📚 node [[logic]]
Logic
Logic
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[2017-11-30]Continuum hypothesis[2015-08-26]depenedent sum- [[Self-reference elimination: use indices]]
[2017-11-30] Continuum hypothesis
Godel: proved that ZFC + CH is consistnent
Cohen: proved that ZFC + ~CH is consistnent (actually, any intermediate number of infinities)
[2015-08-26] depenedent sum
Sum (a : A) (B(A)) = {(a, b) | a ∈ A, b ∈ B(a)}
Exists (a : A) (B(A)) = || Sum a B ||
Self-reference elimination: use indices
x1 ∈ y2
y2 ∈ x1: forbidden!
x1 ∈ x2: forbidden!
System NF?
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