📕 subnode [[@karlicoss/logic]]
in 📚 node [[logic]]
Table of Contents
[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?
📖 stoas
- public document at doc.anagora.org/logic
- video call at meet.jit.si/logic