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Results tagged with lo.logic
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user 35868
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.
3
votes
0
answers
552
views
When must one strengthen one's induction hypothesis?
My questions are about the phenomenon that in order to prove a fact $\forall x \phi(x)$ by induction, sometimes straightforward induction "does not work" and instead one "must" use a "stronger" induct …
- 155
11
votes
Accepted
Cases where multiple induction steps are provably required
Here is a reference for one way of making precise sense of your question and answering it:
Stefan Hetzl and Tin Lok Wong (2017): "Some observations on the logical foundations of inductive theorem …
- 155