Re: [FRIAM] Rosen, and mapping

2008-08-09 Thread Carl Tollander
Agreed. Nobody convinced me that Rosen was ever really doing category theory anyhow. If all you need is the category Set, why mobilize algebraic topology? Leave the hyper-dimensional warp drive in the garage. Russell Standish wrote: > The standard language of maps (aka functions) over sets

Re: [FRIAM] Rosen, and mapping

2008-08-09 Thread Ken Lloyd
Nick, See: http://math.ucr.edu/home/baez/rosetta.pdf It relates category theory with mathematical topology, physics, logic and programming. Ken _ From: [EMAIL PROTECTED] [mailto:[EMAIL PROTECTED] On Behalf Of Nicholas Thompson Sent: Saturday, August 09, 2008 8:58 PM To: friam@redf

Re: [FRIAM] Rosen, and mapping

2008-08-09 Thread Russell Standish
The standard language of maps (aka functions) over sets will give you want you want. Category theory is not needed. On Sat, Aug 09, 2008 at 08:58:02PM -0600, Nicholas Thompson wrote: > Roseners, and anybody else vaguely interested in category theory. > > Rosen seems to be interested in situatio

Re: [FRIAM] 1. Re: Rosen, Life Itself (Marcus G. Daniels)

2008-08-09 Thread Nicholas Thompson
I am not so sanguine about what I think of as word collage. I know it is old fashioned, but I am REALLY (now I _am_shouting) committed to the notion that the test of communication is how well one has been understood, not whether one has used the words that make one proud. Nick Nicholas S. Th

[FRIAM] Rosen, and mapping

2008-08-09 Thread Nicholas Thompson
Roseners, and anybody else vaguely interested in category theory. Rosen seems to be interested in situations in which A maps to B but not all the values in B can be generated by the mapping. this is a lot like the Intension and the Extension of an utterance. I say with assurance that Mrs.

Re: [FRIAM] 1. Re: Rosen, Life Itself (Marcus G. Daniels)

2008-08-09 Thread Phil Henshaw
Interesting observation. That's rather common in how conversations and languages evolve I think, reusing pieces snatched from old ones, without the whole. In culture the 'compost' is very nutritious. Natural systems, biology and economies often find new uses for the compost of prior constructs l