Sheaf Theory, Probability and Topology
See Popper's Non-dualist Theory of Objective Knowledge and the remark Popper made in 1977 about abstract invariants being causally efficient: I think that these considerations tell us a lot about natural selection. While Darwin still worried that he could not explain variation, and while he felt uneasy about being forced to look at it as chancelike, we can now see that the chancelike character of mutations, which may go back to quantum indeterminacy, explains how the abstract invariances of the environment, the somewhat abstract selection pressures, can, by selection, have a downward effect on the concrete living organism — an effect that may be amplified by a long sequence of generations linked by heredity. See Samson Abramsky's talk on Quantum Monads in Martin Elsman - Deriving a Kronecker-Free Functional Quantum Simulator where he explains the sheaf-theory approach to contextuality in Quantum Mechanics: See The Sheaf-Theoretic Structure Of Non-Loca...