Previously: Part 5. Next: Part 7. A category theorist might imagine that a chapter with this title would be about constructing colimits, and they’d be half right.

It’s the penultimate week of the course, and up until now we’ve abstained from using the axiom of choice. But this week we gorged on it. The section I most enjoyed writing and teaching was the last ...

An axiom is a statement which is accepted without question, and which has no proof. ZF traditionally contains eight axioms. Two of these axioms (specification and pairing) are redundant, they can be ...

The question will be approached through an historical examination of how set theory came to occupy its present position (however one wants to characterize that position). No substantial previous ...

Richard Dedekind (1831-1916) discovered this and started a new set theory, in 1888. In his set theory, there are axioms about sets. His set theory is not good enough though: Seamless Wikipedia ...

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Research: set-theoretic topology, selection principles, covering properties, covering dimension. Research: set theory, set-theoretic topology, selection principles, game theory, and combinatorics.

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Mac users needn’t look beyond the macOS for their PDF editing needs, since there is a full set of PDF markup tools already available at their disposal in Apple Preview. It has the chops to ...