<html><head><meta http-equiv="content-type" content="text/html; charset=utf-8"></head><body dir="auto"><div><br></div>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!<div><br><div dir="ltr">Sent from my Dumb <span style="font-size: 17pt;">Phone</span></div><div dir="ltr"><br>On Mar 24, 2022, at 4:16 PM, Jon Zingale <jonzingale@gmail.com> wrote:<br><br></div><div dir="ltr"><div dir="ltr"><div class="gmail_default" style="font-family:verdana,sans-serif;font-size:small;color:#333333"><a href="https://en.wikipedia.org/wiki/No-wandering-domain_theorem">https://en.wikipedia.org/wiki/No-wandering-domain_theorem</a><br></div><div class="gmail_default" style="font-family:verdana,sans-serif;font-size:small;color:#333333"><br></div><div class="gmail_default" style="font-family:verdana,sans-serif;font-size:small;color:#333333"><a href="https://www.youtube.com/watch?v=DQkZVPU2txg&ab_channel=TheAbelPrize">https://www.youtube.com/watch?v=DQkZVPU2txg&ab_channel=TheAbelPrize</a><br></div><div class="gmail_default" style="font-family:verdana,sans-serif;font-size:small;color:#333333"><br></div><div class="gmail_default" style="font-family:verdana,sans-serif;font-size:small;color:#333333">Been thinking about fractals and analytic continuations for recursive algorithms, lately. I would love to read some thoughts.</div></div>
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