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Results tagged with lo.logic
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user 29570
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.
4
votes
1
answer
510
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1
vote
1
answer
436
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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 …
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?
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