Monthly Archives: April 2015

Peirce’s 1880 “Algebra Of Logic” Chapter 3 • Comment 7.4

Dyadic relations enjoy yet another form of graph-theoretic representation as labeled bipartite graphs or labeled bigraphs.  I’ll just call them bigraphs here, letting the labels be understood in this logical context. The figure below shows the bigraphs of the 16 … Continue reading

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Peirce’s 1880 “Algebra Of Logic” Chapter 3 • Comment 7.3

Dyadic relations have graph-theoretic representations as labeled directed graphs with loops, also known as labeled pseudo-digraphs in some schools of graph theory.  I’ll just call them digraphs here, letting the labels and loops be understood in this logical context. The … Continue reading

Posted in Dyadic Relations, Graph Theory, Logic, Logic of Relatives, Mathematics, Matrix Theory, Peirce, Relation Theory, Semiotics, Sign Relations, Triadic Relations | Tagged , , , , , , , , , , | 4 Comments

Peirce’s 1880 “Algebra Of Logic” Chapter 3 • Comment 7.2

Because it can sometimes be difficult to reconnect abstractions with their concrete instances, especially after the abstract types have become autonomous and taken on a life of their own, let us resort to a simple concrete case and examine the … Continue reading

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Peirce’s 1880 “Algebra Of Logic” Chapter 3 • Comment 7.1

I wanted to call attention to a very important statement from Selection 7 (CP 3.225–226).  Peirce enumerates the fundamental forms of individual dual relatives in the following terms: 225.   Individual relatives are of one or other of the two forms … Continue reading

Posted in Dyadic Relations, Logic, Logic of Relatives, Mathematics, Peirce, Relation Theory, Semiotics, Sign Relations, Triadic Relations | Tagged , , , , , , , , | 3 Comments

Objective Frameworks • Properties and Instances : 1

Dealing with sign relations that contain many types of signs — icons, indices, symbols, and more complex types — is a task that calls for a flexible and powerful organizational framework, one with the ability to grow and develop over … Continue reading

Posted in Icon Index Symbol, Interpretive Frameworks, Logic, Logic of Relatives, Mathematics, Objective Frameworks, Peirce, Relation Theory, Relative Membership, Semiotics, Set Theory, Sign Relations | Tagged , , , , , , , , , , , | Leave a comment