See Assumptions of Physics - Symplectic Group and Uncertainty . Subscribe to About Logic . Lawvere on the Dialectic of the Continuous and Discrete. Talk given at Nancy, France 26-29 July 2011. See Lawvere's 1966 The Category of Categories as a Foundation for Mathematics . See Lawvere's Cohesive Toposes and Cantor's 'iaufcer Einsen' ( cf. my "vague inkling" about cardinality in Frederic Schuller on Metric and Topological Spaces ) and cohesive topos in nlab . 16:57 On structures and cohesion, with Lie groups as an example. See Anthony Bordg and Nicolò Cavalleri Elements of Differential Geometry in Lean . 1:03:12 On applications to dynamical theory. See Toposes of laws of motion in nlab and this transcript of a 1997 lecture given in Montreal. 1:08:54 He goes back to talking about Frege and the idea, from correspondence with Peano, that certain atomic subsets have properties. Subscribe t...