“Mathematics is only the art of saying the same thing in different words."

-Bertrand Russell

"Mathematics is not the rigid and rigidity-producing schema that the layman thinks it is; rather, in it we find ourselves at that meeting point of constraint and freedom that is the very essence of human nature."

"-Hermann Weyl

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

-Albert Einstein

"Mathematics is the queen of science, and arithmetic the queen of mathematics."

-Carl Friedrich Gauss

"In mathematics, you don't understand things. You just get used to them."

"-John von Neumann

"Mathematics is only the art of saying the same thing in different words."

-Bertrand Russell

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

-Albert Einstein

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

-Albert Einstein

"What is mathematics? It is only a systematic effort of solving puzzles posed by nature."

-Shakuntala Devi

"Somehow it’s okay for people to chuckle about not being good at math. Yet, if I said “I never learned to read,” they’d say I was an illiterate dolt.

-Neil deGrasse Tyson,

"Mathematics consist of proving the most obvious things in the least obvious way.”

-George Polya

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

-Stefan Banach

"Without mathematics, there’s nothing you can do. Everything around you is mathematics. Everything around you is numbers."

-Shakuntala Devi

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

-Anonymous

"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

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

-William Paul Thurston

"Life is a math equation. In order to gain the most, you have to know how to convert negatives into positives.”

-Anonymous

"In mathematics the art of proposing a question must be held of higher value than solving it."

-Georg Cantor

"It is not of the essence of mathematics to be conversant with the ideas of number and quantity."

-George Boole

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"