Axioms of Constructive Set Theory Explained

In this video we're going to discuss the various axiom schemes of constructive set theories and how they relate to type theory. I cover BCST, ECST, IKP, KPI, KP, CST, CZF, IZF, Mac Lane, Z and variants equiconsistent to ETCS from category theory, and then of course ZF and ZFC.

Here's the list of resources I mention:

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* (Beeson book)
* (Aczel slides)
* (Aczel & Rathjen book)
* (Aczel article)
* (Rathjen paper)
* (Gambino thesis)
* (Gambino paper)

The text I go over is available here:

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