family’s needs, and our extended family and friends help us tremendously.

Even with all of the help, I know my son better than anyone else on this planet knows him. I say this not to sound prideful – it is a matter of fact. My husband is a wonderful father, however, since I am the person who is with Cooper the most, out of sheer desperation I have had to learn to understand my son by merely looking into his eyes. His language processing challenges make it difficult for him to understand things in the way typically developing children do.

Most parents of children with autism are in a similar position. They are the experts in dealing with their children. Because our day-to-day functioning depends upon it, we parents have to learn how to build relationships with our children. These relationships serve as the foundation for everything else that happens.

The problem is that the thousands of children who have autism will, one day, grow to be adults with autism.

I’d be a liar if I said that the question, “What will happen to my son when I die?” does not at times keep me awake at night. Does anyone know him better than I? Is anyone in a deeper relationship with him? Does anyone love him more than my husband and I do? When the loving, knowledgeable caregivers of these children pass away (which inevitably will happen), is our society prepared to care for people who are unable to fully care for themselves? It isn’t right now, but it can be.

Never mind 72 hours, 72 years would probably not be enough to fully prepare my son to face the world without the mother to whom he is attached. However, I believe that in 72 hours, I can ignite a fire that can help prepare the world for my son.

Many schools have begun to implement programs to teach kids about the various disorders and disabilities which are increasing in alarming numbers. Each school year Cooper’s classmates learn, to some degree, how to function in the classroom with a peer who has special needs. At the beginning of the year, teachers talk to his peers about autism. Kids learn that Cooper has challenges, and they are told that they must be accepting and helpful friends to him.

This is a good beginning. But it is only a beginning.

Is it enough to teach them how to co-exist in a world with people who think differently, who communicate differently, and who have extraordinary needs?

I don’t believe so.

Kids don’t simply need to learn how to tolerate one another – they must to learn how to build relationships with one another. Those who are different do not need to be merely acknowledged as different – they need people to come alongside them, people who will seek to understand the depths of their individuality.

When a child with autism is alone on the playground – it isn’t enough that other kids refrain from bullying him. Can even one child dare to come close and seek to engage him? And when that doesn’t work, will the child be content to sit near him and just share the same breathing space – because he or she understands that for a person with autism, simply having someone nearby can be enough to foster feelings of acceptance?

My vision is to see a system implemented in our schools in which children learn how to be intentional about building better relationships. We can empower and equip kids to care for their peers in a way that goes way beyond tolerance. No matter what their age, kids can learn skills at a level they can understand. Intentionally building upon these skills throughout their education will not only build a better world for kids with autism – it will build a better world for everyone.

There are experts who have dedicated their lives to helping autistic children and their parents learn to build relationships with each other. There are others who have developed peer-to-peer training sessions for school use. I believe we can take the knowledge from these experts, combine them into a complete program, and teach these skills in our schools so that parents are not the only ones who hold the key to their child’s relationships.

In my 72 hours, if given the resources, I would engage three experts: Dr. Steve Gutstein (Relationship Development Intervention specialist for children with autism), Dr. Gordon Neufeld (expert in attachment and anti-bullying) and Heather McCracken (founder of Friend 2 Friend Learning Society). They have each developed materials that address different components of this problem. However, if these experts came together, I believe a complete, life-changing strategy could be designed and presented to educators.

In 72 hours, I would seek for the four of us to spend a day brainstorming what this plan could entail, and then gather as many educators as possible to cast a vision and ignite a fire: from parents and teachers to University Education Department Heads to U.S. State Educators to the Canadian Minister of Education and all the way to the U.S. Secretary of Education. This fire would move them to action to see a new type of preparation brought into schools. Not for the sake of another program or something “to-do,” but for the sake of building a society of people who know how to love selflessly, to prepare them for life together.

With myself as the parent-champion, my son at my side, and Dr. Gutstein, Dr. Neufeld and Mrs. McCracken to speak about the psychological benefits and technical aspects, we could introduce them to a new way to do “tolerance” in the form of attachment and relationship building in peers.

Imagine…

The 72-hour period was filled with a whirlwind of activity. Along with the field experts, Mom and son spoke powerfully to hundreds of people, presenting a radical vision. They shed light on the magnitude of the problem that autistic children and adults everywhere encounter. They also began an awakening of the need to prepare for a world to come. They saw faces light up with passion and high-level educators commit to not letting the dream of a selfless society fade.

As Mom hugged her son for what she knew would be the last time, her heart was not heavy – it was full of hope. Surrounding them were hundreds of outstretched arms which she knew would take her place in helping this little boy for the rest of his life. And as she said her final “I love you,” she knew that her life had been well-lived.

In 2004, Kim’s son was diagnosed with autism spectrum disorder. She writes to equip others to better understand autism and the families who love the autistic. She enjoys connecting with parents facing the seemingly insurmountable challenges of autism and helping them find joy. She is also a Christian author and speaker. Her first published book is called Radical Love…Forever Changed. You can follow Kim’s blog or connect with her at www.SimplyCreativeWriting.com.

Educators who see the beauty at the center of mathematics and can make their students see it that way, are more likely to be able to get their students’ attention and teach them more effectively. Also, as well as facilitating the study of sophisticated mathematics, this puts mathematics in its proper place so as better to understand the value of what it has to say to human beings. To see the beauty and the pleasure in mathematics can change the negative attitudes of some students and help educators in teaching mathematics.

Often it seems that we pursue mathematics education from either a structural or an applications point of view. From a structural point of view, we insist on building up all of the tools one may need in a sequential, logical order, because an educator will need the students to know all of the smaller pieces before they can build any of the larger ideas. An analogy for this would be if we forced somebody to study all of the nails, screws, bolts, and tools to build a house before we let them even see the plans for the house. This is one of the main reasons that most people who study mathematics in their school years think that it is a pointless exercise in playing with formulas and has no significance in real life. For these people, mathematics might be helpful only in keeping track of their checkbooks after graduation. Some students think that they can calculate whatever they need using computers, but sometimes this is not very effective because students may not understand the logic behind the problems and the results do not mean anything to them or they are unable to detect errors.

The applications point of view leads to making up “word problems” that appear to be about the real world, but everyone knows that they are highly artificial. It also leads to focusing at higher levels on only the applications. Hence, for instance, in calculus we spend a lot of time plodding through various physical applications, without letting students see the bigger picture. Or we spend time in liberal arts mathematics talking about things such as modeling and linear programming, which yield great applications, but are generally tedious and do not give most students much appreciation for mathematics. If we see the beauty at the center of mathematics, as well as introducing ideas that may have application or may build some tools, we can bring students to have a much bigger picture of mathematics at a much earlier stage in their mathematical development.

Educators can include some fun topics in courses that they teach. For instance, they can encourage students to discover the amazing number patterns in nature, such as the Fibonacci sequence in pine cone spirals, pineapples, and cauliflowers, in which the number of pieces increases in the following manner: 0, 1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89 … (add the last two numbers to get the next). Another example is the “golden ratio.” In mathematics and the arts, two quantities are in the golden ratio if the ratio between the sum of those quantities and the larger one is the same as the ratio between the larger one and the smaller. The golden ratio is a mathematical constant, approximately equal to 1.6180339887 and recent research shows that people think that the shapes and figures in this ratio are more interesting and aesthetically pleasing to the human eye.

Sometimes, even a small algebra trick can miraculously bring students to love mathematics and be more focused, and then more interested in the deeper aspects later on. Take a look at this symmetry:

1 x 1 = 1

11 x 11 = 121

111 x 111 = 12321

1111 x 1111 = 1234321

11111 x 11111 = 123454321

111111 x 111111 = 12345654321

1111111 x 1111111 = 1234567654321

11111111 x 11111111 = 123456787654321

111111111 x 111111111 = 12345678987654321.

Here are a few more examples showing the beauty of mathematics visually with numbers:

1 x 9 + 2 = 11

12 x 9 + 3 = 111

123 x 9 + 4 = 1111

1234 x 9 + 5 = 11111

12345 x 9 + 6 = 111111

123456 x 9 + 7 = 1111111

1234567 x 9 + 8 = 11111111

12345678 x 9 + 9 = 111111111

123456789 x 9 +10 = 1111111111

9 x 9 + 7 = 88

98 x 9 + 6 = 888

987 x 9 + 5 = 8888

9876 x 9 + 4 = 88888

98765 x 9 + 3 = 888888

987654 x 9 + 2 = 8888888

9876543 x 9 + 1 = 88888888

98765432 x 9 + 0 = 888888888.

Students’ minds can be broadened by seeing the surprising differences that arise when we move to non-Euclidean geometry. Fractal shape examples in nature, such as snow crystals, and things like the Mandelbrot set, which is a set of points in the complex plane the boundary of which forms a fractal, can be introduced with a background and give rise to amazingly beautiful images and ideas. Even such deep and thought-provoking ideas as these can be understood by students when they have curiosity, creativity, and an open mind.

All these examples and others like them can inspire people to see the beauty of mathematics and give them a better understanding and a sense of the expanse of mathematics. With a little more discovery of and exposure to the more beautiful aspects of mathematics, students are much less likely to feel any hatred for mathematics and may develop a much greater appreciation for the creation of the universe.

Ali Kemal Unver is a postdoctoral scholar at the University of California, Los Angeles.

Note

* The golden ratio can be derived by the quadratic formula, by starting with the first number as 1, then solving for the 2nd number x, where the ratio [x+1]/x = x/1 or (multiplying by x) yields: x+1 = x2, or a quadratic equation: x2-x-1=0. Then, by the quadratic formula, for positive x = [-b + sqrt(b2-4ac)]/2a with a=1, b=-1, c=-1, the solution for x is: [-(-1) + sqrt([-1]2 -4*1*-1)]/2*1 or [1 + sqrt(5) ]/2. See the second reference for details.

References

1. http://users.forthnet.gr/ath/kimon/
2. Green, Thomas M. “The Pentagram and the Golden Ratio.” http://www.contracosta.cc.ca.us/math/pentagrm.htm.

In this article I address four questions regarding the importance of mathematics in our lives:

1. Why is mathematical thinking significant to comprehend the universe and how it runs?

2. What are the problems in the new millennium and what solutions to these problems are expected from scientists?

3. How important a role does mathematics play in today’s world?

4. What is the relationship between defense industry and space research

In contemporary scientific research methodology, mathematics is the most objective tool which can be used to draw a general conclusion from outcomes obtained. Mathematics is considered to be an expression of the knowledge of the All-Knowing. This characteristic of mathematics recognized by Muslim scholars in the Middle Ages was emphasized by well known scholars such as Ghazali, Al-Biruni, Nasiruddin Tusi, Al-Hujandi, and Al-Khwarizmi. Following in the path of Muslim scholars and being considered one of the pioneers of modern science, Galileo stated in his second book published in 1623, Il Saggiatore, that “it is impossible to understand the universe without learning the real logic of the universe and decoding its characters. The universe was created in mathematical logic and it is impossible for us as human beings to comprehend its words without mathematics.” Galileo’s statement points towards an important truth-that even though it is possible partially to explain the intricate perfection in the universe through the mathematics that has been developed so far, we are not skilled enough to produce or comprehend any mathematical systems or formulas that can express the whole universe despite the complexity of occurrences that go on in the universe.

In the history of science, the structure and the mechanism of the universe have been explained to some extent using mathematics. Physicists have developed equations to demonstrate the structure of matter and forces in nature. An engineer who designs an artificial heart considers the equation that governs the bloodstream in a vein. An astronaut at NASA utilizes equations that describe the motion of satellites or the orbit of a spacecraft. In our contemporary world, the crucial role of mathematics is the main reason why Landon Clay, a millionaire philanthropist and the founder of the Clay Mathematics Institute, came up with a list of seven “millennium problems” and promised seven million dollars to the first person who found the solution to each of them. They have not yet been solved.

Many of us remember traditional mathematics classes as boring because they were not apparently related to real life. Only once symbols and equations become meaningful and solutions are found, does mathematics become pleasurable. Despite the stress endured, true success is hidden in the process of writing the correct equation. An equation developed to solve a specific mathematics problem becomes an invention when it is practically used in life, for example, to build a spacecraft or design a medical device.

However; in order to make an invention, the correct equation for that invention needs to be developed, or a pre-developed equation that works for the invention needs to be determined. The next step is to solve it. Even if the solution to an equation cannot be found, an approximate solution can always be discovered and used to build an invention.

The equations for two of the millennium problems come from physics. One of the problems involves finding a general solution to the Navier-Stokes equations governing fluid dynamics. These equations were first formulated in the 1820s to describe the motion of fluids and gasses. Examples include the flow of water around a boat, air over the wings of a plane, and blood pumped from the heart to the vessels. At first glance, the Navier-Stokes equations resemble equations taught at the undergraduate level in the fields of science and engineering. However, the way they look is deceptive because no one has ever come close to finding the general solution to these equations. Even though a general solution to these equations does not yet exist, the Navier-Stokes equations do help one comprehend the aforementioned problem. Therefore, they do not help naval architects to construct better marine vehicles, aerospace engineers to build better aircrafts and spacecrafts or biomedical engineers to build artificial organs.

Another millennium problem involves finding a solution to the set of equations formulated by Chen-Ning Yang and Robert Mills in 1954 that describe the fundamental forces of nature. This set of equations reveals the description of the raw material out of which everything in the universe has been created. None of these equations have been solved so far. Physicists have gained accurate results and made calculations tested in laboratories based on Yang-Mills equations that could be solved by using computers as in Navier-Stoke equations. Even though these kinds of equations provide physicists with almost all the necessary information, no one has ever been able to solve the Yang-Mills equations by known methods. What is important is not to solve equations; it is to figure out what the solution means instead. Using numbers and making calculations based upon these equations remain secondary despite their importance.

As a result of positivist and materialist approaches to knowledge and science, most people today are interested in science and technology for the sake of their own material wealth and comfort. If this degrading approach continues, worldwide degeneration cannot be prevented. However, mathematics is a universal language generated by mathematical thinking. This type of thinking is one of the qualities of the “inheritors of the earth.” In The Statue of Our Souls (2005), M. Fethullah Gulen says,

In the past the people in Central Asia and later on in the West achieved their renaissances by means of the laws of mathematical thinking. Man discovered and brought to light many uncertain and unknown things in the mysterious world of numbers. Without going to the extremes of the Hurufis,^[1] what we say is that without mathematics it is not possible to understand the relations of humanity and natural phenomena with one another. It illuminates our roads like light on the line that stretches from the universe to life; it indicates to us what is beyond the human horizon, even the depths of the world of contingencies, which is very difficult to think upon; and it makes us meet with our ideals.

On the other hand, being mathematical does not mean knowing everything related to mathematics. It is to think mathematically, to think within mathematical laws, and to be aware that it permeates everything from man’s thoughts to the depths of existence, from physics to metaphysics, from matter to energy; from body to soul, from law to Sufism. In order to comprehend existence completely, we have to accept a dual method of Sufi thinking and scientific research. The West essentially lacks essence, and has tried to compensate for this loss, as far as it can, by taking refuge in mysticism. In our world, which has been always intimate with the soul of Islam, there is no need to look for anything strange or foreign, or to take refuge in anything. We have all our sources of power within our system of thought and faith. That suffices as long as we comprehend that source and spirit with its original richness. Then we will see some of the mysterious relations in existence, how harmoniously such relations run, and reach a different knowledge of observing and taking pleasure in everything.

In short, being mathematical is necessary to describe the universe we live in and the principles of how it runs. This tool will be considered triumphant in as much as it can remove blockages from the individual’s eyes and exhibit the truth. Only if scientists who have attained the harmony of heart and mind penetrate into the secrets of existence, utilizing science and its fruits for the benefit of humanity, will justice be done to their profession.

WHY OPTICAL?

Despite the many benefits that classical computers (‘classical’ here means computers in which the signals are carried electrically) have brought to our lives, they have some limitations which prevent any improvement in the speed or volume of signals carried. These limitations are inherent to the way these computers work.

For example, classic electric circuits carry information units serially, one by one, and there are some lower limits beyond which such circuits cannot be built-below that limit they simply cannot process the information reliably. Another handicap is that electrons floating in circuits can interfere with each other-and this interference, incidentally, is one reason why engineers cannot produce smaller circuits. By contrast, photons, light particles, which are the main signal or information carrying agent simply do not interact with each other because they do not carry a charge.

An optical computer could be run faster than one running electrons, theoretically at the speed of light, along optical fibres which are specifically designed guide-wires to transfer light-photons in and out between chips in an optical computer without distortion.

One of the main advantages of optical computers is their capability of processing more than one piece of information at the same moment. That means multi-beams can be processed in one chip. This would allow engineers to use parallel processing which greatly enhances the speed of the computer.

THE DIFFICULTIES

Lasers would, naturally, be the source of light in this new generation of computers. Scientists and engineers all over the world are trying to build appropriately tiny lasers emitting precise frequencies of infrared light. But they face a number of practical hurdles. One has to do with making lasers of appropriate size and efficiency. Current technology does not have the means to build optical chips comparable in size to ‘classical’ ones. The efficiency of the lasers is not high enough for the specifications required. Most of the energy to run these lasers escapes as heat and is not used. Since one or at most two percent of this energy can be transformed into the useful form of light, the rest can generate a lot of heat which is dangerous to the condition of the chips.

Making the right lasers is not the only problem on the way to fully optical computers. Switches are at the heart of optical computers, but as photons do not interact with each other, there are substaintial difficulties in building switches.

SOME PROPOSED SOLUTIONS

One solution to this problem is to build computers which are part electrical, part optical. Many scientists now believe that the most viable use for optical technology is in this type of hybrid system combining optics and electronics. Researchers are now focusing their work on optical interconnections between chips, which could be a reality in as little as one or two years. This type of connection can vastly increase the amount of data moving in and out of chips.

Such a machine would have to contain prisms, mirrors, and lasers to channel the light, as well as gallium arsenide chips that convert pulses of laser light into electrons so as to function as switches. If all this does happen, there will be a need for new computer architectures, that is, new computer structures.

However, there are some scientists following a different route. They are trying to find ways to use current transistor technology so as to detect laser beams in the information processing. NPN type transistors without a metal cover would be appropriate because they are faster. This approach also allows for adaptation of existing designs, with all the advantages in time and savings that brings.

FUTURE

The first optical processor developed at AT&T Bell Labs measured about two feet by two feet. Scientists hope some day to fit it all into three square inches. A fully optical computer is more than five years away.

Scientists have set themselves a target for the year 2000: 1,000 I/O (input and output) channels running at 1 giga-bit/sec. That is a thousand times faster than current modern computers.

It is a pity that we must wait for a decade, while scientists and engineers try to accomplish this difficult task. But what an exciting wait!

•  FURTHER READING
• ‘Bright future’, Scientific American, May 1990.
• ‘Now easier optical’, Electronics, May 1990.
• ‘Slacken lights up’, Scientific American, July 1991.
• ‘Optical computer no longer lighters away’, Byte, April 1992.
• ‘Optical computing sheds ‘blue sky’ image’ Electronics, April 1990.