“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

“An equation for me has no meaning, unless it expresses a thought of God.” – Ramanujan

“The infinitely competent can be uncreative.” – Littlewood.

Mathematics is done by humans for humans.- Lockhart

“I am opposed to textbooks… I find it hateful to give a course where I have to plough my way through chapter after chapter of a given book. The liveliness of the lecture, which is meant to give an impetus to students, would suffer tremendously.” – Emil Artin

“A mathematician is a device for turning coffee into theorems.” – Erdos

Erdos once made a bet with a friend that he could stop drinking coffee for a whole month. Erdos won the best, but said “Mathematics has been set back a whole month”.

It is not knowledge, but the act of learning, not the possession of but the act of getting there, which grants the greatest enjoyment.” – Karl Friedrich Gauss

“Mathematicians have tried in vain to this day to discover some order in the sequence of prime numbers, and we have reason to believe that it is a mystery into which the human mind will never penetrate.” – Leonhard Euler

“There is no royal road to geometry.” – Euclid

We stand on the shoulder of giants. One cannot invent all of mathematics on one’s own. To extend the body of knowledge that exists, one must familiarize oneself with all much literature.

“As for everything else, so for a mathematical theory: beauty can be perceived but not explained.” – Arthur Cayley

“Real mathematics must be justified as an art if it can be justified at all.” – Hardy

“We live in a time where AI can help us do mathematics, but AI still needs us.” – Timothy Gowers