Mathematics takes us into the region of absolute necessity, to which not only the actual word, but every possible word, must conform.
Sentiment: POSITIVE
Mathematics is a place where you can do things which you can't do in the real world.
The power of mathematics is often to change one thing into another, to change geometry into language.
All mathematics is is a language that is well tuned, finely honed, to describe patterns; be it patterns in a star, which has five points that are regularly arranged, be it patterns in numbers like 2, 4, 6, 8, 10 that follow very regular progression.
The wonderful thing about maths is it's a totally logical subject, and a pathway has been marked out. I think a lot of these things can be crystallised in something quite essential, that people can get. If I can't explain it, I realise that's probably because I don't completely understand it myself.
When something is beautiful in math, everything is just perfectly lined up, and you see through sheer thought that something really beautiful can take place.
We have overcome the notion that mathematical truths have an existence independent and apart from our own minds. It is even strange to us that such a notion could ever have existed.
It is not of the essence of mathematics to be conversant with the ideas of number and quantity.
Without mathematics, there's nothing you can do. Everything around you is mathematics. Everything around you is numbers.
The essence of mathematics lies in its freedom.
The mathematics is not there till we put it there.