Published By: Bingham's Lens

A collection of visual and written ideas produced by the mathematical students of Western New Mexico University while working with adjunct faculty member, Tyler Bingham (Spring Semester 2018).

Purchase"The mistakes and unresolved difficulties of the past in mathematics have always been the opportunities of its future."

-E. T. Bell

"Mathematics is a game played according to certain rules with meaningless marks on paper."

-David Hilbert

"Mathematics is not about numbers, equations, computations, or algorithms: it is about understanding."

- William Paul Thorston

“The most painful thing about mathematics is how far away you are from being able to use it after you have learned it.”

- James Newman

"Mathematics is the language with which God wrote the universe."

-Galileo

“A Man is like a fraction whose numerator is what he is and whose denominator is what he thinks of himself. The larger the denominator, the smaller the fraction.”

-Tolstoy

"Negative thinking patterns can be immensely deceptive and persuasive, and change is rarely easy. But with patience and persistence, I believe that nearly all individuals suffering from depression can improve and experience a sense of joy and self-esteem once again."

-David D. Burns

"The most painful thing about mathematics is how far away you are from being able to use it after you have learned it."

-James Newman

“There are only patterns, patterns on top of patterns, patterns that affect other patterns. Patterns hidden by patterns. Patterns within patterns. If you watch close, history does nothing but repeat itself.
What we call chaos is just patterns we haven't recognized. What we call random is just patterns we can't decipher. what we can't understand we call nonsense. What we can't read we call gibberish.
There is no free will. There are no variables.”

-Chuck Palahniuk

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"Sometimes the questions are complicated and the answers are simple"

-Dr Seuss

"There are only patterns, patterns on top of patterns, patterns that affect other patterns. Patterns hidden by patterns. Patterns within patterns.
If you watch close, history does nothing but repeat itself.
What we call chaos is just patterns we haven't recognized. What we call random is just patterns we can't decipher. what we can't understand we call nonsense. What we can't read we call gibberish.
There is no free will.
There are no variables."

-Chuck Palahniuk

"Math may not teach me how to add love or subtract hate, but it gives me every reason to hope that every problem has a solution."

-Unknown

"You do not study mathematics because it helps you build a bridge. You study mathematics because it is the poetry of the universe. Its beauty transcends mere things."

-Johnathan David Farley; Orono, Me.

“No matter how correct a mathematical theorem may appear to be, one ought never to be satisfied that there was not something imperfect about it until it also gives the impression of being beautiful”

-George Boole

“Patterns are implicit and explicit in two of the most familiar and sometimes most mysterious human endeavors: mathematics and poetry.”

-Marcia Birken and Anne C. Coon

"I must study politics and war that my sons may have liberty to study mathematics and philosophy."

-John Adams

"Pure mathematics is, in its way, the poetry of logical ideas."

-Albert Einstein

"A great deal of creativity is about pattern recognition, and what you need to discern patterns is tons of data. Your mind collects that data by taking note of random details and anomalies easily seen every day: quirks and changes that, eventually, add up to insights."

-Margaret Heffernan

"Mathematics as an expression of the human mind reflects the active will, the contemplative reason, and the desire for aesthetic perfection. Its basic elements are logic and intuition, analysis and construction, generality and individuality"

-Richard Courant

"Pure mathematics is, in its way, the poetry of logical ideas."

-Albert Einstein

I AM about to appear very inconsistent. In previous sections I have said that all figures in Flatland present the appearance of a straight line; and it was added or implied, that it is consequently impossible to distinguish by the visual organ between individuals of different classes: yet now I am about to explain to my Spaceland critics how we are able to recognize one another by the sense of sight.

If however the Reader will take the trouble to refer to the passage in which Recognition by Feeling is stated to be universal, he will find this qualification - "among the lower classes." It is only among the higher classes and in our temperate climates that Sight Recognition is practised.

That this power exists in any regions and for any classes is the result of Fog; which prevails during the greater part of the year in all parts save the torrid zones. That which is with you in Spaceland an unmixed evil, blotting out the landscape, depressing the spirits, and enfeebling the health, is by us recognized as a blessing scarcely inferior to air itself, and as the Nurse of arts and Parent of sciences. But let me explain my meaning, without further eulogies on this beneficent Element.

If Fog were non-existent, all lines would appear equally and indistinguishably clear; and this is actually the case in those unhappy countries in which the atmosphere is perfectly dry and. transparent. But wherever there is a rich supply of Fog objects that are at a distance, say of three feet, are appreciably dimmer than those at a distance of two feet eleven inches; and the result is that by careful and constant experimental observation of comparative dimness and clearness, we are enabled to infer with great exactness the configuration of the object observed.

An instance will do more than a volume of generalities to make my meaning clear.

Suppose I see two individuals approaching whose rank I wish to ascertain. They are, we will suppose, a Merchant and a Physician, or in other words, an Equilateral Triangle and a Pentagon: how am I to distinguish them?

By: Edwin A. Abbott - Exercept from, "Flatland - A Romance of Many Dimensions"