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

-Stefan Banach

"Math is like going to the gym for your brain. It sharpens your mind."

-Danica McKellar

"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

"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

"The definition of a good mathemtical problem is the mathematics it generates rather than the problem iteself."

-Andrew Wiles

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

-William Paul Thurston

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

-Stan Gudder

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

-Danica McKellar

"Mathematics has beauty and romance. It’s not a boring place to be, the mathematical world. It’s an extraordinary place; it’s worth spending time there."

-Marcus du Sautoy

"Math is like going to the gym for your brain. It sharpens your mind."

-Danica McKellar

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"