Mathematical logic

Table of Contents

[2017-11-30] Continuum hypothesis logic

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 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?

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