Jan 27, 2020
Most of von Neumann’s mathematics—rings of operators, continuous geometries, matrices of high finite order—was undertaken to find a satisfying philosophy upon which to found quantum theory. (Boolean algebra over sets is incompatible with Heisenberg uncertainty.) von Neumann confessed to Ulam that he had failed to find a philosophically satisfying basis for QM.
Gian-Carlo Rota, Husserl and the reform of logic
(reworded by me)
#Edmund Husserl#rings of operators#John von Neumann#Werner Heisenberg#Boolean algebra#quantum mechanics#ring theory#rings#Platonic ideal#operators#topos theory#operator theory#linear operators#bounded continuous linear operators#QM#philosophy#Mark Kac#Gian-Carlo Rota#continuous#geometry#logic#matrix#matrices#linear algebra#linear#George Boole#algebra#Boolean#uncertainty principle#Heisenberg uncertainty
