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Results tagged with axioms
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user 28128
2
votes
1
answer
557
views
Pasch axiom and Pythagorean field condition?
I am looking for a reference for the claim that the Pasch axiom is equivalent to the Pythagorean field condition, and with respect to what base theory this should be true.
Since posting the question, …
- 16.6k
38
votes
6
answers
3k
views
What are the advantages of the more abstract approaches to nonstandard analysis?
This question does not concern the comparative merits of standard (SA) and nonstandard (NSA) analysis but rather a comparison of different approaches to NSA. What are the concrete advantages of the ab …
- 16.6k