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Stephen Paul King
Senior Researcher
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On Nov 7, 2019, at 3:17 AM, Jason the Goodman <jasonth...@gmail.com> wrote:Dear Lou, would you define your "special kind" here - how specific it has to be? And, what kind of eigenform is not "a truth" for a dog/cat or for a robot? Could you please show me.
Best - Jason
On Wed, Nov 6, 2019 at 4:03 PM Louis H Kauffman <kauf...@uic.edu> wrote:Dear Jason,Eigenform is important way to formalize a kind of stability.Truth is a special kind of eigenform, not just any eigenform.Truth means the truth of a PROPOSITION about something.So we need to have a language involved and the notion that the propositions are talking about some domain where it is possible to check whether the proposition’s statement is correct.Best,LouOn Nov 7, 2019, at 2:59 AM, Jason the Goodman <jasonth...@gmail.com> wrote:Dear Lou,How about defining "truth" with "stability" of the coupling loop between "the object" and the cognitive system coupling with the "object"?If the process stabilizes and an eigenvalue of the loop emerges, we say "a truth" is found.This would refocus our attention from the "object" itself to the nature of the cognitive system, which may include animals and robots in addition to humans. My tentative way to upgrade from first-order thinking to the second-order thinking. Then, instead of searching for "truth", we search for the "Lyapunov potential function" for the situation if we could find one...What do you think?Best - Jason
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Jason Jixuan Hu, Ph.D.
Independent Research Scholar & Discussant
Club of REMY: www.clubofremy.com
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Chu Spaces and Channel Theory are well established areas of investigation in the general context of category theory. We review a range of examples and applications of these methods in logic and computer science, including Formal Concept Analysis, distributed systems and ontology development. We then employ these methods to describe human object perception, beginning with the construction of uncategorized object files and proceeding through categorization, individual object identification and the tracking of object identity through time. We investigate the relationship between abstraction and mereological categorization, particularly as these affect object identity tracking. This we accomplish in terms of information flow that is semantically structured in terms of local logics, while at the same time this framework also provides an inferential mechanism towards identification and perception. We show how a mereotopology naturally emerges from the representation of classifications by simplicial complexes, and briefly explore the emergence of geometric relations and interactions between objects.
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