Hey I just noticed the coincidence between Manthey's reliance on Parseval's
Identity and my quote from Wagner!  Now we're onto something!

On Wed, Jan 6, 2021 at 4:07 PM James Bowery <[email protected]> wrote:

> 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 <[email protected]> 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 <[email protected]> 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 <[email protected]> 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 <[email protected]>
>>> 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 <[email protected]> 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++

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