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

-Albert Einstein

"Mathematics may be defined as the subject in which we never know what we are talking about, nor whether what we are saying is true."

-Bertrand Russell

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

-Albert Einstein

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

-Shakuntala Devi

"The essence of math is not to make simple things complicated, but to make complicated things simple."

-Stan Gudder

"The science of mathematics presents the most brilliant example of how pure reason may successfully enlarge its domain without the aid of experience."

-Immanuel Kant

"Today's scientists have substituted mathematics for experiments, and they wander off through equation after equation, and eventually build a structure which has no relation to reality."

-Nikola Tesla

"Mathematics is the supreme judge ; from its decisions there is no appeal."

-Tobias Dantzig

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

-Anonymous

"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

"In a way, mathematics is the only infinite human activity. It is conceivable that humanity could eventually learn everything in physics or biology. But humanity certainly won’t ever be able to find out everything in mathematics, because the subject is infinite. Numbers themselves are infinite. That’s why mathematics is really my only interest."

-Paul Erdős

"A mathematician who is not also something of a poet will never be a complete mathematician."

-Karl Weierstrass

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

-Albert Einstein

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

-Albert Einstein

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

-Bertrand Russell

"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"