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Mathematics

It is the perennial youthfulness of mathematics itself which marks it off with a disconcerting immortality from the other sciences

Eric Temple Bell (1883-1960)

Math is like love -- a simple idea but it can get complicated.

Matematik är som kärlek - en enkel idé, men det kan bli komplicerat.

Mathematics allows for no hypocrisy and no vagueness.

Stendhal (1783-1842)

Mathematics is the science which uses easy words for hard ideas

Round numbers are always false

Samuel Johnson (1709-1784)

The actual infinite arises in three contexts: first when it is realized in the most complete form, in a fully independent otherworldly being, in Deo, where I call it the Absolute Infinite or simply Absolute; second when it occurs in the contingent, created world; third when the mind grasps it in abstracto as a mathematical magnitude, number or order type.

Georg Cantor

The dialectic is neither fiction nor mysticism, but a science of the forms of our thinking insofar as it is not limited to the daily problems of life but attempts to arrive at an understanding of more complicated and drawn-out processes. The dialectic and formal logic bear a relationship similar to that between higher and lower mathematics.

Leon Trotsky (1879-1940)

The dialectic is neither fiction or mysticism, but a science of the forms of our thinking insofar as it is not limited to the daily problems of life but attempts to arrive at an understanding of more complicated and drawn-out processes. The dialectic and formal logic bear a relationship similar to that between higher and lower mathematics.

Leon Trotsky (1879-1940)

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

S. Gudder

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

S. Gudder

The fear of infinity is a form of myopia that destroys the possibility of seeing the actual infinite, even though it in its highest form has created and sustains us, and in its secondary transfinite forms occurs all around us and even inhabits our minds.

Georg Cantor

The mathematics of high achievement

Thomas Carlyle (1795-1881)

The piano's world encompasses glass-nerved virtuosi and stomping barrel-housers in fedoras; it is a world of pasture and storm, of perfumed smoke, of liquid mathematics.

Kenneth Miller

The transfinite numbers are in a certain sense themselves new irrationalities and in fact in my opinion the best method of defining the finite irrational numbers is wholly disimilar to, and I might even say in priciple the same as, my method described above of introducing trasfinite numbers. One can say unconditionally: the transfinite numbers stand or fall with the finite irrational numbers; they are like each other in their innermost being; for the former like the latter are definite delimited forms or modifications of the actual infinite.

Georg Cantor

There are things which seem incredible to most men who have not studied mathematics.

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