Author Archives: Jon Awbrey

Relations & Their Relatives • Discussion 7

Posted on June 28, 2015 by Jon Awbrey

Re: Peirce List Discussion • Jim Willgoose Here is the series of blog posts on Chapter 3 (The Logic of Relatives) from Peirce’s 1880 “Algebra of Logic” up to the point where I left off on May Day. Preliminaries Selections … Continue reading →

Posted in Logic, Logic of Relatives, Mathematics, Peirce, Peirce List, Relation Theory, Semiotics, Sign Relations, Tertium Quid, Thirdness, Triadic Relations, Triadicity | Tagged , , , , , , , , , , , | 13 Comments

My Thematics • 2

Posted on June 28, 2015 by Jon Awbrey

Communication is so much harder Than mere invention or discovery. Will they have in mind what I have in mind? Will I find the signs?   Will I have the time? There is so much shadow there must be light!

Posted in Anthem, Anthematics, Communication, Discovery, Inquiry, Invention, Mantra, Mathematics, Meditation, Morpheus, Morphism, Mythematics, Nostalgebra, Nostalgia, Reflection, Semeiosis, Semiosis, Semiotics | Tagged , , , , , , , , , , , , , , , , , | 1 Comment

My Thematics • 1

Posted on June 26, 2015 by Jon Awbrey

I miss the days I’d spend my days And nights dreaming mathematics

Posted in Anthem, Anthematics, Mathematics, Morpheus, Morphism, Mythematics, Nostalgebra, Nostalgia | Tagged , , , , , , , | 1 Comment

Relations & Their Relatives • Discussion 6

Posted on June 19, 2015 by Jon Awbrey

Re: Peirce List Discussion • Helmut Raulien In discussing Peirce’s concept of a triadic sign relation as existing among objects, signs, and interpretant signs the question arises whether any of the classes so related are classes by themselves, that is, … Continue reading →

Posted in C.S. Peirce, Logic, Logic of Relatives, Mathematics, Peirce, Peirce List, Relation Theory, Semiotics, Sign Relations, Tertium Quid, Thirdness, Triadic Relations, Triadicity | Tagged , , , , , , , , , , , , | 11 Comments

Information Resistance • Ω

Posted on June 10, 2015 by Jon Awbrey

The hardest thing to understand about information is people’s resistance to it.

Posted in Anamnesis, Information, Information Resistance, Inquiry, Meditation, Reflection, Resistance | Tagged , , , , , , | 3 Comments

Signs Of Signs • 4

Posted on May 31, 2015 by Jon Awbrey

Re: Michael Harris • Language About Language But then inevitably I find myself wondering whether a proof assistant, or even a formal system, can make the distinction between “technical” and “fundamental” questions.  There seems to be no logical distinction.  The … Continue reading →

Posted in Aesthetics, C.S. Peirce, Category Theory, Coherentism, Communication, Connotation, Form, Formal Languages, Foundations of Mathematics, Higher Order Propositions, Illusion, Inquiry, Inquiry Into Inquiry, Interpretation, Interpretive Frameworks, Logic, Mathematics, Objective Frameworks, Objectivism, Pragmatic Semiotic Information, Pragmatics, Pragmatism, Recursion, Reflection, Semantics, Semiotics, Sign Relations, Syntax, Translation, Triadic Relations, Type Theory | Tagged , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , | 3 Comments

Signs Of Signs • 3

Posted on May 27, 2015 by Jon Awbrey

Re: Michael Harris • Language About Language And if we don’t [keep our stories straight], who puts us away? One’s answer, or at least one’s initial response to that question will turn on how one feels about formal realities.  As … Continue reading →

Posted in Aesthetics, C.S. Peirce, Category Theory, Coherentism, Communication, Connotation, Form, Formal Languages, Foundations of Mathematics, Higher Order Propositions, Illusion, Inquiry, Inquiry Into Inquiry, Interpretation, Interpretive Frameworks, Logic, Mathematics, Objective Frameworks, Objectivism, Pragmatic Semiotic Information, Pragmatics, Pragmatism, Recursion, Reflection, Semantics, Semiotics, Sign Relations, Syntax, Translation, Triadic Relations, Type Theory | Tagged , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , | 1 Comment

Signs Of Signs • 2

Posted on May 27, 2015 by Jon Awbrey

Re: Michael Harris • Language About Language I compared mathematics to a “consensual hallucination,” like virtual reality, and I continue to believe that the aim is to get (consensually) to the point where that hallucination is a second nature. I … Continue reading →

Posted in Aesthetics, C.S. Peirce, Category Theory, Coherentism, Communication, Connotation, Form, Formal Languages, Foundations of Mathematics, Higher Order Propositions, Illusion, Inquiry, Inquiry Into Inquiry, Interpretation, Interpretive Frameworks, Logic, Mathematics, Objective Frameworks, Objectivism, Pragmatic Semiotic Information, Pragmatics, Pragmatism, Recursion, Reflection, Semantics, Semiotics, Sign Relations, Syntax, Translation, Triadic Relations, Type Theory | Tagged , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , | 1 Comment

Signs Of Signs • 1

Posted on May 27, 2015 by Jon Awbrey

Re: Michael Harris • Language About Language There is a language and a corresponding literature treating logic and mathematics as related species of communication and information gathering, namely, the pragmatic‑semiotic tradition transmitted through the lifelong efforts of C.S. Peirce.  It is … Continue reading →

Posted in Aesthetics, C.S. Peirce, Category Theory, Coherentism, Communication, Connotation, Form, Formal Languages, Foundations of Mathematics, Higher Order Propositions, Illusion, Inquiry, Inquiry Into Inquiry, Interpretation, Interpretive Frameworks, Logic, Mathematics, Objective Frameworks, Objectivism, Pragmatic Semiotic Information, Pragmatics, Pragmatism, Recursion, Reflection, Semantics, Semiotics, Sign Relations, Syntax, Translation, Triadic Relations, Type Theory | Tagged , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , | 1 Comment

Animated Logical Graphs • 9

Posted on May 24, 2015 by Jon Awbrey

Re: Ken Regan • The Shapes of Computations The insight it takes to find a succinct axiom set for a theoretical domain falls under the heading of abductive or retroductive reasoning, a knack as yet refractory to computational attack, but … Continue reading →

Posted in Amphecks, Animata, Boolean Algebra, Boolean Functions, C.S. Peirce, Cactus Graphs, Constraint Satisfaction Problems, Deduction, Diagrammatic Reasoning, Duality, Equational Inference, Graph Theory, Laws of Form, Logic, Logical Graphs, Mathematics, Minimal Negation Operators, Model Theory, Painted Cacti, Peirce, Proof Theory, Propositional Calculus, Propositional Equation Reasoning Systems, Spencer Brown, Theorem Proving, Visualization | Tagged , , , , , , , , , , , , , , , , , , , , , , , , , | 11 Comments