"As far as the laws of mathematics refer to reality, they are not certain, and as far as they are certain, they do not refer to reality."

-Albert Einstein

"Truth is ever be found in the simplicity, and not in the multiplicity and confusion of things."

-Isaac Newton.

"If you stop at general math, you're only going to make general math money."

-Snoop Dogg

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

-William Paul Thurston

"A mathematician may say anything he pleases, but a physicist must be at least partially sane."

—Willard Gibbs

“Do not worry about your difficulties in mathematics. I can assure you mine are still greater.”

-Albert Einstein

“Sometimes the questions are complicated and the answers are simple.”

-Dr. Seuss

"Many important spatial patterns of Nature are either irregular or fragmented to such an extreme degree that … classical geometry … is hardly of any help in describing their form. … I hope to show that it is possible in many cases to remedy this absence of geometric representation by using a family of shapes I propose to call fractals—or fractal sets."

—Benoit Mandelbrot

"Mathematics expresses values that reflect the cosmos, including orderliness, balance, harmony, logic, and abstract beauty."

—Deepak Chopra

"It is better to solve the problem five different ways than to solve five problems one way."

-George Po’lya

"Mathematics is the most beautiful and most powerful creation of the human spirit."

-Stefan Banach

“Mathematics expresses values that reflect the cosmos, including orderliness, balance, harmony, logic, and abstract beauty."

-Deepak Chopra

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"