QED.
OP, I need the definition for × and <,> too
× is the cartesian product and = {x, {x,y}} is the ordered pair of x and y. (i.e., if x is in X and y is in Y, then is the corresponding element of the cartesian product X × Y). hope this helps
it’s the “order type” of a well ordering on a set. so, given a set X with a total ordering R, type(X,R) is the unique ordinal isomorphic to (X,R)
Mathematicians write the most insane shit you’ve ever seen in your life then they’re just like □ peace out
If you wrote the equivalent of this in software I think linus torvalds himself would personally show up to destroy your pc.
Is this from Principia Mathematica or smth?
This is giving me PTSD flashbacks from Number Theory at uni. What a fascinating mindfuck.