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Published in:
2019 | OriginalPaper | Chapter
5. Axiomatics
Authors : Patrick Schultz, David I. Spivak
Published in: Temporal Type Theory
Publisher: Springer International Publishing
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Abstract
In Chap. 4, we explained a connection between toposes, type theory, and logic. We also discussed modalities and numeric types in an arbitrary topos. In the current chapter, we will lay out the signature—meaning the atomic types, atomic terms, and axioms—for our specific topos, \(\mathcal {B}\). It turns out that our signature consists of no atomic types, one atomic term, and ten axioms.