#math

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

It is the youth who must inherit the tribulation, the sorrow... that are the aftermath of war. ↗

— Herbert Hoover

#inherit #must #sorrow #tribulation #war

If all consciousness is subject to essential laws in a manner similar to that in which spatial reality is subject to mathematical laws, then these essential laws will be of most fertile significance in investigating facts of the conscious life of human and brute animals. ↗

— Edmund Husserl

#conscious #consciousness #essential #facts #fertile

In a few decades of reconstruction, even the mathematical natural sciences, the ancient archetypes of theoretical perfection, have changed habit completely! ↗

— Edmund Husserl

#archetypes #changed #completely #decades #even

Without troublesome work, no one can have any concrete, full idea of what pure mathematical research is like or of the profusion of insights that can be obtained from it. ↗

— Edmund Husserl

#concrete #full #idea #insights #like

Now being in such grace and favor by reason I learned him some points of geometry and understanding of the art of mathematics with other things, I pleased him so that what I said he would not contrary. ↗

— William Adams

#being #contrary #favor #geometry #grace

If mathematics is to be understood widely, we need to emphasise its elegance and its applications. Sometimes it seems that universities want to emphasise how difficult it is! ↗

— Johnny Ball

#difficult #elegance #emphasise #how #mathematics