Quaternions

[Keith Davis]

Looks fascinating. Thanks.

Www.innergroovemusic.com

> On Dec 3, 2018, at 10:18 PM, jody2.718 <jody2.718 at protonmail.com> wrote:
> 
> Thanks, it was interesting. Yanofski's version of universal chaos reminds me of Chaitin's "algorithmic complexity."
> 
> Chaitin's style is more egotistical and fun, though. Even if you don't get the math you can still enjoy Chaitin's antics and literary
> 
> pretensions. Yanofski's indictment of physicists for their dependence on the idea of symmetry is, I think, on the money
> 
> But he doesn't take it quite far enough for me. The anti-logical conclusion of such a notion would be that not only
> 
> are no two things/events equal (symmetrical), except maybe by accident, but also, no thing is exactly equal to itself! Or,
> 
> "A" does not equal "A," at some fraction of a second in the future, again, except by accident. Trying to make the two versions
> 
> of "A" exactly equal would be like achieving absolute zero and would require an infinite amount of energy, violating
> 
> the Third Law of Thermodynamics. Complete asymmetry or chaos, however, would also invalidate the law of the excluded middle.
> 
> Maybe not such a bad thing.
> 
> I think a more interesting but related question than whether or not the laws of nature are selected by physicists for their
> 
> symmetry relationships, is whether or not the universe at its most fundamental level is discrete or continuous.
> 
> Here's Chaitin's book "MetaMath" courtesy of U. Texas:
> https://www.cs.utexas.edu/~cannata/cs345/Class%20Notes/06%20Chaitin%20MetaMath.pdf
> 
> jody
> 
> -------------------------------------------------------------------------------------------------------------------------
> 
> This article does give one a better idea of what quaternions are in its discussion of the hierarchy of number systems
> 
> among a host of other cool things, most of which I’m trying to wrap my brain around and failing
> 
> rich
> http://m.nautil.us/issue/66/clockwork/chaos-makes-the-multiverse-unnecessary-rp
> 
> Sent with [ProtonMail](https://protonmail.com) Secure Email.
> --
> Pynchon-L: https://waste.org/mailman/listinfo/pynchon-l