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Our seminar series might or might not be getting into category theory in the coming months. (We’re already drawing diagrams and showing that they commute; not everybody knows it yet!) To facilitate this process should we ever go in that direction, and to provide a general public service, I’m compiling a list of useful category-theory resources extant on the Wobosphere. My selection will be pedagogically oriented, rather than emphasizing the latest research; I’d like to collect reading material which could plausibly be presented to advanced undergraduate or beginning graduate students in, say, their first semester of encountering the subject. I’ll be both happy and eager to update this list with any beneficial suggestions the Gentle Readers have to offer.

Introductory:

Intermediate:

Mathematical physics:

Number theory and games:

Topology:

Logic and programming:

Foundational questions:

This list is emphatically a work in progress.

One Comment

    • Maya Incaand
    • Posted Thursday, 31 May 2007 at 08:02 am
    • Permalink

    http://philmat.oxfordjournals.org/content/vol13/issue1/
    (if you register (free) this is a free sample issue)
    You can get:

    Elaine Landry and Jean-Pierre Marquis
    Categories in Context: Historical, Foundational, and Philosophical
    Philosophia Mathematica 2005 13: 1-43; doi:10.1093/philmat/nki005 [Abstract] [Full Text] [PDF] [Request Permissions]

    Colin McLarty
    Learning from Questions on Categorical Foundations
    Philosophia Mathematica 2005 13: 44-60; doi:10.1093/philmat/nki006 [Abstract] [Full Text] [PDF] [Request Permissions]

    Stewart Shapiro
    Categories, Structures, and the Frege-Hilbert Controversy: The Status of Meta-mathematics
    Philosophia Mathematica 2005 13: 61-77; doi:10.1093/philmat/nki007 [Abstract] [Full Text] [PDF] [Request Permissions]