#mathematics

If scientific reasoning were limited to the logical processes of arithmetic, we should not get very far in our understanding of the physical world. One might as well attempt to grasp the game of poker entirely by the use of the mathematics of probability. ↗

— Vannevar Bush

#attempt #entirely #far #game #get

For the execution of the voyage to the Indies, I did not make use of intelligence, mathematics or maps. ↗

— Christopher Columbus

#execution #i #indies #intelligence #make

If I were again beginning my studies, I would follow the advice of Plato and start with mathematics. ↗

— Galileo Galilei

#again #beginning #follow #i #mathematics

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

— Georg Cantor

#held #higher #mathematics #must #proposing

The problem is that no ethical system has ever achieved consensus. Ethical systems are completely unlike mathematics or science. This is a source of concern. ↗

— Daniel Dennett

#completely #concern #consensus #ethical #ever

My beautiful proof lies all in ruins. ↗

— Georg Cantor

#ruins #beauty

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

When we are young, we spend much time and pains in filling our note-books with all definitions of Religion, Love, Poetry, Politics, Art, in the hope that, in the course of a few years, we shall have condensed into our encyclopaedia the net value of all the theories at which the world has yet arrived. But year after year our tables get no completeness, and at last we discover that our curve is a parabola, whose arcs will never meet. ↗

— Ralph Waldo Emerson

#facts #learning #life #life-lessons #mathematics

I'm sure that some of them will be very hard and I'll have a sense of achievement again, but nothing will mean the same to me - there's no other problem in mathematics that could hold me the way that this one did. ↗

— Andrew Wiles

#again #could #did #hard #hold

It is the story that matters not just the ending. ↗

— Paul Lockhart

#math #mathematics #story #art