Quotes About Mathematics

Mathematicians create by acts of insights and intuition. Logic then sanctions the conquests of intuition.

Philosophical knowledge is the knowledge gained by reason from concepts ; mathematical knowledge is the knowledge gained by reason from the construction of concepts.

Calculators can only calculate - they cannot do mathematics.

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

The desire to explore thus marks out the mathematician. This is one of the forces making for the growth of mathematics. The mathematician enjoys what he already knows; he is eager for more knowledge.

Mathematics is one of the most basic -- and most ancient -- types of knowledge. Yet the details of its historical development remain obscure to all but a few specialists.

Only professional mathematicians learn anything from proofs. Other people learn from explanations.

The generation of random numbers is too important to be left to chance.

The real satisfaction from mathematics is in learning from others and sharing with others.

Mathematics is a language. We want scientists to be able to read it, speak it, and write it. But we are are not training them to be grammarians.

A linguist would be shocked to learn that if a set is not closed this does not mean that it is open, or again that "E is dense in E" does not mean the same thing as "E is dense in itself".

What is best in mathematics deserves not merely to be learnt as a task, but to assimilated as a part of daily thought, and brought again and again before the mind with ever-renewed encouragement.

Who has not been amazed to learn that the function y = ex, like a phoenix rising from its own ashes, is its own derivative?

In mathematics and science definition are simple, but bare-bones. Until you get to a problem which you understand it takes hundreds and hundreds of pages and years and years of learning.

Numbers have life; they're not just symbols on paper.

Only irrational fools would consistently and practically deny that 2 + 2 = 4. Not only is the answer to this equation a part of common sense, it is easily demonstrable and highly useful.

In the past, Cameron, worrying about Ian, would go make sure that he wasn't sitting alone in a huddle, or staring for hours at a Ming bowl, or pouring over some endless mathematical exercise. These days, Cameron knew that Ian used the excuse of not liking crowds to spend more time alone with his wife – in bed.

Time is irrelevant to math.

What was your most embarrassing moment? I once scored a mere ninety-nine percent on a mathematics assignment. I was mortified. I had forgotten to round up the third decimal place. Imagine my embarrassment.

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Do you know what fascinates me about science? It is that I have found the supreme poetry: the intoxicating giddiness of numbers in mathematics and the mysterious murmur of the universe in astronomy.

In other words, if geometry was top-down mathematics, the method of indivisibles was bottom-up mathematics.

The Elements is arguably the most influential mathematical text in history.

My answer is that I've found it an absorbing example of how a society can cling to policies and practices that serve no rational purpose. They persist because they become embedded, usually bolstered by those who benefit. Nor are the issues entirely academic. Making mathematics a barrier ends up suppressing opportunities, stifling creativity, and denying society a wealth of varied talents.