Tag Archives: Semiotics

Relation Theory • Discussion 2

Posted on November 1, 2021 by Jon Awbrey

Re: Relation Theory • (1) • (2) • (3) • (4) Re: FB | Charles S. Peirce Society • Joseph Harry JH: These are iconic representations dealing with logical symbolic relations, and so of course are semiotic in Peirce’s sense, … Continue reading →

Posted in Algebra, Algebra of Logic, C.S. Peirce, Category Theory, Combinatorics, Discrete Mathematics, Duality, Dyadic Relations, Foundations of Mathematics, Graph Theory, Logic, Logic of Relatives, Mathematics, Peirce, Relation Theory, Semiotics, Set Theory, Sign Relational Manifolds, Sign Relations, Triadic Relations, Type Theory, Visualization | Tagged , , , , , , , , , , , , , , , , , , , , , | 9 Comments

Relation Theory • 5

Posted on October 31, 2021 by Jon Awbrey

Relation Theory Two further classes of incidence properties will prove to be of great utility. Regional Incidence Properties The definition of a local flag can be broadened from a point to a subset of a relational domain, arriving at the … Continue reading →

Posted in C.S. Peirce, Category Theory, Dyadic Relations, Logic, Logic of Relatives, Logical Graphs, Mathematics, Nominalism, Peirce, Pragmatism, Realism, Relation Theory, Semiotics, Sign Relations, Triadic Relations, Visualization | Tagged , , , , , , , , , , , , , , , | 10 Comments

Relation Theory • 4

Posted on October 30, 2021 by Jon Awbrey

Relation Theory • Local Incidence Properties The next few definitions of local incidence properties of relations are given at a moderate level of generality in order to show how they apply to -place relations.  In the sequel we’ll see what … Continue reading →

Posted in C.S. Peirce, Category Theory, Dyadic Relations, Logic, Logic of Relatives, Logical Graphs, Mathematics, Nominalism, Peirce, Pragmatism, Realism, Relation Theory, Semiotics, Sign Relations, Triadic Relations, Visualization | Tagged , , , , , , , , , , , , , , , | 11 Comments

Relation Theory • 3

Posted on October 29, 2021 by Jon Awbrey

Relation Theory • Definition It is convenient to begin with the definition of a -place relation, where is a positive integer. Definition.  A -place relation over the nonempty sets is a -tuple where is a subset of the cartesian product Several … Continue reading →

Posted in C.S. Peirce, Category Theory, Dyadic Relations, Logic, Logic of Relatives, Logical Graphs, Mathematics, Nominalism, Peirce, Pragmatism, Realism, Relation Theory, Semiotics, Sign Relations, Triadic Relations, Visualization | Tagged , , , , , , , , , , , , , , , | 11 Comments

Relation Theory • 2

Posted on October 28, 2021 by Jon Awbrey

Relation Theory • Preliminaries Two definitions of the relation concept are common in the literature.  Although it is usually clear in context which definition is being used at a given time, it tends to become less clear as contexts collide, … Continue reading →

Posted in C.S. Peirce, Category Theory, Dyadic Relations, Logic, Logic of Relatives, Logical Graphs, Mathematics, Nominalism, Peirce, Pragmatism, Realism, Relation Theory, Semiotics, Sign Relations, Triadic Relations, Visualization | Tagged , , , , , , , , , , , , , , , | 11 Comments

Relation Theory • 1

Posted on October 27, 2021 by Jon Awbrey

Here’s an introduction to Relation Theory geared to applications and taking a moderately general view at least as far as finite numbers of relational domains are concerned (-adic or -ary relations). Relation Theory This article treats relations from the perspective … Continue reading →

Posted in C.S. Peirce, Category Theory, Dyadic Relations, Logic, Logic of Relatives, Logical Graphs, Mathematics, Nominalism, Peirce, Pragmatism, Realism, Relation Theory, Semiotics, Sign Relations, Triadic Relations, Visualization | Tagged , , , , , , , , , , , , , , , | 11 Comments

Zeroth Law Of Semiotics • Discussion 1

Posted on October 26, 2021 by Jon Awbrey

Re: Zeroth Law Of Semiotics • Comment 2 Re: Laws of Form • John Mingers JM: Hmmm Sounds terribly like analytic philosophy to me. There are not real philosophical problems, it’s all just a matter of misuse of words. Have … Continue reading →

Posted in C.S. Peirce, Denotation, Extension, Information = Comprehension × Extension, Liar Paradox, Logic, Nominalism, Peirce, Pragmatics, Rhetoric, Semantics, Semiositis, Semiotics, Sign Relations, Syntax, Zeroth Law Of Semiotics | Tagged , , , , , , , , , , , , , , , | 6 Comments

All Liar, No Paradox • Discussion 2

Posted on October 23, 2021 by Jon Awbrey

Re: Laws of Form • James Bowery • John Mingers Dear James, John, et al. The questions arising in the present discussion take us back to the question of what we are using logical values like and for, which takes … Continue reading →

Posted in Bertrand Russell, C.S. Peirce, Epimenides, Laws of Form, Liar Paradox, Logic, Logical Graphs, Mathematics, Paradox, Pragmatics, Rhetoric, Semantics, Semiositis, Semiotics, Sign Relations, Spencer Brown, Syntax, Visualization | Tagged , , , , , , , , , , , , , , , , , | 6 Comments

All Liar, No Paradox • Discussion 1

Posted on October 23, 2021 by Jon Awbrey

Re: Laws of Form • John Mingers JM: Several people have referred recently to the idea that Laws of Form, and particularly Chapter 11 with imaginary logical values, provides an answer to the problems Russell found in Principia Mathematica leading to … Continue reading →

Posted in Bertrand Russell, C.S. Peirce, Epimenides, Laws of Form, Liar Paradox, Logic, Logical Graphs, Mathematics, Paradox, Pragmatics, Rhetoric, Semantics, Semiositis, Semiotics, Sign Relations, Spencer Brown, Syntax, Visualization | Tagged , , , , , , , , , , , , , , , , , | 6 Comments

The Difference That Makes A Difference That Peirce Makes • 33

Posted on October 20, 2021 by Jon Awbrey

Re: Ontolog Forum • William Frank William Frank asked a question about propositional attitudes and presuppositions. WF: Are there any formal languages, such as Common Logic, that adequately represent statements about propositions — statements from which, in natural reasoning, one can … Continue reading →

Posted in Analogy, Bertrand Russell, C.S. Peirce, Dyadic Relations, Fixation of Belief, Information, Information = Comprehension × Extension, Inquiry, Logic, Logic of Relatives, Logic of Science, Logical Graphs, Mathematics, Pragmatic Maxim, Pragmatism, Relation Theory, Semiotics, Sign Relations, Triadic Relations, Triadicity, Visualization | Tagged , , , , , , , , , , , , , , , , , , , , | Leave a comment