#thematic

A mathematician, like a painter or poet, is a maker of patterns. If his patterns are more permanent than theirs, it is because they are made with ideas. ↗

— G. H. Hardy

#his #ideas #like #made #maker

I regard it in fact as the great advantage of the mathematical technique that it allows us to describe, by means of algebraic equations, the general character of a pattern even where we are ignorant of the numerical values which will determine its particular manifestation. ↗

— Friedrich August von Hayek

#allows #character #describe #determine #equations

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

Mathematics knows no races or geographic boundaries; for mathematics, the cultural world is one country. ↗

— David Hilbert

#country #cultural #geographic #knows #mathematics

How thoroughly it is ingrained in mathematical science that every real advance goes hand in hand with the invention of sharper tools and simpler methods which, at the same time, assist in understanding earlier theories and in casting aside some more complicated developments. ↗

— David Hilbert

#aside #assist #casting #complicated #developments

Mathematics is a game played according to certain simple rules with meaningless marks on paper. ↗

— David Hilbert

#certain #game #marks #mathematics #meaningless