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Results tagged with mathematical-philosophy
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user 9550
Philosophical aspects of logic and set theory; truth status of mathematical axioms; Philosophy of Mathematics; philosophical aspects of mathematics in general; relation of mathematics to philosophy; etc. Consider also posting at http://philosophy.stackexchange.com/, where philosophy-of-mathematics is one of the most popular tags.
13
votes
Why should we believe in the axiom of regularity?
I feel that the Regularity is close in spirit to the Extensionality, and together they convey the idea that identity of a set is determined only by its elements. With the Extensionality alone (without …
- 6,819
59
votes
7
answers
4k
views
How closed-form conjectures are made?
Recently I posted a conjecture at Math.SE:
$$\int_0^\infty\ln\frac{J_\mu(x)^2+Y_\mu(x)^2}{J_\nu(x)^2+Y_\nu(x)^2}\mathrm dx\stackrel{?}{=}\frac{\pi}{2}(\mu^2-\nu^2),$$
where $J_\mu(x)$ and $Y_\mu(x)$ a …
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- 1