This is a great looping gif because now I just imagine Raiden having like a barrel full of cigarettes next to him he keeps grabbing from and Naomi is making this gigantic pile of cigarettes on the ground in continuation
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I'm doing it! I'm learning forcing!
OOAAAAGHH
Ok that wasn't so bad
What's the gist
It's like making a new field out of an old field by adding a new element, Q→Q[√2], Q→Q(π), R→R(x), etc. We take a model V of ZFC and add a new set G, calling it V[G]. The new element that we add is a 'generic' set, and the new model V[G] is (in a sense) all sets that we can define in V if we knew that G was going to exist.
The basic application taking a model of ZFC in which |R|=\aleph_1 and adding \aleph_2 new subsets of N, meaning that in V[G] we have |R|=\aleph_2.
im just a normal girl . i sit near a body of water and immediately experience the entire range of human emotions













