#thematic

In mathematics we have long since drawn the rein, and given over a hopeless race. ↗

— Charles Babbage

#given #hopeless #long #mathematics #over

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

No matter how correct a mathematical theorem may appear to be, one ought never to be satisfied that there was not something imperfect about it until it also gives the impression of being beautiful. ↗

— George Boole

#also #appear #beautiful #being #being beautiful

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

I had a feeling once about Mathematics - that I saw it all. Depth beyond depth was revealed to me - the Byss and Abyss. I saw - as one might see the transit of Venus or even the Lord Mayor's Show - a quantity passing through infinity and changing its sign from plus to minus. I saw exactly why it happened and why the tergiversation was inevitable but it was after dinner and I let it go. ↗

— Winston Churchill

#mathematics #studying #change