πŸ“š Agora location [[logic]] β˜†
Agora locations contain community contributions with titles or topics that match your search. x
πŸ“„ logic.md by @flancian β˜† raw οΈπŸ”— ✍️

Logic

πŸ“„ math/logic.md by @karlicoss β˜† raw

Table of Contents

[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?

πŸ“„ logic.md by @agora@botsin.space β˜† raw

Loading pushes...

✨ AI Synthesis Mistral Gemini ChatGPT Claude x

Expanding this section will automatically generate an AI synthesis of the contributions in this node.

Rendering context...