For scholars and laymen alike it is not philosophy but active experience in mathematics itself that can alone answer the question: What is mathematics?
Sentiment: POSITIVE
Mathematics is, as it were, a sensuous logic, and relates to philosophy as do the arts, music, and plastic art to poetry.
Mathematics is a place where you can do things which you can't do in the real world.
Mathematics as an expression of the human mind reflects the active will, the contemplative reason, and the desire for aesthetic perfection. Its basic elements are logic and intuition, analysis and construction, generality and individuality.
Mathematics is written for mathematicians.
Mathematics has beauty and romance. It's not a boring place to be, the mathematical world. It's an extraordinary place; it's worth spending time there.
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.
One of the most amazing things about mathematics is the people who do math aren't usually interested in application, because mathematics itself is truly a beautiful art form. It's structures and patterns, and that's what we love, and that's what we get off on.
Without mathematics, there's nothing you can do. Everything around you is mathematics. Everything around you is numbers.
We in science are spoiled by the success of mathematics. Mathematics is the study of problems so simple that they have good solutions.
Mathematics may be defined as the subject in which we never know what we are talking about, nor whether what we are saying is true.