#mathematics

We do not learn by inference and deduction and the application of mathematics to philosophy, but by direct intercourse and sympathy. ↗

— Richard M. Nixon

#deduction #direct #inference #intercourse #learn

This book is about physics and its about physics and its relationship with mathematics and how they seem to be intimately related and to what extent can you explore this relationship and trust it. ↗

— Roger Penrose

#book #explore #extent #how #intimately

The traditional mathematician recognizes and appreciates mathematical elegance when he sees it. I propose to go one step further, and to consider elegance an essential ingredient of mathematics: if it is clumsy, it is not mathematics. ↗

— Edsger Dijkstra

#clumsy #consider #elegance #essential #further

Seni sama pentingnya dengan matematika. Seni memanusiakan manusia. Seni menciptakan rasa empati ↗

— Wahyu Aditya

#human #human-nature #mathematics #maths #science

The only problem i had with literature that I simply couldn't figure out was that the correct answer was the first thing that comes to your mind after reading the question, the most obvious one. I can only blame math for that. ↗

— Blin Varfi

#exams #highschool #humor #irony #literature

One can be enlightened about proofs as well as theorems. Without enlightenment, one is merely reduced to memorizing proofs. With enlightenment about a proof, its flow becomes clear and it can become an item of astonishing beauty. In addition, the need to memorize disappears because the proof has become part of your soul. ↗

— Herbert S. Gaskill

#beauty

If we increase r [in a logistic map] even more, we will eventually force the system into a period-8 limit cycle, then a period-16 cycle, and so on. The amount that we have to increase r to get another period doubling gets smaller and smaller for each new bifurcation. This cascade of period doublings is reminiscent of the race between Achilles and the tortoise, in that an infinite number of bifurcations (or time steps in the race) can be confined to a local region of finite size. At a very special critical value, the dynamical system will fall into what is essentially an infinite-period limit cycle. This is chaos. ↗

— Gary William Flake

#mathematics #beauty

Luck is the grand equalizer. ↗

— Nassim Nicholas Taleb

#equality

Doing mathematics should always mean finding patterns and crafting beautiful and meaningful explanations. ↗

— Paul Lockhart

#math #mathematics #art

Be honest: did you actually read [the above geometric proof]? Of course not. Who would want to? The effect of such a production being made over something so simple is to make people doubt their own intuition. Calling into question the obvious by insisting that it be 'rigorously proved' ... is to say to a student 'Your feelings and ideas are suspect. You need to think and speak our way. ↗

— Paul Lockhart

#intuition #math #mathematics #art