"Infinity is a Loch Ness monster, capturing the imagination with its awe-inspiring size but elusive nature. Infinity i…"

"Abstraction is about digging deep into a situation to find out what is at its core making it tick. Another way to thi…"

"... I wish we could educate people not just to be able to do things and know things, but to be nicer humans — and to …"

"...The idea of math is to look for similarities between things so that you only need one "recipe" for many different …"

"I am going to show that mathematics... is precisely "that which is easy.""

"[S]omething is easy if it is attainable by logical thought processes.... without having to resort to imagination, gue…"

"We will never be able to encompass everything by rationality alone... [T]his is a necessary and beautiful aspect of h…"

"Mathematics... helps... construct and understand arguments... too difficult for ordinary intuition. ...It is a way of…"

"Now, if you imagine drawing a circle in the air with a , the surface you make is a over a circle. The idea is that fo…"

"A lot of programs for good mathematicians at a young age are... competitions and... problem solving... and Olympiads,…"