[FRIAM] Metaphor [POSSIBLE DISTRACTON FROM]: privacy games

Frank Wimberly wimberly3 at gmail.com
Sat May 30 10:59:01 EDT 2020


Excellent, Jon.

On that basis, in answer to Nick's claim that I have never seen a right
triangle, here's a classic one

{(0, 0), (1,0), (0,1)}

and here's a manifold

{(x,y,z) in R^3: x*x+y*y+z*z = 1} where the open sets are the open sets of
S^2.

Note these are not physical objects.

---
Frank C. Wimberly
140 Calle Ojo Feliz,
Santa Fe, NM 87505

505 670-9918
Santa Fe, NM

On Fri, May 29, 2020, 11:17 AM Jon Zingale <jonzingale at gmail.com> 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
>
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