Tag Archives: Sign Relations

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

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

Pragmatic Semiotic Information • 7

Posted on March 11, 2024 by Jon Awbrey

Uncertainty Moderated In many ways the provision of information, a process which serves to reduce uncertainty, operates as an inverse process in relation to the type of uncertainty augmentation which takes place in compound decisions.  By way of illustrating 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 • 6

Posted on March 10, 2024 by Jon Awbrey

Uncertainty Multiplied In our minds’ eyes last time we imagined ourselves coming to a fork in the road and seeing four paths diverge from that point.  Suppose a survey of the scene ahead now shows each path reaching a point … 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 • 5

Posted on March 9, 2024 by Jon Awbrey

Uncertainty Measured As a matter of fact, at least in the discrete types of cases we are currently considering, it would be possible to use the degree of a node, the number of paths fanning out from it, as a measure … 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