Category Archives: C.S. Peirce

Conceptual Barriers • 4

Re: Conceptual Barriers • (1) • (2) • (3) Re: Peirce List • John Sowa • Gary Richmond • Robert Marty Dear Robert, I believe you have pointed to the crux of the matter. When I arrived on the campus … Continue reading

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C.S. Peirce • Algebra of Logic ∫ Philosophy of Notation • 2

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 , , , , , , , , , , , , , | 10 Comments

C.S. Peirce • Algebra of Logic ∫ Philosophy of Notation • 1

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 , , , , , , , , , , , , , | 10 Comments

Semiotics, Semiosis, Sign Relations • Discussion 19

Normative science rests largely on phenomenology and on mathematics; metaphysics on phenomenology and on normative science. ❧ Charles Sanders Peirce • Collected Papers, CP 1.186 (1903) Syllabus • Classification of Sciences (CP 1.180–202, G-1903-2b) Re: Peirce List • John Sowa JS: … Continue reading

Posted in C.S. Peirce, Category Theory, Logic, Relation Theory, Semiosis, Semiotics, Sign Relations, Triadic Relations | Tagged , , , , , , , | 8 Comments

Logical Graphs, Iconicity, Interpretation • 2

In the first place there are likenesses or copies — such as statues, pictures, emblems, hieroglyphics, and the like.  Such representations stand for their objects only so far as they have an actual resemblance to them — that is agree … 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 , , , , , , , , , , , , , , , , , , , , , , , , , | 8 Comments

Logical Graphs, Iconicity, Interpretation • 1

If exegesis raised a hermeneutic problem, that is, a problem of interpretation, it is because every reading of a text always takes place within a community, a tradition, or a living current of thought, all of which display presuppositions and … 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 , , , , , , , , , , , , , , , , , , , , , , , , , | 9 Comments

Minimal Negation Operators • Discussion 2

Re: Minimal Negation Operators • (1) • (2) • (3) • (4) Re: Peirce List (1) (2) (3) • Jerry Chandler JC: As a chemist, CSP often inscended hyle terminology into his logical corpse as he sought to extend the 15–17th … 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 , , , , , , , , , , , , , , , , , , , | 6 Comments

Minimal Negation Operators • Discussion 1

Re: Minimal Negation Operators • (1) • (2) • (3) • (4) Re: Peirce List (1) (2) • Imran Makani IM: In his first post on this thread Jon clearly says that [minimal negation operators] were developed from Peirce’s alpha … 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 , , , , , , , , , , , , , , , , , , , | 6 Comments

Semiotics, Semiosis, Sign Relations • Discussion 18

Re: FB | Medieval Logic • Edward Buckner (1) (2) Edward Buckner raised a few questions about the sign relations implicit in Aristotle’s treatise “On Interpretation”, prompting the following thoughts on my part. On Pragmata The object of a sign … Continue reading

Posted in C.S. Peirce, Category Theory, Logic, Relation Theory, Semiosis, Semiotics, Sign Relations, Triadic Relations | Tagged , , , , , , , | 8 Comments

Relations & Their Relatives • Discussion 23

Re: Ontolog Forum • Roberto Rovetto • Alex Shkotin Having lost my concentration to another round of home reconstruction disruption, let me loop back to the texts from Roberto and Alex which drew me into this discussion last week. RR: … Continue reading

Posted in C.S. Peirce, Category Theory, Control, Cybernetics, Dyadic Relations, Information, Inquiry, Logic, Logic of Relatives, Mathematics, Peirce, Relation Theory, Semiosis, Semiotics, Sign Relations, Systems Theory, Triadic Relations | Tagged , , , , , , , , , , , , , , , , | 8 Comments