The ANPA guy most likely to get me to change my perspective is Michael Manthey, a CS professor whose recent patent on "space like computations" <https://patents.google.com/patent/US20160148110A1/en> extends beyond complex probabilities to quanternic probabilities. He would, I think tend to cast negative case counts as teleological:
"So the conclusion to the question 'What is the relationship between causality -- the explanation of events in terms of causes -- and teleology -- the explanation of events in terms of purposes?' is that both are true and equivalent accounts of reality, to the extent that the physical universe indeed has the structure U(1) × SU(2) × SU(3) × SO(4), which is the Standard Model of quantum mechanics augmented with an entangling projection into 3+1d via SO(4)." On Wed, Jan 6, 2021 at 3:41 PM James Bowery <jabow...@gmail.com> wrote: > I tend to see negative case counts as providing atomic action roll-backs > (in relational database state transition terms) -- kind of "undo" operation > -- but not necessarily to exactly the "prior" state. In physical/QM terms > they provide for time symmetric flow of information/causality -- permitting > the "future" to influence/constrain/cause the "past" in the case of > negative case counts. But I hasten to add, I differ with Kauffman and > most others in the Laws of Form/ANPA community on this (including Etter, > Shoup and even GS Brown himself). Everyone but me, it seems, either sees > space as primary OR sees spacetime as inseparably emergent as a whole. > > My tendency is more with Wagner: “You see, son, here time becomes space.” > > On Wed, Jan 6, 2021 at 2:38 PM Ben Goertzel <b...@goertzel.org> wrote: > >> Interesting, will reflect a bit on that... >> >> James, what is your interpretation of negative case counts, in this model? >> >> On Wed, Jan 6, 2021 at 11:57 AM James Bowery <jabow...@gmail.com> wrote: >> > >> > The correct link is on archive.org: >> > >> > >> https://web.archive.org/web/20130511044913/http://www.boundaryinstitute.org/bi/articles/Link_Theory_intro.pdf >> > >> > >> > >> > On Wed, Jan 6, 2021 at 1:17 PM James Bowery <jabow...@gmail.com> wrote: >> >> >> >> See Appendix A - Complex Case Counts for what qualifies as a dynamical >> logic's 4-valued (1, i, -1, -i) approach to deriving the core of quantum >> mechanics (complex probability amplitudes) as a theorem of the >> combinatorics of 4 real-valued, 2x2 spinor matrices. >> >> >> >> On Sat, Jan 2, 2021 at 1:47 PM Ben Goertzel <b...@goertzel.org> wrote: >> >>> >> >>> To kick off the new year ... here is Part 2 of a trilogy of papers I'm >> >>> working on ... >> >>> >> >>> "Paraconsistent Foundations for Probabilistic Reasoning, Programming >> >>> and Concept Formation >> >>> " >> >>> >> >>> https://arxiv.org/abs/2012.14474 >> >>> >> >>> this one grounds (key aspects of) PLN in paraconsistent logic, and >> >>> thus makes clearer the programming-language Curry-Howard cognate of >> >>> PLN (via the known prog-lang cognate of relevant sorts of >> >>> paraconsistent logic). Also some other related stuff like >> >>> paraconsistent Formal Concept Analysis... >> >>> >> >>> Part 3 (another paper) will sketchily represent the core OpenCog >> >>> cognitive algorithms as Galois connections involving >> >>> continuation-passing-style metagraph chronomorphisms , where the >> >>> metagraph targets are labeled w/ probabilistic/paraconsistent >> >>> dependent types as outlined in Part 2 ... >> >>> >> >>> But I will defer starting on that till I finish some work on the SNet >> >>> roadmap and related issues ... >> >>> >> >>> -- >> >>> Ben Goertzel, PhD >> >>> http://goertzel.org >> >>> >> >>> “Words exist because of meaning; once you've got the meaning you can >> >>> forget the words. How can we build an AGI who will forget words so I >> >>> can have a word with him?” -- Zhuangzhi++ >> > >> > Artificial General Intelligence List / AGI / see discussions + >> participants + delivery options Permalink >> >> -- >> Ben Goertzel, PhD >> http://goertzel.org >> >> “Words exist because of meaning; once you've got the meaning you can >> forget the words. How can we build an AGI who will forget words so I >> can have a word with him?” -- Zhuangzhi++ ------------------------------------------ Artificial General Intelligence List: AGI Permalink: https://agi.topicbox.com/groups/agi/T425c68f0cea319cd-M4a7130ed35763297e95b9cac Delivery options: https://agi.topicbox.com/groups/agi/subscription
