[FRIAM] the cancellation arc

[Steve Smith]

My first thought in reading this (Glen and Jon in response/elaboration)
is that we are discussing whether the universe of comprehensions is
(fully) metrizeable or not.  I have some conjectures about (weighted)
graph and network metrization which may or may not have a play in
this.   I'm not enough of a math-hole to really properly think (much
less speak) about the higher order abstractions of topology that are
invoked/implied in all this...  

I'm also puzzled by the distinction between epi-phenomena and
phenomena.   I suspect the principals in this discussion here to be
using similar but different reserved terms from overlapping but distinct
lexicons.   My entirely intuitive/vernacular response to this is that it
feels like epi-phenomena "all the way down".  

Glen invoked "epi" as "nearly" and yet in vernacular use, I feel it
always carries the extra connotation of "on top of" or "in addition to"
or "composed with".   Cycles and epicycles in the copernican sense?  
Isn't the "billiard ball model" of molecular dynamics an "epiphenomen"
when compared to a quantum wave formulation of the "phenomenology of
particle physics"?

I'm probably not reading/thinking/expressing this nearly carefully
enough to be relevant.

bumble,

  - Steve

On 9/16/21 8:03 PM, Jon Zingale wrote:
> """
> Were M absolutely, perfectly faithful to W, there would be no
> epiphenomena in M. I.e. epiphenomena do not exist...
> """
>
> I read Glen as saying that the collection of all comprehensions forms
> a space equipped with a meaningful notion of distance, and that if one
> were to treat the space analytically, one can arrive at a satisfactory
> definition of local epiphenomena.
>
> For what it's worth, I still feel that free-constructions may be an
> insightful way to model epiphenomena, or maybe even (as in EricS's
> t-shirt post) the relationship that Lie groups have to their algebras.
>
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