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Order-type of models of PA

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Assessment

Difficulty
5/5
Estimated time
Over a week
Newbie friendliness
30/100
Issue type
Documentation
Clarity
Mostly clear
Activity status
Stale
Tech stack
tex
Domain
documentation

Research direction

Start with the current presentation of the proof that every non-standard model of PA has order-type N+ZxQ, especially the proposition introducing blocks. Clarify the exact statement of each result, expand the sketchy proofs, and assess where diagrams and a revised proposition sequence would improve the exposition. Done means the advanced result is technically precise without losing its intuitive presentation.

Written by the indexing model from the issue text.

Description

I'd like to do a bit of work on the proof that every non-standard model of PA has order-type N+ZxQ. Some of the proofs are quite sketchy and I'd like to add a bit more detail, but I also wondered about going beyond this and changing the overall presentation to be a bit more precise about what's being proved, and perhaps restructuring the sequence of propositions a bit.

Does this sound reasonable? My thought here is that this is a fairly advanced result by Open Logic standards, and as such if it's being taught at all then it should be ok if it's presented in a somewhat more technical manner. I don't want to lose the intuitiveness of the current presentation (and in fact it would actually be nice to add more diagrams, as I think this is a result which is particularly amenable to them) but when I was teaching this myself I found it wasn't always clear what the exact statement of a given result was (e.g. in the proposition that introduces the idea of a block).

Dominant language
TeX
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Forks
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