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

-William Paul Thurston

"I hope that the excitement of solving this problem will make mathematicians realize that there are lots and lots of other problems in mathematics which are going to be just as challenging in the future."

-Andrew Wiles

"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

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

-Shakuntala Devi

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

-Albert Einstein

"Math is the only place where truth and beauty mean the same thing."

-Danica McKellar

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

-Albert Einstein

"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

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

-Shakuntala Devi

"Mathematics is, in its own 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

"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

"We especially need imagination in science. It is not all mathematics, nor all logic, but it is somewhat beauty and poetry."

-Maria Mitchell

"Mathematics is not a careful march down a well-cleared highway, but a journey into a strange wilderness, where the explorers often get lost. Rigor should be a signal to the historians that the maps have been made, and the real explorers have gone elsewhere."

-W.S. Anglin

"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

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

-Albert Einstein

"Mathematics is not about numbers, equations, computations, or algorithm's: it is about understanding."

-William Paul Thurston

"Mathematics is a more powerful instrument of knowledge than any other that has been bequeathed to us by human agency."

-Rene Descartes

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"