Tag Archives: Mathematics

History, Its Arc, Its Tangents • 1

Posted on December 18, 2019 by Jon Awbrey

Re: Renaissance Mathematicus • Both Sides of History I do not pretend to understand the moral universe; the arc is a long one, my eye reaches but little ways; I cannot calculate the curve and complete the figure by the … Continue reading →

Posted in History of Science, Inquiry, Mathematics, Science, Theodore Parker, Thony Christie | Tagged , , , , , | 1 Comment

Cybernetics • Regulation In Biological Systems • Discussion 3

Posted on December 10, 2019 by Jon Awbrey

Re: Cybernetics • Faisal L. Kadri Maybe it will help to say a few things about the way forward … I’ll be getting back to Ashby’s text directly — it’s still the best guide I’ve found to the rudiments of … 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 , , , , , , , , , , , , , , , , , | 7 Comments

Higher Order Sign Relations • Discussion 1

Posted on December 4, 2019 by Jon Awbrey

Re: FB | Charles S. Peirce Society • John Corcoran Questions about the proper treatment of use and mention from the standpoint of Peirce’s theory of signs came up recently in discussions on Facebook.  In pragmatic semiotics the trade‑off between … Continue reading →

Posted in Arithmetization, C.S. Peirce, Gödel Numbers, Higher Order Sign Relations, Inquiry, Inquiry Driven Systems, Inquiry Into Inquiry, Logic, Mathematics, Quotation, Reflection, Reflective Interpretive Frameworks, Semiotics, Sign Relations, Triadic Relations, Use and Mention, Visualization | Tagged , , , , , , , , , , , , , , , , | 10 Comments

Cybernetics • Regulation In Biological Systems • Selection 8

Posted on November 27, 2019 by Jon Awbrey

We want to understand how a species of organisms might evolve:  (1) organic means of storing formal structures capable of bearing information about an organism’s state in the world, and (2) faculties for developing artificial extensions of those means.  Keeping that goal … 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 , , , , , , , , , , , , , , , , , | 7 Comments

Cybernetics • Regulation In Biological Systems • Discussion 2

Posted on November 24, 2019 by Jon Awbrey

Re: Systems Science • Jack Ring In the last selection we found Ashby making what may strike us initially as a surprising inference.  Starting from the assumption that “an essential function of as a regulator is that it shall block … 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 , , , , , , , , , , , , , , , , , | 7 Comments

Cybernetics • Regulation In Biological Systems • Selection 7

Posted on November 23, 2019 by Jon Awbrey

Let’s pick up the observation Ashby made at the end of the last selection, regarding the job of a regulator, and continue with his text from there. Regulation In Biological Systems Survival 10/6.[cont.]   If is a regulator, the insertion … 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 , , , , , , , , , , , , , , , , , | 9 Comments

Cybernetics • Regulation In Biological Systems • Selection 6

Posted on November 22, 2019 by Jon Awbrey

Regulation In Biological Systems Survival 10/6.   Regulation blocks the flow of variety.   On what scale can any particular mechanism be measured for its value or success as a regulator?  The perfect thermostat would be one that, in spite … 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 , , , , , , , , , , , , , , , , , | 9 Comments

Cybernetics • Regulation In Biological Systems • Discussion 1

Posted on November 20, 2019 by Jon Awbrey

Re: Ontolog Forum • Jon Awbrey • Paola Di Maio JA: We continue in pursuit of a system-theoretic answer to the question:  What are formalisms and all their embodiments in brains and computers good for? PDM: Could you also provide … 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 , , , , , , , , , , , , , , , , , | 6 Comments

Cybernetics • Regulation In Biological Systems • Selection 5

Posted on November 18, 2019 by Jon Awbrey

Regulation In Biological Systems Survival 10/5.[concl.]   To make the assumptions clear, here are some simple cases, as illustration.  (Inanimate regulatory systems are given first for simplicity.) (1) The thermostatically-controlled water-bath.  is its temperature, and what is desired is the … 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 , , , , , , , , , , , , , , , , , | 6 Comments

Cybernetics • Regulation In Biological Systems • Selection 4

Posted on November 17, 2019 by Jon Awbrey

Regulation In Biological Systems Survival 10/5.[cont.]   Now regard the system as one of parts in communication.  In the previous section the diagram of immediate effects (of cat and mouse) was (or could be regarded as) We are now considering the … 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 , , , , , , , , , , , , , , , , , | 6 Comments