Re: Some books on category and topos theory

2008-11-07 Thread Bruno Marchal
On 07 Nov 2008, at 15:57, Mirek Dobsicek wrote: > > Bruno Marchal in an older post wrote: >>> Also, >>> can you elaborate a bit more on the motivation behind category >>> theory? >>> Why >>> was it invented, and what problems does it solve? What's the >>> relationship >>> between category th

Re: Some books on category and topos theory

2008-11-07 Thread Mirek Dobsicek
Bruno Marchal in an older post wrote: >> Also, >> can you elaborate a bit more on the motivation behind category theory? >> Why >> was it invented, and what problems does it solve? What's the relationship >> between category theory and the idea that all possible universes exists? > > > Tim makes

Re: Some books on category and topos theory

2002-07-16 Thread scerir
Title: Re: Some books on category and topos theory Tim May wrote: Whether knots are the key to physics, I can't say. [...]   Knots are the key to (quantum) entanglement. s.

Re: Some books on category and topos theory

2002-07-16 Thread Bruno Marchal
Title: Re: Some books on category and topos theory At 12:24 -0700 9/07/2002, Tim May wrote: Whether knots are the key to physics, I can't say. Certainly there are suggestive notions that particles might be some kind of knots in spacetime (of some dimensionality)... Interesting! Chromo

Re: Some books on category and topos theory

2002-07-09 Thread Tim May
On Tuesday, July 9, 2002, at 11:08 AM, Bruno Marchal wrote: > > Me too. Now, I feel almost like you about ... knot theory. > And this fit well with your cat-enthusiasm, for knot theory is > a reservoir of beautiful and TOE-relevant categories > (the monoidal one). I've just > ordered Yetter's bo

Re: Some books on category and topos theory

2002-07-09 Thread Bruno Marchal
At 9:24 -0700 9/07/2002, Tim May wrote: >Reading styles differ, but I have come to favor the "hawk spiral." I >see hawks spiralling in the thermals near my house, and this is how >I like to learn. I read something from one book, think, read from >another, think, try to compare what the authors

Re: Some books on category and topos theory

2002-07-09 Thread Tim May
On Tuesday, July 9, 2002, at 07:41 AM, Bruno Marchal wrote: > > Tim makes a very genuine remark (but he writes so much I fear that has > been unnoticed!). True enough...I write a lot! (The old joke applies: "I don't have enough time to write a short letter.") > He said: read Tegmark (Everyt

Re: Some books on category and topos theory

2002-07-09 Thread Bruno Marchal
Wei Dai asks some question to Tim May which I would like to comment taking into account some other posts. Wei Dai: >Suppose I had the time for only one book, which would you recommend? I think you (Wei) decide to look for the book by Lawvere. Good choice but you should know it is just an intro

Re: Some books on category and topos theory

2002-07-07 Thread Wei Dai
Hi Tim, it's really interesting to see you here. (For those who don't know, I knew Tim from the cypherpunks mailing list. Hal Finney was an active member of the list as well. See http://www.activism.net/cypherpunk/crypto-anarchy.html if you're wondering what a cypherpunk is.) Two of the most p

Re: Some books on category and topos theory

2002-07-05 Thread Tim May
On Friday, July 5, 2002, at 01:16 PM, Tim May wrote: > The category and topos theory books I actually _own_ (bought through > Amazon) are: > > Oops! I left out one of the most important and accessible of the books I have and recommend: * McLarty, Colin, "Elementary Categories, Elementary Top

Some books on category and topos theory

2002-07-05 Thread Tim May
On Friday, July 5, 2002, at 10:54 AM, Bruno Marchal wrote: > But, perhaps more importantly at this stage I must recall the book > "Mathematics of Modality" by Robert Goldblatt. It contains fundamental > papers on which my "quantum" derivation relies. I mentionned it a lot > some time ago. > And