Monthly Archives: March 2024

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

Pragmatic Semiotic Information • Comment 3

Posted on March 22, 2024 by Jon Awbrey

Memories are coming back to me more through the association of ideas than ordered by time or place.  I can sense, almost touch a tangle of thoughts interlaced with each other — the “information first” approach to ontology, the “arrows … Continue reading →

Posted in C.S. Peirce, Definition, Determination, Information, Information = Comprehension × Extension, Inquiry, Logic, Pragmatic Semiotic Information, Scientific Method, Semiosis, Semiotics, Sign Relations, Triadic Relations, Uncertainty | Tagged , , , , , , , , , , , , , | 3 Comments

Pragmatic Semiotic Information • Comment 2

Posted on March 20, 2024 by Jon Awbrey

I was at the time working as a “scanner” in the High Energy Physics Lab at Michigan State, sitting in a darkened room measuring tracks of particle interactions projected on a lighted scanning table from reels and reels of bubble … Continue reading →

Posted in C.S. Peirce, Definition, Determination, Information, Information = Comprehension × Extension, Inquiry, Logic, Pragmatic Semiotic Information, Scientific Method, Semiosis, Semiotics, Sign Relations, Triadic Relations, Uncertainty | Tagged , , , , , , , , , , , , , | 4 Comments

Pragmatic Semiotic Information • Comment 1

Posted on March 18, 2024 by Jon Awbrey

I remember it was back in ’76 when I began to notice a subtle shift of focus in the computer science journals I was reading, from discussing X to discussing Information About X, a transformation I noted mentally as whenever … Continue reading →

Posted in C.S. Peirce, Definition, Determination, Information, Information = Comprehension × Extension, Inquiry, Logic, Pragmatic Semiotic Information, Scientific Method, Semiosis, Semiotics, Sign Relations, Triadic Relations, Uncertainty | Tagged , , , , , , , , , , , , , | 4 Comments

Survey of Animated Logical Graphs • 7

Posted on March 18, 2024 by Jon Awbrey

This is a Survey of blog and wiki posts on Logical Graphs, encompassing several families of graph‑theoretic structures originally developed by Charles S. Peirce as graphical formal languages or visual styles of syntax amenable to interpretation for logical applications. Beginnings Logical Graphs … Continue reading →

Posted in Amphecks, Animata, Boolean Algebra, Boolean Functions, C.S. Peirce, Cactus Graphs, Computational Complexity, Constraint Satisfaction Problems, Differential Logic, 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 , , , , , , , , , , , , , , , , , , , , , , , , | 46 Comments

Pragmatic Semiotic Information • 9

Posted on March 16, 2024 by Jon Awbrey

Information Recapped Reflection on the inverse relation between uncertainty and information led us to define the information capacity of a communication channel as the average uncertainty reduction on receiving a sign, taking the acronym auroras as a reminder of the … Continue reading →

Posted in C.S. Peirce, Definition, Determination, Information, Information = Comprehension × Extension, Inquiry, Logic, Pragmatic Semiotic Information, Scientific Method, Semiosis, Semiotics, Sign Relations, Triadic Relations, Uncertainty | Tagged , , , , , , , , , , , , , | 4 Comments

Pragmatic Semiotic Information • 8

Posted on March 12, 2024 by Jon Awbrey

Information Channeled Suppose we find ourselves in the classification‑augmented or sign‑enhanced situation of uncertainty shown in Figure 5.  What difference does it make to our state of information regarding the objective outcome if we heed one or the other of the … Continue reading →

Posted in C.S. Peirce, Definition, Determination, Information, Information = Comprehension × Extension, Inquiry, Logic, Pragmatic Semiotic Information, Scientific Method, Semiosis, Semiotics, Sign Relations, Triadic Relations, Uncertainty | Tagged , , , , , , , , , , , , , | 4 Comments