Icon Index Symbol • 2

Questions Concerning Certain Faculties Claimed For Signs

Re: Peirce List Discussion • Jon Alan Schmidt

What class of Sign is a law of nature?

I’ve mentioned the following possibility several times before, but maybe not too recently.

A sign relation L is a subset of a cartesian product O \times S \times I, where O, S, I are the object, sign, interpretant domains, respectively.  In a systems-theoretic framework we may think of these domains as dynamical systems.

We often work with sign relations where S = I but it is entirely possible to consider sign relations where all three domains are one and the same.  Indeed, it could be the case that O = S = I = U, where the system U is the entire universe.  This would make the entire universe a sign of itself to itself.

A general way to understand a system-theoretic law is in terms of a constraint — the fact that not everything that might happen actually does.  And that is nothing but a subset relation.

So the law embodying how the universe represents itself to itself could be nothing other than a sign relation L \subseteq U \times U \times U.


This entry was posted in Abduction, Algorithms, Artificial Intelligence, Automated Research Tools, C.S. Peirce, Cognitive Science, Computer Science, Data Structures, Deduction, Functional Logic, Icon Index Symbol, Induction, Inquiry, Inquiry Driven Systems, Inquiry Into Inquiry, Intelligent Systems, Interpretive Frameworks, Knowledge Representation, Logic, Logic of Relatives, Logic of Science, Logical Graphs, Mathematics, Objective Frameworks, Peirce, Relation Theory, Relative Membership, Scientific Method, Semiotics, Set Theory, Sign Relations, Systems Theory, Triadic Relations and tagged , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , . Bookmark the permalink.

One Response to Icon Index Symbol • 2

  1. Pingback: Icon Index Symbol • 3 | Inquiry Into Inquiry

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