1: Colin McLarty: The Roles of Set Theories in Mathematics
2: David Corfield: Reviving the Philosophy of Geometry
3: Michael Shulman: Homotopy Type Theory: A synthetic approach to
higher equalities
4: Steve Awodey: Structuralism, Invariance, and Univalence
5: Michael Ernst: Category Theory and Foundations
6: Jean-Pierre Marquis: Canonical Maps
7: John Bell: Categorical Logic and Model Theory
8: Jean-Pierre Marquis: Unfolding FOLDS: A Foundational Framework
for Abstract Mathematical Concepts
9: Kohei Kishida: Categories and Modalities
10: J.R.B Cockett and R.A.G Seely: Proof Theory of the Cut Rule
11: Samson Abramsky: Contextuality: At the Borders of Paradox
12: Bob Coecke and Aleks Kissinger: Categorical Quantum Mechanics
I: Causal Quantum Processes
13: James Weatherall: Category Theory and the Foundations of
Classical Spacetime Theories
14: Joachim Lambek: Six-dimensional Lorentz Category
15: Andrée Ehresmann: Applications of Categories and Biology and
Cognition
16: David I. Spivak: Categories as Mathematical Models
17: David Hans Halvorson and Dimitris Tsementzis: Categories of
Scientific Theories
18: Elaine Landry: Structural Realism and Category Mistakes
Elaine Landry is professor of philosophy at the University of
California, Davis. Her research spans three broad areas within
Philosophy of Science: history and philosophy of mathematics,
history and philosophy of science, and Plato's philosophy of
mathematics. She is one of few philosophers who works on building
bridges between all of these areas of research. Her papers are
referenced in the Stanford Encyclopaedia of Philosophy (SEP) under
the entries for
both "Category Theory" and "Structural Realism"
'Professor Landry is to be congratulated on putting together a
stimulating volume that introduces a broad audience to so many of
the key conceptual, foundational, and philosophical ideas driving
contemporary work at the intersection of philosophy and category
theory'
*Chris Kapulkin and Nicholas, The British Journal for Philosophy of
Science*
'An excellent illustration of why category theory might interest a
'working' philosopher'
*John Dougherty, Philosophy of Science*
'An important and interesting work. Landry has curated some
wonderful essays on category theory for the working philosopher,
and as long as one goes in with an understanding of the difficulty
of the material, I can heartily recommend it to the philosopher
wishing to know more about category theory and its
applications'
*Neil Barton, Philosophia Mathematica*
'Each chapter is such a rich source of knowledge that it deserves a
review as long as the present one, for, while providing essential
information on specific topics, each is more than just a survey of
well-established contents: it offers a key for their unification,
guides the reader through recent research, and investigates issues
at the frontiers of mathematical knowledge which are relevant for
applications to various scientific domains. There is a vivid sense
of unity among most chapters as tiles of one work in progress,
having importance for mathematics, logic and philosophy, even
though, as one might expect, chapters differ in their emphasis on
basic principles or approach them from different angles'
*Alberto Peruzzi, Notre Dome Philosophical Reviews*
'Professor Landry is to be congratulated on putting together a
stimulating volume that introduces a broad audience to so many of
the key conceptual, foundational, and philosophical ideas driving
contemporary work at the intersection of philosophy and category
theory'
*Chris Kapulkin and Nicholas Teh , BJPS*
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