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forcing, large cardinals, descriptive set theory, infinite combinatorics, cardinal characteristics, forcing axioms, ultrapowers, measures, reflection, pcf theory, models of set theory, axioms of set theory, independence, axiom of choice, continuum hypothesis, determinacy, Borel equivalence relations, Boolean-valued models, embeddings, orders, relations, transfinite recursion, set theory as a foundation of mathematics, the philosophy of set theory.

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Is it possible to generalize functions like $x^y, \ln x, \sin x, \arctan x$ to surreal numbe...

The following is taken from a sci.math post by Nicolau C Saldanha. Much more detail is available there. It is important to note that Nicolau does not define functions extensionally, i.e. two functions …
Alex Becker's user avatar