OpenLogicProject / OpenLogicProject/OpenLogic
Order-type of models of PA
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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).
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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.
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Assessment
- Tech stack
- tex
- Domain
- documentation
- Issue type
- Documentation
- Difficulty
- 5/5
- Estimated time
- Over a week
- Activity status
- Stale
- Clarity
- Mostly clear
- Newbie friendliness
- 30/100