Colloquial catchy statements encoding serious mathematics
Here's another math link from the archives:
Colloquial catchy statements encoding serious mathematics
Some favorites:
"A brain tangled enough to tackle itself must be too tangled to tackle."
A neat formulation of Godel's Incompleteness Theorem. From the novel "Galatea 2.2" by R.Powers. -Dima Fon-Der-Flaass
"Take a map of wherever you are and lay it on the ground. There will be exactly one point on the map that is directly above the point it represents on the ground."
This refers to Banach's fixed point theorem. -Sam Derbyshire
"Can you hear the shape of a drum?"
This was Kac's famous way of asking whether the shape of a two-dimensional domain could be reconstructed from the spectrum of the Laplacian on that domain. (The answer, by the way, is "no", at least if one allows the domain to have corners.) -Terry Tao
I really like this post because it gives me the sense that other important math statements or theorems can be encapsulated in a unique or catchy way. Not only is it interesting because of the depth of the result for math, but that there can be a coherent sentence that can also give some sort of intuition for the math involved. It also makes me want to learn more about those results.