Assumptions of Physics - From Classical Mechanics to Field Theory
13:13 How do you define volume in an infinite dimensional phase space on a finite whiteboard ? 1:05:39 I enjoyed listening to this discussion. Thanks to everyone who took part. I was thinking about causal sets as modeling those second countable collections of empirically verifiable statements. That may not be how Sorkin sees it though! See Geometry from order: causal sets . Subscribe to Assumptions of Physics . See also this discussion with Urs Schreiber on Gauge fields and configuration spaces at 44:33 . The earlier discussion he referred to on differential geometry and compact spaces is at 17:05 He's saying that you do not want to restrict physics to describing only compact spaces. But you do want to restrict observations to compact spaces. At 26:03 you can get a coherent notion of field configuration spaces in a topos. 35:37 William Lawvere's early career in physics. See also Vladimir Voevodsky - What if Current Foundations of Ma...