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The Category of Sets according to Stratified Set Theories

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If you have a question about this talk, please contact Julia Goedecke.

It is an old result of McLarty’s that, according to NF, the category of sets is not cartesian closed. NF has a universal set, but that is not the only reason for the result. The assertion that the universe of sets is cartesian-closed has significant consistency strength in set theories all of whose axioms are stratified, and McLarty’s result is the tip of an iceberg, some of which I shall try to reveal on Tuesday.

This talk is part of the Category Theory Seminar series.

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