#thematic

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

Mark all mathematical heads which be wholly and only bent on these sciences, how solitary they be themselves, how unfit to live with others, how unapt to serve the world. ↗

— Roger Ascham

#heads #how #live #mark #mathematical

Mathematics is the most beautiful and most powerful creation of the human spirit. ↗

— Stefan Banach

#creation #human #human spirit #mathematics #most

One can imagine that the ultimate mathematician is one who can see analogies between analogies. ↗

— Stefan Banach

#imagine #mathematician #see #ultimate #who

Mathematical discoveries, like springtime violets in the woods, have their season which no man can hasten or retard. ↗

— Janos Bolyai

#hasten #like #man #mathematical #retard

In mathematics the art of proposing a question must be held of higher value than solving it. ↗

— Georg Cantor

#held #higher #mathematics #must #proposing

I realise that in this undertaking I place myself in a certain opposition to views widely held concerning the mathematical infinite and to opinions frequently defended on the nature of numbers. ↗

— Georg Cantor

#concerning #defended #frequently #held #i

The only thing that might have annoyed some mathematicians was the presumption of assuming that maybe the axiom of choice could fail, and that we should look into contrary assumptions. ↗

— Alonzo Church

#assuming #assumptions #axiom #choice #contrary

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. ↗

— Richard Courant

#aesthetic #analysis #basic #basic elements #construction

My beautiful proof lies all in ruins. ↗

— Georg Cantor

#ruins #beauty