Tag Archives: Logic of Relatives

Peirce’s 1885 “Algebra of Logic” • Discussion 2

Posted on April 3, 2024 by Jon Awbrey

Re: FB | Daniel Everett One thing I’ve been trying to understand for a very long time is the changes in Peirce’s writing about math and logic from 1865 to 1885.  If there’s anything I’ve learned from reading Peirce in … Continue reading →

Posted in Algebra of Logic, C.S. Peirce, Deduction, Diagrammatic Reasoning, Icon Index Symbol, Logic, Logic of Relatives, Mathematics, Philosophy of Notation, Relation Theory, Semiotics, Sign Relations, Triadic Relations, Visualization | Tagged , , , , , , , , , , , , , | 2 Comments

Peirce’s 1885 “Algebra of Logic” • Discussion 1

Posted on April 2, 2024 by Jon Awbrey

Re: FB | Daniel Everett DE: One of the most important papers in the history of logic.  “On the Algebra of Logic” was the first to introduce the term “quantifier”. Peirce, C.S. (1885), “On the Algebra of Logic : A … Continue reading →

Posted in Algebra of Logic, C.S. Peirce, Deduction, Diagrammatic Reasoning, Icon Index Symbol, Logic, Logic of Relatives, Mathematics, Philosophy of Notation, Relation Theory, Semiotics, Sign Relations, Triadic Relations, Visualization | Tagged , , , , , , , , , , , , , | 2 Comments

Peirce’s 1885 “Algebra of Logic” • Selection 4

Posted on April 1, 2024 by Jon Awbrey

Selection from C.S. Peirce, “On the Algebra of Logic : A Contribution to the Philosophy of Notation” (1885) §1.  Three Kinds Of Signs (concl.) In this paper, I purpose to develop an algebra adequate to the treatment of all problems … Continue reading →

Posted in Algebra of Logic, C.S. Peirce, Deduction, Diagrammatic Reasoning, Icon Index Symbol, Logic, Logic of Relatives, Mathematics, Philosophy of Notation, Relation Theory, Semiotics, Sign Relations, Triadic Relations, Visualization | Tagged , , , , , , , , , , , , , | 8 Comments

Peirce’s 1885 “Algebra of Logic” • Selection 3

Posted on March 30, 2024 by Jon Awbrey

Selection from C.S. Peirce, “On the Algebra of Logic : A Contribution to the Philosophy of Notation” (1885) §1.  Three Kinds Of Signs (cont.) For instance, take the syllogistic formula, This is really a diagram of the relations of and … Continue reading →

Posted in Algebra of Logic, C.S. Peirce, Deduction, Diagrammatic Reasoning, Icon Index Symbol, Logic, Logic of Relatives, Mathematics, Philosophy of Notation, Relation Theory, Semiotics, Sign Relations, Triadic Relations, Visualization | Tagged , , , , , , , , , , , , , | 8 Comments

Peirce’s 1885 “Algebra of Logic” • Selection 2

Posted on March 26, 2024 by Jon Awbrey

Selection from C.S. Peirce, “On the Algebra of Logic : A Contribution to the Philosophy of Notation” (1885) §1.  Three Kinds Of Signs (cont.) I have taken pains to make my distinction of icons, indices, and tokens clear, in order … Continue reading →

Posted in Algebra of Logic, C.S. Peirce, Deduction, Diagrammatic Reasoning, Icon Index Symbol, Logic, Logic of Relatives, Mathematics, Philosophy of Notation, Relation Theory, Semiotics, Sign Relations, Triadic Relations, Visualization | Tagged , , , , , , , , , , , , , | 8 Comments

Peirce’s 1885 “Algebra of Logic” • Selection 1

Posted on March 24, 2024 by Jon Awbrey

Selection from C.S. Peirce, “On the Algebra of Logic : A Contribution to the Philosophy of Notation” (1885) §1.  Three Kinds Of Signs Any character or proposition either concerns one subject, two subjects, or a plurality of subjects.  For example, … Continue reading →

Posted in Algebra of Logic, C.S. Peirce, Deduction, Diagrammatic Reasoning, Icon Index Symbol, Logic, Logic of Relatives, Mathematics, Philosophy of Notation, Relation Theory, Semiotics, Sign Relations, Triadic Relations, Visualization | Tagged , , , , , , , , , , , , , | 8 Comments

Survey of Relation Theory • 8

Posted on March 23, 2024 by Jon Awbrey

In the present Survey of blog and wiki resources for Relation Theory, relations are viewed from the perspective of combinatorics, in other words, as a topic in discrete mathematics, with special attention to finite structures and concrete set‑theoretic constructions, many … 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, Surveys, Triadic Relations, Triadicity, Type Theory | Tagged , , , , , , , , , , , , , , , , , , , , , , | 9 Comments

Survey of Pragmatic Semiotic Information • 8

Posted on March 1, 2024 by Jon Awbrey

This is a Survey of blog and wiki posts on a theory of information which grows out of pragmatic semiotic ideas.  All my projects are exploratory in character but this line of inquiry is more open‑ended than most.  The question … Continue reading →

Posted in Abduction, C.S. Peirce, Communication, Control, Cybernetics, Deduction, Determination, Discovery, Doubt, Epistemology, Fixation of Belief, Induction, Information, Information = Comprehension × Extension, Information Theory, Inquiry, Inquiry Driven Systems, Inquiry Into Inquiry, Interpretation, Invention, Knowledge, Learning Theory, Logic, Logic of Relatives, Logic of Science, Mathematics, Peirce, Philosophy, Philosophy of Science, Pragmatic Information, Probable Reasoning, Process Thinking, Relation Theory, Scientific Inquiry, Scientific Method, Semeiosis, Semiosis, Semiotic Information, Semiotics, Sign Relational Manifolds, Sign Relations, Surveys, Triadic Relations, Uncertainty | Tagged , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , | 25 Comments

Sign Relations, Triadic Relations, Relation Theory • Discussion 12

Posted on February 24, 2024 by Jon Awbrey

Re: Sign Relations, Triadic Relations, Relation Theory • 1 A note from a longtime correspondent points out a search of the available texts turns up no use of the plural form “semiotics” by Peirce and just one place where he … Continue reading →

Posted in C.S. Peirce, Icon Index Symbol, Information, Inquiry Driven Systems, Logic, Logic of Relatives, Mathematics, Peirce, Pragmatism, Relation Theory, Semiosis, Semiotics, Sign Relations, Triadic Relations, Triadicity, Visualization | Tagged , , , , , , , , , , , , , , , | 4 Comments

Sign Relations, Triadic Relations, Relation Theory • 4

Posted on February 22, 2024 by Jon Awbrey

For ease of reference, here are two variants of Peirce’s 1902 definition of a sign, which he gives in the process of defining logic. Selections from C.S. Peirce, “Carnegie Application” (1902) No. 12.  On the Definition of Logic Logic will … Continue reading →

Posted in C.S. Peirce, Icon Index Symbol, Information, Inquiry Driven Systems, Logic, Logic of Relatives, Mathematics, Peirce, Pragmatism, Relation Theory, Semiosis, Semiotics, Sign Relations, Triadic Relations, Triadicity, Visualization | Tagged , , , , , , , , , , , , , , , | 4 Comments