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Results tagged with gm.general-mathematics
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user 479330
Questions about mathematics which don't fall into the other arXiv categories. If you have a general question about mathematics but it is not research level, it's off-topic but it might be welcomed on Mathematics Stack Exchange.
5
votes
When is 4 qualitatively different than $n\leq 3$?
In ordinal analysis, an analysis of the theory $\mathrm{KP}+\Pi_3\text{-reflection}$ was first published by Rathjen in 1994 (Rathjen, "Proof Theory of Reflection"), the function on ordinals used to ob …
5
votes
When is 2 qualitatively different from 3?
In reverse mathematics, some theorems that are weaker than $\mathsf{ACA}_0$ become equivalent to $\mathsf{ACA}_0$ by increasing a $2$ occurring in the statement to $3$.
An example is the infinite Rams …
4
votes
Theorems with many distinct proofs
In 1940 Gödel proved the consistency of the continuum hypothesis with the Zermelo-Fraenkel axioms of set theory, by introducing the constructible universe $L$ and subsequently founding the subfield of …