Author Archives: Jon Awbrey

Ask Meno Questions • Discussion 4

Posted on October 19, 2017 by Jon Awbrey

Re: FB | Foundations of Mathematics • Oguzhan Kosar The questions raised under the heading of “Foundations of Mathematics” are generally considered to fall under the “Philosophy of Mathematics”, in particular, critical reflection on the possibility of mathematical knowledge and … Continue reading →

Posted in Anamnesis, Arete, C.S. Peirce, Descartes, Education, Epistemology, Eternal Return, Foundations of Mathematics, Infinity, Innate Idea, Inquiry, Inquiry Driven Systems, Inquiry Into Inquiry, Knowledge, Learning, Locke, Logic, Mathematics, Medium = Message, Meno, Peirce, Philosophy of Mathematics, Plato, Pragmata, Pragmatism, Pythagoras, Recollection, Semiotics, Sign Relations, Socrates, Tabula Rasa, Teaching, Triadic Relations, Turing Test, Virtue | Tagged , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , | Leave a comment

¿Shifting Paradigms? • 6

Posted on October 17, 2017 by Jon Awbrey

Re: Peter Cameron • Infinity and Foundation C.S. Peirce is one who recognized the constitutional independence of mathematical inquiry, finding at its core a mode of operation tantamount to observation and more primitive than logic itself.  Here is one place … Continue reading →

Posted in Algorithms, Boole, C.S. Peirce, Combinatorics, Computation, Foundations of Mathematics, Inquiry, Laws of Form, Leibniz, Logic, Mathematics, Model Theory, Paradigms, Peirce, Proof Theory, Spencer Brown | Tagged , , , , , , , , , , , , , , , | Leave a comment

Pragmatic Traction • 6

Posted on October 15, 2017 by Jon Awbrey

Re: Peirce List Discussion • GF • JFS When it comes to the relative contributions of phenomenology and mathematics to logic, I always find myself returning to the picture I drew once before from Peirce’s Syllabus, on the relationship of phenomenology and … Continue reading →

Posted in C.S. Peirce, Control, Cybernetics, Definition, Determination, Fixation of Belief, Information, Inquiry, Inquiry Driven Systems, Logic, Logic of Science, Mathematics, Metaphysics, Normative Science, Peirce, Peirce's Categories, Phenomenology, Philosophy, Pragmatic Maxim, Pragmatism, Scientific Method, Semiotics, Volition | Tagged , , , , , , , , , , , , , , , , , , , , , , | 2 Comments

Sign Relational Manifolds • Discussion 1

Posted on October 10, 2017 by Jon Awbrey

Semiotic Orbits, Manifolds, Arcs The arc of the semiotic universe is long but it bends towards universal harmony. Re: FB | Semiotics, Books, Links, News • What’s at the End of a Chain of Interpretants? Semiotic manifolds, like physical and … Continue reading →

Posted in C.S. Peirce, Cybernetics, Differential Geometry, Differential Logic, Geometry, Interoperability, Logic, Manifolds, Mathematics, Riemann, Semiotics, Sign Relational Manifolds, Sign Relations, Triadic Relations, Visualization | Tagged , , , , , , , , , , , , , , | Leave a comment

Pragmatic Traction • 5

Posted on September 28, 2017 by Jon Awbrey

☯   TAO   ☯ Trials And Outcomes Expression | Impression Effectors | Receptors Exertion | Reaction Conduct | Bearing Control | Observe Effect | Detect Poke | Peek Note | Note Pat | Apt | Tap Pragmatism makes thinking … Continue reading →

Posted in Abduction, C.S. Peirce, Control, Cybernetics, Deduction, Error, Error-Controlled Regulation, Feedback, Fixation of Belief, Hypothesis, Induction, Inference, Information, Information Theory, Inquiry, Inquiry Driven Systems, Knowledge, Knowledge Representation, Learning, Learning Theory, Likelihood, Logic, Logic of Science, Logical Graphs, Peirce, Philosophy, Philosophy of Science, Pragmatic Information, Pragmatic Maxim, Pragmatism, Probability, Probable Reasoning, Scientific Inquiry, Scientific Method, Semiotics, Statistical Inference, Statistics, Uncertainty, Volition | Tagged , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , | Leave a comment

Pragmatic Traction • 4

Posted on September 27, 2017 by Jon Awbrey

Re: Oliver Maclaren • Statistics Without True Models Or Hypothesis Testing I once wrote a “pure empiricist” sequential learning program that took this sort of approach to the data in its input stream. Here is the manual, that will give … Continue reading →

Posted in Abduction, C.S. Peirce, Control, Cybernetics, Deduction, Error, Error-Controlled Regulation, Feedback, Fixation of Belief, Hypothesis, Induction, Inference, Information, Information Theory, Inquiry, Inquiry Driven Systems, Knowledge, Knowledge Representation, Learning, Learning Theory, Likelihood, Logic, Logic of Science, Logical Graphs, Peirce, Philosophy, Philosophy of Science, Pragmatic Information, Pragmatic Maxim, Pragmatism, Probability, Probable Reasoning, Scientific Inquiry, Scientific Method, Semiotics, Statistical Inference, Statistics, Uncertainty | Tagged , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , | Leave a comment

Pragmatic Traction • 3

Posted on September 25, 2017 by Jon Awbrey

Re: Deborah G. Mayo • Revisiting Popper’s Demarcation of Science I think Peirce would say that any struggle to pass from the irritation of doubt toward the settlement of belief is a form of inquiry — it’s just that some … Continue reading →

Posted in Abduction, C.S. Peirce, Control, Cybernetics, Deborah G. Mayo, Deduction, Error, Error-Controlled Regulation, Feedback, Fixation of Belief, Hypothesis, Induction, Inference, Information, Information Theory, Inquiry, Inquiry Driven Systems, Knowledge, Knowledge Representation, Learning, Learning Theory, Likelihood, Logic, Logic of Science, Peirce, Philosophy, Philosophy of Science, Pragmatic Information, Pragmatic Maxim, Pragmatism, Probability, Probable Reasoning, Scientific Inquiry, Scientific Method, Semiotics, Statistical Inference, Statistics, Uncertainty | Tagged , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , | Leave a comment

Pragmatic Traction • 2

Posted on September 16, 2017 by Jon Awbrey

Re: FB | Ecology of Systems Thinking • Richard Saunders I’m about to be diverted for a couple of weeks but this is an ever-ongoing question so I know I’ll be coming back to it again.  The short shrift goes … Continue reading →

Posted in Abduction, C.S. Peirce, Control, Cybernetics, Deborah G. Mayo, Deduction, Error, Error-Controlled Regulation, Feedback, Fixation of Belief, Hypothesis, Induction, Inference, Information, Information Theory, Inquiry, Inquiry Driven Systems, Knowledge, Knowledge Representation, Learning, Learning Theory, Likelihood, Logic, Logic of Science, Peirce, Philosophy, Philosophy of Science, Pragmatic Information, Pragmatic Maxim, Pragmatism, Probability, Probable Reasoning, Scientific Inquiry, Scientific Method, Semiotics, Statistical Inference, Statistics, Uncertainty | Tagged , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , | Leave a comment

Pragmatic Traction • 1

Posted on September 14, 2017 by Jon Awbrey

Re: Deborah G. Mayo • Peircean Induction and the Error-Correcting Thesis C.S. Peirce’s pragmatic maxim marks the place where the tire of theory meets the test track of experience — it tells us how general ideas are impacted by practical … Continue reading →

Posted in Abduction, C.S. Peirce, Control, Cybernetics, Deborah G. Mayo, Deduction, Error, Error-Controlled Regulation, Feedback, Fixation of Belief, Hypothesis, Induction, Inference, Information, Information Theory, Inquiry, Inquiry Driven Systems, Knowledge, Knowledge Representation, Learning, Learning Theory, Likelihood, Logic, Logic of Science, Peirce, Philosophy, Philosophy of Science, Pragmatic Information, Pragmatic Maxim, Pragmatism, Probability, Probable Reasoning, Scientific Inquiry, Scientific Method, Semiotics, Statistical Inference, Statistics, Uncertainty | Tagged , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , | Leave a comment

Minimal Negation Operators • 4

Posted on September 1, 2017 by Jon Awbrey

Note.  I’m including a more detailed definition of minimal negation operators in terms of conventional logical operations largely because readers of particular tastes have asked for it in the past.  But it can easily be skipped until one has a … Continue reading →

Posted in Amphecks, Animata, Boolean Functions, C.S. Peirce, Cactus Graphs, Differential Logic, Functional Logic, Graph Theory, Laws of Form, Logic, Logical Graphs, Mathematics, Minimal Negation Operators, Painted Cacti, Peirce, Propositional Calculus, Propositional Equation Reasoning Systems, Semiotics, Venn Diagrams, Visualization | Tagged , , , , , , , , , , , , , , , , , , , | 10 Comments