16 points

QED.

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28 points

OP, I need the definition for × and <,> too

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5 points

× is the cartesian product I think, no clue what the other thing is tho

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28 points

× 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

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12 points

What does type() mean here?

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25 points

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)

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2 points

Oh wow, I should know that… Thanks

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83 points

Mathematicians write the most insane shit you’ve ever seen in your life then they’re just like □ peace out

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12 points

If you wrote the equivalent of this in software I think linus torvalds himself would personally show up to destroy your pc.

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4 points

Nah, formulas like that are basically the assembly code for logic.

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5 points

Is this from Principia Mathematica or smth?

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7 points

This looks like classical ordinal set theory in relatively modern notation. I’d guess that Principia Mathematica uses batshit notation compared to this but I haven’t read it.

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15 points

This is giving me PTSD flashbacks from Number Theory at uni. What a fascinating mindfuck.

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8 points

oh god number theory… the things they make you do in that class…

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