Colin McLarty

Contributions to Philosophie.ch

Bibliography

McLarty, Colin. 1988. “Defining Sets as Sets of Points of Spaces.” The Journal of Philosophical Logic 17(1): 75–90.
McLarty, Colin. 1991. “Axiomatizing a Category of Categories.” The Journal of Symbolic Logic 56(4): 1243–1260.
McLarty, Colin. 1992. Elementary Categories, Elementary Toposes. Oxford Logic Guides n. 21. Oxford: Oxford University Press.
McLarty, Colin. 1993a. “Anti-Foundations and Self-Reference.” The Journal of Philosophical Logic 22(1): 19–28.
McLarty, Colin. 1993b. “Numbers Can Be Just What They Have To.” Noûs 27: 487–498.
McLarty, Colin. 1994. “Category Theory in Real Time.” Philosophia Mathematica 2(1): 36–44.
McLarty, Colin. 1997. “Review of Lavine (1994).” Notre Dame Journal of Formal Logic 38: 314–324.
McLarty, Colin. 2000. “Voir-Dire in the Case of Mathematical Progress.” in Third Wave Feminism. A Critical Exploration, edited by Stacy Gillis, Gillian Howie, and Rebecca Munford, pp. 269–280. Basingstoke, Hampshire: Palgrave Macmillan.
McLarty, Colin. 2001. “Semantics for First and Higher Order Realizability.” in Logic, Meaning and Computation: Essays in Memory of Alonzo Church, edited by Curtis Anthony Anderson and Michael Zelëny, pp. 353–364. Synthese Library n. 304. Dordrecht: Kluwer Academic Publishers.
McLarty, Colin. 2004. “Exploring Categorical Structuralism.” Philosophia Mathematica 12(1): 37–53.
McLarty, Colin. 2005a. “Learning from Questions on Categorical Foundations.” Philosophia Mathematica 13(1): 44–60.
McLarty, Colin. 2005b. “ ‘Mathematical Platonism’ versus Gathering the Dead: What Socrates teaches Glaucon.” Philosophia Mathematica 13(2): 115–134.
McLarty, Colin. 2008a. “What Structuralism Achieves.” in The Philosophy of Mathematical Practice, edited by Paolo Mancosu, pp. 354–369. Oxford: Oxford University Press, doi:10.1093/acprof:oso/9780199296453.001.0001.
McLarty, Colin. 2008b. “ ‘There is No Ontology Here’: Visual and Structural Geometry in Arithmetic.” in The Philosophy of Mathematical Practice, edited by Paolo Mancosu, pp. 370–406. Oxford: Oxford University Press, doi:10.1093/acprof:oso/9780199296453.001.0001.
McLarty, Colin. 2012. “Categorical Foundations and Mathematical Practice.” Philosophia Mathematica 20(1): 111–113.
McLarty, Colin. 2013. “Review of Maddy (2013).” Philosophia Mathematica 21(3): 385–392.
McLarty, Colin. 2017. “The Roles of Set Theories in Mathematics.” in Categories for the Working Philosopher, edited by Elaine M. Landry, pp. 1–17. Oxford: Oxford University Press, doi:10.1093/oso/9780198748991.001.0001.

Further References

Lavine, Shaughan. 1994. Understanding the Infinite. Cambridge, Massachusetts: Harvard University Press.
Maddy, Penelope. 2013. Defending the Axioms: On the Philosophical Foundations of Set Theory. Oxford: Oxford University Press, doi:10.1093/acprof:oso/9780199596188.001.0001.