"Categories for the Working Philosopher"

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Henry Story

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Mar 31, 2018, 12:31:30 PM3/31/18
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"Categories for the Working Philosopher" is a recent book edited by Elaine Landry
with a number of articles on Category Theory, but quite a few on Homotopy Type Theory too,
as shown below:

1: The Roles of Set Theories in Mathematics, Colin McLarty
2: Reviving the Philosophy of Geometry, David Corfi eld
3: Homotopy Type Theory: A synthetic approach to higher equalities, Michael Shulman
4: Structuralism, Invariance, and Univalence, Steve Awodey
5: Category Theory and Foundations, Michael Ernst
6: Canonical Maps, Jean-Pierre Marquis
7: Categorical Logic and Model Theory, John Bell
8: Unfolding FOLDS: A Foundational Framework for Abstract Mathematical Concepts, Jean-Pierre Marquis
9: Categories and Modalities, Kohei Kishida
10: Proof Theory of the Cut Rule, J.R.B Cockett and R.A.G Seely
11: Contextuality: At the Borders of Paradox, Samson Abramsky
12: Categorical Quantum Mechanics I: Causal Quantum Processes, Bob Coecke and Aleks Kissinger
13: Category Theory and the Foundations of Classical Spacetime Theories, James Weatherall
14: Six-dimensional Lorentz Category, Joachim Lambek
15: Applications of Categories to Biology and Cognition, Andrée Ehresmann
16: Categories as Mathematical Models, David I. Spivak
17: Categories of Scientifi c Theories, David Hans Halvorson and Dimitris Tsementzis
18: Structural Realism and Category Mistakes, Elaine Landry

available here: https://global.oup.com/academic/product/9780198748991/?cc=uk&lang=en&promocode=AAFLYG6

I have found the first 6 articles very helpful, and am going through in detail the articles on Model Theory and Modal Logic. The Modal
Logic looks at David Lewis type neighborhood semantics with a topoligical mapping. It looks like this may answer some
of the questions I asked a few years ago on this list.

Henry
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