Forcing (lecture Notes for Math 223s, Spring 2011)
نویسنده
چکیده
Hilbert’s 1st problem: Is there a cardinal strictly between א0 and 2א0? Equivalently, is there A ⊆ R so that R does not inject into A, and A does not inject into N? The continuum hypothesis (CH) asserts that no such A exists. Gödel: CH is consistent with ZFC. In other words, ZFC does not prove the existence of A as above. Cohen: negation of CH also consistent with ZFC. In other words, ZFC does not prove the in-existence of A as above.
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