new Youtube video released!
An innocent looking meme that's been floating around the internet for a few years, looking like your standard clickbait slop, but actually hides some interesting math using elliptic curves
link below
So the new pope is a mathematician.
Does he believe every set of reals is measurable?
The Solovay model requires the existence of an inaccessible cardinal.
Let X = exp(U²/2) and Y=exp(V²/2) where U,V are joint normal with mean 0, variance 1, and 50% correlation. Then,
E[X|Y] = 2Y
E[Y|X] = 2X
They are each, on average, twice as big as the other!
Whatever you do, 𝙛𝙤𝙧 𝙩𝙝𝙚 𝙡𝙤𝙫𝙚 𝙤𝙛 𝙂𝙤𝙙, do not ask random variables to be Lebesgue measurable!
If you were so stupid to do that, then 𝙮𝙤𝙪 𝙬𝙤𝙪𝙡𝙙 𝙣𝙤𝙩 𝙚𝙫𝙚𝙣 𝙗𝙚 𝙖𝙗𝙡𝙚 𝙩𝙤 𝙖𝙙𝙙 𝙧𝙖𝙣𝙙𝙤𝙢 𝙫𝙖𝙧𝙞𝙖𝙗𝙡𝙚𝙨 𝙩𝙤𝙜𝙚𝙩𝙝𝙚𝙧.