Plato Quotes

Mathematics is concerned only with the enumeration and comparison of relations.

Arithmetic is where the content lies, and not logic; but logic prompts certainty, and not arithmetic.

Mathematics is, as it were, a sensuous logic, and relates to philosophy as do the arts, music, and plastic art to poetry.

The whole of mathematics consists in the organization of a series of aids to the imagination in the process of reasoning.

As an exercise of the reasoning faculties, pure mathematics is an admirable exercise, because it consists of reasoning alone and does not encumber the student with any exercise of judgment.

Our account does not rob the mathematicians of their science... In point of fact they do not need the infinite and do not use it.

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

Arithmetic is a kind of knowledge in which the best natures should be trained, and which must not be given up.

Do not imagine that mathematics is hard and crabbed, and repulsive to common sense. It is merely the etherealization of common sense.

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

Mathematics is good for the soul, getting things right enlivens a sense of truth, efforts to understand automatically purify desires.

Mathematics is the bold luxury of pure reason, one of the few that remain today.

Besides language and music, it [mathematics] is one of the primary manifestations of the free creative power of the human mind, and it is the universal organ for world understanding through theoretical construction. Mathematics must therefore remain an essential element of the knowledge and abilities which we have to teach, of the culture we have to transmit, to the next generation.

There still remain three studies suitable for free man. Arithmetic is one of them.

Arithmetic! Algebra! Geometry! Grandiose trinity! Luminous triangle! Whoever has not known you is without sense!

The numbers may be said to rule the whole world of quantity, and the four rules of arithmetic may be regarded as the complete equipment of the mathematician.

Consequently he who wishes to attain to human perfection, must therefore first study Logic, next the various branches of Mathematics in their proper order, then Physics, and lastly Metaphysics.

What would life be without arithmetic, but a scene of horrors?

Many who have had an opportunity of knowing any more about mathematics confuse it with arithmetic, and consider it an arid science. In reality, however, it is a science which requires a great amount of imagination.

By all means, have you give great attention to your arithmetic, as its advantages are so many and important.

I always thought that I was okay with arithmetic.

For the things of this world cannot be made known without a knowledge of mathematics.

And they're also very good at math, these super boogers, and so they teach Billy the ways of mathematics.

The essence of mathematics lies precisely in its freedom.