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Questions that are about research in mathematics, or about the job of a research mathematician, without being mathematical problems or statements in the strictest sense. Do not use this tag for easy or supposedly easy mathematical questions.

1 vote
2 answers
327 views

Heuristic interpretations of the PA-unprovability of Goodstein's Theorem

I've relatively recently learned about Goodstein's Theorem and its unprovability in Peano arithmetic (the Kirby-Paris Theorem). I do not have any real knowledge of formal logic; but I think I've seen …
Julian Newman's user avatar
1 vote
0 answers
103 views

Is there a research direction within dynamical systems theory / ergodic theory that concerns...

Let $X$ be a set equipped with some structure (e.g. topological space, measurable space, probability space, etc.). We say that two endomorphisms $f,g \colon X \to X$ are conjugate to each other if the …
Julian Newman's user avatar