"[I]n order to study anything logically, we have to ignore all the pesky details that prevent it from behaving logically, and... move into the idealized world... rather than the real world of things... [T]his... is what... abstraction... is..."
Eugenia Loh-Gene Cheng is a British mathematician, educator and concert pianist. Her mathematical interests include higher category theory, and as a pianist she specialises in lieder and art song. She is also known for explaining mathematics to non-mathematicians to combat math phobia, often using analogies with food and baking. Cheng is a scientist-in-residence at the School of the Art Institute
"Infinity is a Loch Ness monster, capturing the imagination with its awe-inspiring size but elusive nature. Infinity is a dream, a vast fantasy world of endless time and space. Infinity is a dark forest with unexpected creatures, tangled thickets and sudden rays of light breaking through. Infinity is a loop that springs open to reveal an endless spiral."
"Maths... as its taught in school is often... boring, pointless, painful, beside the point, and doesnt show people the things that... are the most beautiful about abstract math, and what the point of it is..."
"We will never be able to encompass everything by rationality alone... [T]his is a necessary and beautiful aspect of human existence."
"Id like to talk about abstract mathematics and my experience of making it... palatable to people who may have had very bad experiences of it..."
"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 for each point in the circle, you now have an entire vector, that is, a line given by the lightsaber at that instant."
"[S]omething is easy if it is attainable by logical thought processes.... without having to resort to imagination, guesswork, luck, gut feeling, convoluted interpretation, leaps of faith... drugs, violence... [etc.]"