[FRIAM] To repeat is rational, but to wander is transcendent

Nicholas Thompson thompnickson2 at gmail.com
Fri Mar 25 23:12:11 EDT 2022


I apologize for the two insane messages I sent to Jon and to the list I had thought my dictation was better than it actually was. The basic idea was that the aggregate/density of distinction is not a distinction: iE, the two words refer to the same thing. However the intensive/ emergent pairing refers to two quite different concepts so we have not a 2 x 2 table but a 2 x 2 x 2 cube.


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On Mar 25, 2022, at 5:41 PM, Nicholas Thompson <thompnickson2 at gmail.com> wrote:



Let me take one more step in this analysis. Psychologists like to analyze things in 2 x 2 tables so what about the 2 x 2 table that relates the intensive extensive distinction in the aggregate emerging distinction. The upper left so is easy so let’s begin there. It seems to me that aggregate properties and extensive properties are, you’ll pardon the expression clothes, call extensive that is they are one in the same. Any property that is sensitive only to the number of components in the system will vary with the size of the system. So I think we can salt That away. Then, the The only real question then what is the relationship between an emergent property and intensive one. It now seems to me, forced to think hard about it, that the two are entirely orthogonal that we can shuffle the parts around and change the property of the group drastically without changing its mass at all for instance sorry without changing its density. Well either, For that matter.   that’s as much as I will force you to endure today. I hope you guys can find a way to enjoy this glorious day!

Sent from my Dumb Phone

On Mar 24, 2022, at 4:16 PM, Jon Zingale <jonzingale at gmail.com> wrote:


https://en.wikipedia.org/wiki/No-wandering-domain_theorem

https://www.youtube.com/watch?v=DQkZVPU2txg&ab_channel=TheAbelPrize

Been thinking about fractals and analytic continuations for recursive algorithms, lately. I would love to read some thoughts.

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