Mathematical logic
Table of Contents
¶ Continuum hypothesis logic
Godel: proved that ZFC + CH is consistnent
Cohen: proved that ZFC + ~CH is consistnent (actually, any intermediate number of infinities)
¶ depenedent sum logic
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 logic
x1 ∈ y2
y2 ∈ x1: forbidden!
x1 ∈ x2: forbidden!
System NF?