705 Quotes About Mathematics

As I headed down the library steps, I turned back to look. The mathematics stacks were as silent and empty as ever. Apparently no one suspected the riches hidden there.

The Planeswalker knowYOu take the card from the libraryAnd bury it when you're done.On the path, you face history.Walk the path, do the math:Start with the prime numbers under 100Whose digits give you 10.Choose the happy median.Add it to: The square root of The cube of five divided byThe sum of 3 and 2.

My approach to life has been like my approach to mathematics - I apply all my skills to solve a problem but the solution always turns out to be wrong.

What we are doing is finding ways for people to understand and think about mathematics.

Questions that pertain to the foundations of mathematics, although treated by many in recent times, still lack a satisfactory solution. Ambiguity of language is philosophy's main source of problems. That is why it is of the utmost importance to examine attentively the very words we use.

I carried this problem around in my head basically the whole time. I would wake up with it first thing in the morning, I would be thinking about it all day, and I would be thinking about it when I went to sleep. Without distraction I would have the same thing going round and round in my mind.(Recalling the degree of focus and determination that eventually yielded the proof of Fermat's Last Theorem.)

This skipping is another important point. It should be done whenever a proof seems too hard or whenever a theorem or a whole paragraph does not appeal to the reader. In most cases he will be able to go on and later he may return to the parts which he skipped.

Mathematics is not a deductive science - that's a cliche. When you try to prove a theorem, you don't just list the hypotheses, and then start to reason. What you do is trial and error, experimentation, guesswork.

Solving a problem for which you know there’s an answer is like climbing a mountain with a guide, along a trail someone else has laid. In mathematics, the truth is somewhere out there in a place no one knows, beyond all the beaten paths. And it’s not always at the top of the mountain. It might be in a crack on the smoothest cliff or somewhere deep in the valley.