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first-order and higher-order logic, model theory, set theory, proof theory, computability theory, formal languages, definability, interplay of syntax and semantics, constructive logic, intuitionism, philosophical logic, modal logic, completeness, Gödel incompleteness, decidability, undecidability, theories of truth, truth revision, consistency.

0 votes
2 answers
835 views

Question on Godel completeness theorem

Let $T$ be a formal theory. Suppose that $Con(T)$. Does it Godel completeness theorem confirms that the corresponding model $M_{T}$ of the $T$ really exists?
Jaykov Foukzon's user avatar
1 vote
1 answer
436 views

Reflection principles

Let con(ZFC) be a sentence in ZFC asserting that ZFC has an omega-model M. Let $A_{M}$ be an wff over M. Let S be the theory ZFC+con(ZFC). Is the reflection for S: $Bew_{S}(A_{M}) \implies A_{M}$ is …
4 votes
1 answer
510 views

What are Chris Mortensen number systems?

What are Chris Mortensen number systems?
Jaykov Foukzon's user avatar