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Results tagged with lo.logic
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user 69371
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.
6
votes
What is a logic?
Here are three research traditions that both illustrate how the problem can be approached, and give rather different perspectives on what counts as a logic.
(this really is just to complement Dan Pip …
- 125
4
votes
1
answer
492
views
Does PA+Con(PA) entail the existence of non-standard models of PA?
Does $\textsf{PA}$+Con($\textsf{PA}$) entail the existence of non-standard models of $\textsf{PA}$?
Is there a reasonable way in which to code, inside $\textsf{PA}$, the statement that $\textsf{PA}$ …
- 125
2
votes
1
answer
275
views
Representable cylindric algebras and correspondence with first-order models
The class $\textsf{Cs}_{\omega}^{reg}\cap \textsf{Lf}_{\omega}$ of locally finite and regular cylindric set algebras (of dimension $\omega$) can be seen as the algebraic counterpart of first-order mod …
- 125