John,
Thanks for this thread. If it doesn't wander too far off topic, it could be a profound conversation. I just finished reading a copy of One Magisterium: How Nature Knows Through Us by Sean O. Nuallain while flying to and from Tokyo over the last week. It made my head hurt, but reminded me of these points: Nicholas Rashevsky (father of reaction-diffusion equations) wrote a paper titled, in part: "Topology and Life" in 1954, in which he pointed out that we can tease open a living cell and count all its parts, but we cannot put it back together. He launched what he called Relational Biology, where he began to advocate for the primacy of relations not only among parts but between parts and their environment. His student Robert Rosen wrapped that concept into a commutating diagram he called the M-R System, Metabolism and repair, when in a diagram with the environment, commute to give reproduction, a model of a canonical organism which Rashevsky sought, starting with graph theory, then migrating to what Rashevsky called Organismic Set Theory. Rosen brought in category theory. O Nuallain said in a passage in his book, in part: worrying about the relations between parts and their environment is wrong. His book first gave me the impression that he is an extremely literate, but mean spirited scholar. In the end, I decided that he believes he needs to appear mean spirited to get people to think about what he is saying. The book is dense. Really dense, but I'm glad I read it. Still, my head hurts. Cheers, Jack
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