My paper applying logic-based probability (LBP) to mathematical physics was just published, and is entitled "Magnetic monopoles, massive neutrinos and gravitation via logic-experimental unification theory (LEUT) and Kursunoglu's theory," pages 89-97 of the volume Quantum Gravity, Generalized Theory of Gravitation, and Superstring Theory-Based Unification, Editors B. N. Kursunoglu (Ph.D. from Cambridge University under Professor Paul Dirac), S. L. Mintz, and A. Perlmutter, Kluwer Academic/Plenum: New York 2000. The relevance of LBP to categories is largely in its ability to generalize across categories, which it shares with Clifford algebra/octonions/Grassmann algebra (Bayliss, Crawford, Chisholm, Pezzaglia, Hestenes, Benn, Okubo, etc.) and in string theory with the orientation of S. Weinberg. Much of the generalizing work has been done since the above paper, and hopefully I will be able to succinctly present some of it here in future. I will say in preview that LBP isolates the transition from division to subtraction (often ignored by other fields) and keeps track of logic-algebra relationships and I regard these as a major source of its ability to transcend categories and apply across disciplines. Most of the people cited above also have unusual tolerance for new ideas, even those which disagree with their own theories and those of the majority of theorists. I like to think of at as partly a great sensitivity to the past, present, and future - not just to one of them. Osher Doctorow
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Osher Doctorow