[eu-gene] the general
orangerobot at hotmail.com
Thu Jan 8 17:27:47 GMT 2009
Stating that visual perspective has mathematical foundations does not prove that "mathematics is essential to the practice of [an] art". Art is also bound by the laws of physics and chemistry--as is the entire universe. It is vacuously true and becomes meaningless.
> Date: Thu, 8 Jan 2009 11:43:20 -0500> From: michael.gogins at gmail.com> To: eu-gene at generative.net> Subject: Re: [eu-gene] the general> > Insofar as mathematics is essential to the practice of an art, as it> is in musical counterpoint or visual perspective, objective external> verification is equally crucial (though, usually, taken by granted by> practitioners who need to get things right, but are not usually> involved in advancing the state of that mathematical aspect of their> art).> > In other words, notions of proof and verification, although less> formal than in academic mathematics, certainly do exist in the> technical aspect of some of the arts. In Western harmony, e.g., a> composer will instantly hear whether a progression follows "the rules"> and will applaud a novel means of following those rules that leads in> an expected but satisfying direction. "Cool changes, man." This is> entirely analogous to proving a new theorem in mathematics. And a> musicologist will be able to demonstrate how and why "the rules" are> followed - or not.> > Regards,> Mike> > On Thu, Jan 8, 2009 at 11:12 AM, Philip Galanter> <list at philipgalanter.com> wrote:> >> > I was mostly just looking for an excuse to say "math math" and "art> > art." ;)> >> > But the more serious point I would make is that while mathematical> > structures appear in art, and while there can even be a meaningful> > discussion of the "aesthetics" of mathematical proofs and the like, as> > *disciplines* math and art are quite different. Each is a different> > game with different rules. In mathematics objective external> > verification is absolutely crucial. Conjectures are all well and> > good, but real mathematical progress is made when a mathematician> > constructs proofs and other mathematicians can verify them. In art> > notions of proof and objective external verification don't really> > apply.> >> > --> > '"generative" is where you lose control of a machine which does exactly> > what you tell it.'> > To unsubscribe from eu-gene visit> > http://www.generative.net/mailman/listinfo/eu-gene> >> > > > -- > Michael Gogins> Irreducible Productions> Michael dot Gogins at gmail dot com> -- > '"generative" is where you lose control of a machine which does exactly> what you tell it.'> To unsubscribe from eu-gene visit> http://www.generative.net/mailman/listinfo/eu-gene
-------------- next part --------------
An HTML attachment was scrubbed...
More information about the eu-gene