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2 votes
3 answers
117 views

Does set-theoretic pluralism, about axiom systems, inevitably become an invitation to non-axiomatic systems of set theory?

Per Hamkins[[11][12]] (see also his [22]), if no individual axiom is too sacred to be denied in some possible world,Q and so if no collection of such axioms is so sacred either, yet then: The ...
Kristian Berry's user avatar
5 votes
2 answers
203 views

How many variations on graph-theoretic/related parameters indicate alternatives to foundationalism/coherentism/infinitism?

The set theory I'm trying to work in right now is geared towards applying an "axiom of multifoundation" whose local maximum representation is: The interpretation of the elementhood glyphs ...
Kristian Berry's user avatar
0 votes
0 answers
65 views

Is category theory an example of foundherentism?

After reading this essay about the history of type theory, I have refined my assessment of the set- vs. type-theory question in two ways. More similarly to what I was thinking before, I still ground ...
Kristian Berry's user avatar