tag:blogger.com,1999:blog-11168555.post8625612656408975937..comments2023-12-06T05:57:52.380-05:00Comments on The Multiverse According to Ben: Quantum Voodoo in "Classical" Systems?Benhttp://www.blogger.com/profile/12743597120529571571noreply@blogger.comBlogger5125tag:blogger.com,1999:blog-11168555.post-9133927495380663002008-05-01T00:32:00.000-04:002008-05-01T00:32:00.000-04:00Both quantum logic and probalistic logic seem to b...Both quantum logic and probalistic logic seem to be special cases of topological logic. Basically, you can define a logic on either anything that has a group structure (for quantum logic, this is complex projective space; for probablistic logic, this is just a simplex) or anything that has a metric structure.<BR/><BR/>A simple, and easy-to-understand review is givein in the wikipedia article "quantum finite state machine".<BR/><BR/>http://en.wikipedia.org/wiki/Quantum_finite_automataAnonymousnoreply@blogger.comtag:blogger.com,1999:blog-11168555.post-19295412366005126912008-04-01T11:49:00.000-04:002008-04-01T11:49:00.000-04:00Dear Ben, as food for thought in this direction pl...Dear Ben, as food for thought in this direction please see Ignacio Matte Blanco's seminal work, The Unconscious as Infinite Sets; with perhaps the work of Gotthard Guenther on multivalued logics as _not_ intepreted relative to probabilities nor simple true-falsehood relations, as entrĂ©e -- or at least his immensely pithy "A logic is the metaphysical self-definition of a subject" as sauce; and if appetite permits, a veritable trolley of deserts can be recommended. Respectfully, Lauri<BR/><BR/>p.s. "metaphysical" in the above quotation ought be understood as nearer that alluded to by Wheelerian "pregeometry", than the hand-waving of postmodernists, modern or otherwise.Anonymousnoreply@blogger.comtag:blogger.com,1999:blog-11168555.post-63158875111433648032008-03-26T19:38:00.000-04:002008-03-26T19:38:00.000-04:00Nesov: Probabilistic logic is different from quant...Nesov: Probabilistic logic is different from quantum logic. Quantum logic lacks a distributive law, for one thing. Alternately, you can do quantum theory by preserving classical logic but moving to complex-number rather than real-number probabilities (cf Youssef). In any case, weird stuff.Ben Goertzelhttps://www.blogger.com/profile/01289041122724284772noreply@blogger.comtag:blogger.com,1999:blog-11168555.post-11512200246477347442008-03-26T18:50:00.000-04:002008-03-26T18:50:00.000-04:00im glad to see im not the only one who has pondere...im glad to see im not the only one who has pondered this kind of thinking, you've done it well, keep it up!!Anonymousnoreply@blogger.comtag:blogger.com,1999:blog-11168555.post-57596915895717602792008-03-25T22:17:00.000-04:002008-03-25T22:17:00.000-04:00Ben, how is it different from good old probabilist...Ben, how is it different from good old probabilistic logic that has classical logic (and computation) as special cases? You'd need to know which things you can't know in order to selectively reason about them in different logic...Vladimir Nesovhttps://www.blogger.com/profile/15368298711560413255noreply@blogger.com