Born to do Math 31 – Effective Theories & Set Theory
Author(s): Scott Douglas Jacobsen and Rick Rosner
Publication (Outlet/Website): Born To Do Math
Publication Date (yyyy/mm/dd): 2017/04/07
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Scott Douglas Jacobsen: When I was thinking about this theory we were talking about off tape, the new set theory. Usually, there is the labelling of things by letters: a, b, c; x, y, z. Those get clumped into two sets. Where the “a, b, c” is Set A, and the “x, y, z” is Set B, those together become Set A and Set B with an ampersand, &, or an “and” sign together, and can be made into a higher-order Set, C.
Those imply, simply by formalism, definite information, but if you could—
RR: —Yea, but even though nothing is definite, we couldcan use definite as a shortcut, definiteness as a short cut.
SDJ: Oh! I was going to get to that. Something a little bit new. So we list them (off tape) probability-by-probability on a chart. If one were to take that into context of effective theories in physics, so rather than describe every single aspect of every particle in a cloud, you describe basic physics and the math behind what makes a cloud works in interaction with stuff around it, and then you can make the set theory elements and the sub-sets effective theories themselves so that you can predict the effective theory of one hunk of cloud with another hunk of cloud. That might make it easier to simulate, if not easier to conceptualize.
RR: You mean one nebulous object interacting with another nebulous object.
SDJ: Yea! So you can have a lot of use of effective theories here.
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