#thematic

The infinite in mathematics is alway unruly unless it is properly treated. ↗

— James Newman

#mathematics #properly #treated #unless #unruly

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. ↗

— James Newman

#could #even #ever #existed #existence

It is hard to know what you are talking about in mathematics, yet no one questions the validity of what you say. There is no other realm of discourse half so queer. ↗

— James Newman

#discourse #half #hard #know #mathematics

The thing I want you especially to understand is this feeling of divine revelation. I feel that this structure was "out there" all along I just couldn't see it. And now I can! This is really what keeps me in the math game-- the chance that I might glimpse some kind of secret underlying truth, some sort of message from the gods. ↗

— Paul Lockhart

#math #mathematics #art

Mathematicians aren't satisfied because they know there are no solutions up to four million or four billion, they really want to know that there are no solutions up to infinity. ↗

— Andrew Wiles

#billion #four #infinity #know #mathematicians

I'm sure that some of them will be very hard and I'll have a sense of achievement again, but nothing will mean the same to me - there's no other problem in mathematics that could hold me the way that this one did. ↗

— Andrew Wiles

#again #could #did #hard #hold

Women have a passion for mathematics. They divide their age in half, double the price of their clothes, and always add at least five years to the age of their best friend. ↗

— Marcel Achard

#mathematics #women #age

It is the story that matters not just the ending. ↗

— Paul Lockhart

#math #mathematics #story #art

Logic, n. The art of thinking and reasoning in strict accordance with the limitations and incapacities of the human misunderstanding. The basic of logic is the syllogism, consisting of a major and a minor premise and a conclusion - thus: Major Premise: Sixty men can do a piece of work sixty times as quickly as one man. Minor Premise: One man can dig a post-hole in sixty seconds; Therefore- Conclusion: Sixty men can dig a post-hole in one second. This may be called syllogism arithmetical, in which, by combining logic and mathematics, we obtain a double certainty and are twice blessed. ↗

— Ambrose Bierce

#logic #mathematics #art

Ideas that require people to reorganize their picture of the world provoke hostility. ↗

— James Gleick

#chaos-theory #life #mathematics #paradigm #paradigm-shift