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The axiom of impredicativity of hProp needs to be discussed somewhere, probably in 2.8. I think chapter 9 implicitly assumes this, but is it used anywhere else?
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"From a foundational point of view, therefore, we may speak of Whitehead’s principle as a “classicality axiom”, akin to LEM and AC....Thus, by showing us a world of mathematics where ∞-groupoids are b…
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I see the cover page has been made ugly. I will fix it and will try to follow the new title, but don't jump at me if it isn't 100% accurate. The second page will reflect the correct title.
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Write blog posts, publish on G+, Facebook, etc.
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I don't like the reservations about the system expressed at several points in Chapter 2:
the penultimate par. of 2.5, and the remarks immediately following axiom 2.9.3 (FunExt) and 2.10.3 (UA) about …
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In the preface of the book, there is a discussion about identity proofs in an h-set which are not judgmentally equal to reflexivity:
"In some cases, the proliferation of such superfluous identity ter…
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both terms occur often -- the former more often.
shall we even try to be consistent?
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The IT subdirectory which contains the development of W-types by Steve Awodey and Kristina Sojakova is problematic. It contains a copy Vladimir Voevodsky's Coq files _copied_ over. This is bad because…