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Results tagged with reference-request
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user 10384
This tag is used if a reference is needed in a paper or textbook on a specific result.
10
votes
Comparative analysis of history of mathematics
Jeremy Gray has written a few things that might fit into this category, including the following.
Plato's Ghost: The Modernist Transformation of Mathematics. The book's thesis is that "1890 to 1930 sa …
- 1,094
10
votes
Book recommendation introduction to model theory
I quite like Wilfrid Hodges's A Shorter Model Theory (Cambridge University Press, 1997). It covers all the topics you mention, while also tackling a few more advanced ones in the final chapter. The bo …
- 1,094
5
votes
1
answer
231
views
Attribution of an equivalence of the existence of omega-models of RCA0
There are many well-known equivalences in reverse mathematics between statements of the form "Every set is contained a countable coded $\omega$-model of $T$" and $S$, where $S, T$ are subsystems of se …
- 1,094
5
votes
Equivalences between statements of (seemingly) different order
When we say "with set parameters" I take it that what we really mean is something of the form: the axioms of (e.g.) the $\Sigma^0_1$ induction scheme are the universal closures of all formulas of the …
- 1,094
2
votes
Reference Request: Non-Standard Models of PA
Peter Smith has a pretty good handout on Tennenbaum's theorem that I found useful when learning that material. As others have mentioned, Richard Kaye's Models of Peano Arithmetic is the go-to referenc …
- 1,094