Jon I can't even find MacLane's book for sale anywhere, at any price. Oh well, I need to read Lawvere anyway.
Frank On Fri, May 29, 2020 at 11:17 AM Jon Zingale <[email protected]> wrote: > Frank, Steve, > > My favored approach is to say that *space is like a manifold*. > For me, space is a *thing* and a manifold is an *object*. The former > I can experience free from my models of it, I can continue to > learn facts(?) about space not derived by deduction alone > (consider Nick's posts on inductive and abductive reasoning). > I concede here that we talk about an objectified space, but > I am not intending to. I am using the term space as a place- > holder for the thing I am physically moving about in. OTOH > manifolds are fully *objectified*, they exist by virtue of their > formality. Any meaningful question *about a manifold* itself > is derived deductively from its construction. Neither in their > own right are metaphors, the metaphor is created when we > treat space *as if it were* a manifold. Just my two cents. > > At the beginning of MacLane's *Geometrical Mechanics,* (a book > I have held many times, but never found an inexpensive copy > to buy) MacLane opens his lecture's with '*The slogan is: Kinetic* > *energy is a Riemann metric on configuration space*'. What a baller. > > Glen, > > I love that you mention the <placeholder>, ultimately reducing > the argument to a *snowclone*. Because the title of the thread > actually implicates a discussion of metaphor, and because I may > have missed your point about *xyz,* please allow me this question. > Do you feel that *snowclones* are necessarily templates for making > metaphors, or do you feel that a snowclone is somehow different? > > Jon > > -- --- .-. . .-.. --- -.-. -.- ... -..-. .- .-. . -..-. - .... . -..-. . > ... ... . -. - .. .- .-.. -..-. .-- --- .-. -.- . .-. ... > FRIAM Applied Complexity Group listserv > Zoom Fridays 9:30a-12p Mtn GMT-6 bit.ly/virtualfriam > un/subscribe http://redfish.com/mailman/listinfo/friam_redfish.com > archives: http://friam.471366.n2.nabble.com/ > FRIAM-COMIC http://friam-comic.blogspot.com/ > -- Frank Wimberly 140 Calle Ojo Feliz Santa Fe, NM 87505 505 670-9918
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