> On Oct 3, 2014, at 12:20 PM, Benjamin Udell <[email protected]> wrote: > > On 10/3/2014 2:04 PM, Sungchul Ji wrote: > >> Ben, Jeff, Jon, lists, >> >> 1) Can we say that there can be many triads, depending one how one >> defines them, but the Peircean triad is special and identical with a >> mathematical category ?
Category theory is one of those things I’ve always wanted to learn and never have had time. I can’t say much about it. However I did have this in my notes. It’s from *way* back on May 1st, 2006 here on Peirce-L. It’s from John Sowa whom I suspect most of us are familiar with. This is him replying on connections between category theory and Peirce. I would say that the description of category theory by Irving A. is a reasonable explanation of the subject. But category theory wasn't invented until about 40 years after Peirce died. Therefore, he wasn't aware of it. On the other hand, I don't think that there's much point in arguing "whether it can be connected to any part of the work of Peirce in any significant way?" He probably would have approved of it, but so what? There are other developments, such as DNA and Heisenberg's uncertainty principle in quantum mechanics, which are much closer to themes that Peirce had discussed. Those could be considered support for his positions, but I'd put category theory into an area that is compatible with Peirce's views, but not directly supportive of anything he said in particular.
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