[peirce-l] Re: Peirce and Prigogine

2006-04-28 Thread Arnold Shepperson
Jerry, List JC: Jerry Chandler AS: Arnold Shepperson On 4/22/06, Jerry Chandler wrote: JC: Ipresuppose that most readers of this list will find these statements to clash with their philosophy of physics, the philosophy of genera. I can merely add that the symbol system of physics is not the

[peirce-l] Fw: What is Category Theory?

2006-04-28 Thread Joseph Ransdell
Does anybody know anything about category theory in math, which is what the book in the forwarded message below is about. What is it? Does it actually have any philosophical interest? Is it relevant to Peirce? Joe Ransdell - Original Message - From: G. Sica [EMAIL PROTECTED] To:

[peirce-l] Re: Fw: What is Category Theory?

2006-04-28 Thread Benjamin Udell
Joe, list, The popular discussions of category theory on the Internet haven't helped me very much. Apparently the basic explanational problem is that it's based on higher math, so it's just hard to explain. I once asked a singularity theorist, okay, it's about categories, so what are the

[peirce-l] Re: Fw: What is Category Theory?

2006-04-28 Thread Steven Ericsson Zenith
See: http://plato.stanford.edu/entries/category-theory/ Though this may be more useful: http://mathworld.wolfram.com/Category.html I asked at a conference recently why category theory was considered so important and the claim was made that it is important because it is our most advanced

[peirce-l] Re: Fw: What is Category Theory?

2006-04-28 Thread il-young son
As far as i know, informally speaking category theory studies mappings (i.e. morphisms) between two sets of objects belonging to the same category. for example between two groups, rings, vector spaces, topological spaces, etc. in some sense, it can be thought of as an abstraction of already