Difference between revisions of "Peano's Parlour"
From Peano's Parlour
| Line 3: | Line 3: | ||
1. Cuts in models of PA and independence results | 1. Cuts in models of PA and independence results | ||
| − | + | 2. Recursively saturated, resplendent models, and saturated models. | |
| − | + | ||
3. Automorphisms and automorphism groups. | 3. Automorphisms and automorphism groups. | ||
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5. Lattices of elementary substructures. | 5. Lattices of elementary substructures. | ||
| − | 6. | + | 6. Uncountable models with interesting second-order properties. |
7. Nonstandard satisfaction classes. | 7. Nonstandard satisfaction classes. | ||
Revision as of 07:05, 8 January 2013
This site is dedicated to open problems in nonstandard models of Paeno Arithmetic and related theory. As in most areas, we do not suffer from a shortage of open problems. The problems are arranged by category. Here is the list of categories.
1. Cuts in models of PA and independence results
2. Recursively saturated, resplendent models, and saturated models.
3. Automorphisms and automorphism groups.
4. Standard systems and the Scott set problem.
5. Lattices of elementary substructures.
6. Uncountable models with interesting second-order properties.
7. Nonstandard satisfaction classes.
8. Model theory of strong fragments of arithmetic.
9. Model theory of weak fragments of arithmetic.
10. Model theoretic methods in proof theory.
