Some miscellanea encountered this week:
- Finite infinite cardinality. There’s a somewhat odd thread over on the XKCD forums about the cardinality of infinite sets. The original poster has an intuitive problem with the fact that an infinite set may have the same cardinality as a proper subset of —which is one way of defining what it means for a set to be infinite in the first place. The thread attempts to correct the counterintuitive result by proposing that we take as an axiom. I guess we should just ignore those infinte sets after all?
- Projectile nonsense. Over at Language Log, a commenter suggested that projectile nonsense may be a subfield of abstract nonsense. I don’t have any good idea what additional axioms we would add to category theory in order to get to this new theory. I have even less of an idea how the chair of a Presidential campaign would go about turning it into “something approaching the sublime”.
Copyright © 2008 Michael L. McCliment.