Category Theory — History & Philosophy:
An Introductory Bibliography

Compiled by Ralph Dumain

Cheng, Eugenia. Cakes, Custard and Category Theory: Easy Recipes for Understanding Complex Mathematics. London: Profile Books, 2015. (Republished as How to Bake π [...], 2016.)

_________________. The Joy of Abstraction: An Exploration of Math, Category Theory, and Life. Cambridge, UK; New York: Cambridge University Press, 2023.

Gangle, Rocco. Diagrammatic Immanence: Category Theory and Philosophy. Edinburgh: Edinburgh University Press, 2016.

Krömer, Ralf. Tool and Object: A History and Philosophy of Category Theory. Basel; Boston: Birkhäuser, 2007.

Kuś, Marek; Skowron, Bartłomiej; eds. Category Theory in Physics, Mathematics, and Philosophy. Cham: Springer, 2019.

Landry, Elaine, ed. Categories for the Working Philosopher. Oxford, UK: Oxford University Press, 2018

Lawvere, F. William; Schanuel, Stephen H. Conceptual Mathematics: A First Introduction to Categories. Cambridge, UK; New York: Cambridge University Press, 1997.

William Lawvere - Wikipedia, the free encyclopedia

F. William Lawvere

An Interview with F. William Lawvere (2007)

Marquis, Jean-Pierre. From a Geometrical Point of View: A Study of the History and Philosophy of Category Theory. Dordrecht: Springer, 2009.

Neuman, Yair. Mathematical Structures of Natural Intelligence. Cham: Springer International Publishing: Imprint: Springer, 2017.

Peruzzi, Alberto. “Categories and Logic,” in Problemi Fondazionali nella Teoria del Significato, edited by G. Usberti (Florence: Olschki, 1991), pp. 137–211.

Peruzzi, Alberto. “Category Theory and the Search for Universals: A Very Short Guide for Philosophers,” in Modern Logic 1850-1950, East and West, edited by Francine F. Abeles and Mark E. Fuller (Cham: Springer International Publishing: Imprint: Birkhäuser, 2016), pp. 159-182.

Peruzzi, Alberto. “The Meaning of Category Theory for 21st Century Philosophy,” Axiomathes (2006) 16: 425-460.

Rodin, Andrei. Axiomatic Method and Category Theory. Cham: Springer International Publishing: Imprint: Springer, 2014.

Yao, Yuan. “From Cognitive Mappings to Sheaves,” Crisis & Critique, Volume 5, Issue 1, pp. 408-432.

What is the Relationship Between Logic and Reality?
by R. Dumain

Philosophy of Paraconsistency & Associated Logics (Web Guide)

Susan Haack — An Introductory Guide

Irony, Paradox, & Reductio ad Absurdum:
Selected Online Sources

Argumentation & Controversies: Selected Bibliography

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Uploaded 24 November 2023
Update 8 December 2023

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