Category Archives: Mathematics

Pragmatic Semiotic Information • Discussion 19

Re: Differential Logic and Dynamic Systems Re: FB | Systems Sciences • Kenneth Lloyd An exchange on Facebook took me back to recent discussions of pragmatic truth and long-running discussions of pragmatic semiotic information.  Just by way of a note … Continue reading

Posted in Abduction, Aristotle, C.S. Peirce, Comprehension, Deduction, Definition, Determination, Extension, Hypothesis, Induction, Inference, Information, Information = Comprehension × Extension, Inquiry, Intension, Intention, Logic, Logic of Science, Mathematics, Measurement, Observation, Peirce, Perception, Phenomenology, Physics, Pragmatic Semiotic Information, Pragmatism, Probability, Quantum Mechanics, Scientific Method, Semiotics, Sign Relations | Tagged , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , | Leave a comment

Cybernetics • Requisite Variety • Selection 13

Our venture into cybernetics, the study of systems whose time evolution signifies an object, brings us to the point of seeing how pragmatic, semiotic, and systems thinking all have triadic relations at their core. Recall the game between and determined by … Continue reading

Posted in Adaptive Systems, Ashby, C.S. Peirce, Communication, Control, Cybernetics, Evolution, Information, Inquiry Driven Systems, Learning, Logic, Mathematics, Peirce, Purpose, Regulation, Survival, Truth Theory, W. Ross Ashby | Tagged , , , , , , , , , , , , , , , , , | Leave a comment

Cybernetics • Requisite Variety • Selection 12

Ashby now invites us to consider a series of games, beginning as follows. Requisite Variety 11/3.   Play and outcome.  Let us therefore forget all about regulation and simply suppose that we are watching two players, and who are engaged … Continue reading

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Differential Logic • Comment 4

Re: Cybernetic Communications • Stephen Paul King SPK: Is it possible that beliefs can propagate almost completely contrary to facts, seen by those that are not infected with those beliefs? Can we have complex waves in the domains of binary truth … Continue reading

Posted in Amphecks, Boole, Boolean Algebra, Boolean Functions, C.S. Peirce, Cactus Graphs, Cybernetics, Differential Analytic Turing Automata, Differential Logic, Discrete Dynamical Systems, Fixation of Belief, Graph Theory, Hill Climbing, Hologrammautomaton, Inquiry, Laws of Form, Leibniz, Logic, Logical Graphs, Mathematics, Minimal Negation Operators, Painted Cacti, Peirce, Propositional Calculus, Propositional Equation Reasoning Systems, Spencer Brown | Tagged , , , , , , , , , , , , , , , , , , , , , , , , ,

Cybernetics • Requisite Variety • Selection 11

Ashby now takes a few steps back from the picture of regulation in biological systems, setting out the framework he needs for a broader perspective on regulation in general. Requisite Variety 11/1.   In the previous chapter we considered regulation … Continue reading

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Cybernetics • Regulation In Biological Systems • Selection 10

Regulation In Biological Systems Survival 10/7.[concl.]   When considering this second form [of defence] we should be careful to notice the part played by information and variety in the process.  The fencer must watch his opponent closely, and he must gain … Continue reading

Posted in Adaptive Systems, Ashby, C.S. Peirce, Communication, Control, Cybernetics, Evolution, Information, Inquiry Driven Systems, Learning, Logic, Mathematics, Peirce, Purpose, Regulation, Survival, Truth Theory, W. Ross Ashby | Tagged , , , , , , , , , , , , , , , , , | Leave a comment

Cybernetics • Regulation In Biological Systems • Selection 9

Studies of intelligent systems, natural or artificial, tend to focus on dynamic models or symbolic models, rarely both, finding it difficult to integrate the two.  But here we are asking the synthetic question — How does a cybernetic system come … Continue reading

Posted in Adaptive Systems, Ashby, C.S. Peirce, Communication, Control, Cybernetics, Evolution, Information, Inquiry Driven Systems, Learning, Logic, Mathematics, Peirce, Purpose, Regulation, Survival, Truth Theory, W. Ross Ashby | Tagged , , , , , , , , , , , , , , , , , | Leave a comment