Tag Archives: Relation Theory

Semiotic Theory Of Information • 1

Posted on October 10, 2014 by Jon Awbrey

2014 Oct 06 On the subject of Peirce’s laws of information — or the semiotic theory of information — here are a few links that come to mind for possible future reference: Semiotic Information Information = Comprehension × Extension And … Continue reading →

Posted in C.S. Peirce, Information Theory, Inquiry, Inquiry Driven Systems, Logic, Logic of Relatives, Mathematics, Peirce, Pragmatic Semiotic Information, Relation Theory, Semiotics, Sign Relations, Triadic Relations, Triadicity | Tagged , , , , , , , , , , , , , | 12 Comments

C.S. Peirce • Syllabus • Selection 2

Posted on October 4, 2014 by Jon Awbrey

But round about the castle there began to grow a hedge of thorns, which every year became higher, and at last grew close up round the castle and all over it, so that there was nothing of it to be … Continue reading →

Posted in Assertion, C.S. Peirce, Foundations of Mathematics, Icon Index Symbol, Logic, Mathematics, Metaphysics, Normative Science, Peirce, Phenomenology, Philosophy, Pragmatism, Propositions, References, Relation Theory, Semiosis, Semiotics, Sign Relations, Sources, Triadic Relations, Triadicity, Truth | Tagged , , , , , , , , , , , , , , , , , , , , , | 2 Comments

Consequences of Triadic Relation Irreducibility • 2

Posted on September 14, 2014 by Jon Awbrey

From time to time I come to the realization that there are ways of reading Peirce that make no sense to me.  When I stop to think about the potential sources of that evident divergence from common sense, the first … Continue reading →

Posted in C.S. Peirce, Logic, Logic of Relatives, Mathematics, Peirce, Peirce List, Philosophy, Pragmatism, Relation Theory, Semiotics, Sign Relations, Thirdness, Triadic Relations, Triadicity | Tagged , , , , , , , , , , , , , | Leave a comment

Consequences of Triadic Relation Irreducibility • 1

Posted on September 13, 2014 by Jon Awbrey

2014 Sep 10 I will have to be out of the loop for some days, but this post will give me a peg on which I can hang a few thoughts via mobile device that have been tugging at the … Continue reading →

Posted in C.S. Peirce, Logic, Logic of Relatives, Mathematics, Peirce, Philosophy, Pragmatism, Relation Theory, Semiotics, Sign Relations, Thirdness, Triadic Relations, Triadicity | Tagged , , , , , , , , , , , , | Leave a comment

Peirce’s 1870 “Logic of Relatives” • Intermezzo

Posted on June 18, 2014 by Jon Awbrey

Peirce’s 1870 “Logic of Relatives” Update • 10 April 2022 This brings me to the end of the notes on Peirce’s 1870 Logic of Relatives I began posting to the web in various discussion groups a dozen (now a score) … Continue reading →

Posted in C.S. Peirce, Logic, Logic of Relatives, Logical Graphs, Mathematics, Relation Theory, Visualization | Tagged , , , , , , | 12 Comments

Peirce’s 1870 “Logic of Relatives” • Comment 12.5

Posted on June 15, 2014 by Jon Awbrey

Peirce’s 1870 “Logic of Relatives” • Comment 12.5 The equation can be verified by establishing the corresponding equation in matrices. If and are two 1-dimensional matrices over the same index set then if and only if for every   Thus, a routine way … Continue reading →

Posted in C.S. Peirce, Logic, Logic of Relatives, Logical Graphs, Mathematics, Relation Theory, Visualization | Tagged , , , , , , | 13 Comments

Peirce’s 1870 “Logic of Relatives” • Comment 12.4

Posted on June 14, 2014 by Jon Awbrey

Peirce’s 1870 “Logic of Relatives” • Comment 12.4 Peirce next considers a pair of compound involutions, stating an equation between them analogous to a law of exponents from ordinary arithmetic, namely,  Then will denote whatever stands to every woman in … Continue reading →

Posted in C.S. Peirce, Logic, Logic of Relatives, Logical Graphs, Mathematics, Relation Theory, Visualization | Tagged , , , , , , | 12 Comments

Peirce’s 1870 “Logic of Relatives” • Comment 12.3

Posted on June 12, 2014 by Jon Awbrey

Peirce’s 1870 “Logic of Relatives” • Comment 12.3 We now have two ways of computing a logical involution raising a dyadic relative term to the power of a monadic absolute term, for example, for “lover of every woman”. The first method … Continue reading →

Posted in C.S. Peirce, Logic, Logic of Relatives, Logical Graphs, Mathematics, Relation Theory, Visualization | Tagged , , , , , , | 11 Comments

Peirce’s 1870 “Logic of Relatives” • Comment 12.2

Posted on June 11, 2014 by Jon Awbrey

Peirce’s 1870 “Logic of Relatives” • Comment 12.2 Let us make a few preliminary observations about the operation of logical involution which Peirce introduces in the following words. I shall take involution in such a sense that will denote everything … Continue reading →

Posted in C.S. Peirce, Logic, Logic of Relatives, Logical Graphs, Mathematics, Relation Theory, Visualization | Tagged , , , , , , | 11 Comments

Peirce’s 1870 “Logic of Relatives” • Comment 12.1

Posted on June 10, 2014 by Jon Awbrey

Peirce’s 1870 “Logic of Relatives” • Comment 12.1 To get a better sense of why Peirce’s formulas in Selection 12 mean what they do, and to prepare the ground for understanding more complex relational expressions, it will help to assemble the … Continue reading →

Posted in C.S. Peirce, Logic, Logic of Relatives, Logical Graphs, Mathematics, Relation Theory, Visualization | Tagged , , , , , , | 12 Comments