#thematic

I tried to fit it in with some previous broad conceptual understanding of some part of mathematics that would clarify the particular problem I was thinking about. ↗

— Andrew Wiles

#broad #clarify #conceptual #fit #i

It could be that the methods needed to take the next step may simply be beyond present day mathematics. Perhaps the methods I needed to complete the proof would not be invented for a hundred years. ↗

— Andrew Wiles

#complete #could #day #hundred #i

It's fine to work on any problem, so long as it generates interesting mathematics along the way - even if you don't solve it at the end of the day. ↗

— Andrew Wiles

#any #day #end #end of the day #even

The greatest problem for mathematicians now is probably the Riemann Hypothesis. ↗

— Andrew Wiles

#greatest problem #hypothesis #mathematicians #now #probably

We've lost something that's been with us for so long, and something that drew a lot of us into mathematics. But perhaps that's always the way with math problems, and we just have to find new ones to capture our attention. ↗

— Andrew Wiles

#attention #been #capture #drew #find

Well, some mathematics problems look simple, and you try them for a year or so, and then you try them for a hundred years, and it turns out that they're extremely hard to solve. ↗

— Andrew Wiles

#hard #hundred #look #mathematics #out

The spiral in a snail's shell is the same mathematically as the spiral in the Milky Way galaxy, and it's also the same mathematically as the spirals in our DNA. It's the same ratio that you'll find in very basic music that transcends cultures all over the world. ↗

— Joseph Gordon-Levitt

#basic #cultures #dna #find #galaxy

The usual approach of science of constructing a mathematical model cannot answer the questions of why there should be a universe for the model to describe. Why does the universe go to all the bother of existing? ↗

— Stephen Hawking

#approach #bother #cannot #constructing #describe

One cannot really argue with a mathematical theorem. ↗

— Stephen Hawking

#cannot #mathematical #really #theorem

A mathematical theory is not to be considered complete until you have made it so clear that you can explain it to the first man whom you meet on the street. ↗

— David Hilbert

#complete #considered #explain #first #made