OpenLogicProject / OpenLogicProject/OpenLogic

Provability in PA

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Dominant language
TeX
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Description

There should be a discussion of what PA can prove (esp that Q can't). It'd be independently interesting & important to see how applying the induction schema works, but various facts are also stated without proof in model-theory/models-of-arithmetic/models-of-PA

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First steps

  1. Read the whole issue, then the project's contributing guide.
  2. Comment on the issue to say you are picking it up — it saves two people doing the same work.
  3. Fork the repository and make your change on a branch.
  4. Open a pull request that references the issue number.

Research direction

Start by reading model-theory/models-of-arithmetic/models-of-PA, especially the claims about what PA and Q can prove. Trace how the induction schema is currently presented, then add the requested discussion and proofs; the work is done when the relevant facts are justified in that section.

Written by the indexing model from the issue text.

Assessment

Tech stack
tex
Domain
documentation
Issue type
Documentation
Difficulty
4/5
Estimated time
3-5 days
Activity status
Stale
Clarity
Mostly clear
Newbie friendliness
35/100

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