Tag Archives: Relation Theory

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

Posted on February 11, 2015 by Jon Awbrey

Chapter 3. The Logic of Relatives (cont.) §2. Relatives 218.   A relative is a term whose definition describes what sort of a system of objects that is whose first member (which is termed the relate) is denoted by the … Continue reading →

Posted in Logic, Logic of Relatives, Mathematics, Peirce, Relation Theory, Semiotics, Sign Relations, Triadic Relations | Tagged , , , , , , , | 9 Comments

Six Ways of Looking at a Triadic Relation ⌬ 1

Posted on February 4, 2015 by Jon Awbrey

A triadic relation and its converses form a set of triadic relations all together, six grammatically and rhetorically distinct ways of representing what is logically the same information.  Peirce illustrates the situation as follows, with six variations on the theme … Continue reading →

Posted in C.S. Peirce, Logic, Logic of Relatives, Mathematics, Peirce, Peirce's Categories, Philosophy, Pragmatic Semiotic Information, Pragmatism, Relation Theory, Semiotics, Sign Relations, Thirdness, Triadic Relations, Triadicity | Tagged , , , , , , , , , , , , , , | 11 Comments

Peirce’s 1880 “Algebra Of Logic” Chapter 3 • Selection 2

Posted on February 3, 2015 by Jon Awbrey

Chapter 3. The Logic of Relatives (cont.) §1. Individual and Simple Terms (concl.) 216.   Just as in mathematics we speak of infinitesimals and infinites, which are fictitious limits of continuous quantity, and every statement involving these expressions has its … Continue reading →

Posted in Logic, Logic of Relatives, Mathematics, Peirce, Relation Theory, Semiotics, Sign Relations, Triadic Relations | Tagged , , , , , , , | 11 Comments

Peirce’s 1880 “Algebra Of Logic” Chapter 3 • Selection 1

Posted on February 1, 2015 by Jon Awbrey

Chapter 3. The Logic of Relatives §1. Individual and Simple Terms 214.   Just as we had to begin the study of Logical Addition and Multiplication by considering and terms which might have been introduced under the Algebra of the … Continue reading →

Posted in Logic, Logic of Relatives, Mathematics, Peirce, Relation Theory, Semiotics, Sign Relations, Triadic Relations | Tagged , , , , , , , | 10 Comments

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

Posted on January 30, 2015 by Jon Awbrey

Recurring questions about relations, especially triadic relations and sign relations, prompt a return to Peirce’s core papers on the logic of relative terms and the mathematics of relations in general.  I began a study of his Peirce’s 1870 “Logic of … Continue reading →

Posted in Algebra of Logic, Boolean Algebra, C.S. Peirce, Category Theory, Dyadic Relations, Logic, Logic of Relatives, Mathematics, Relation Theory, Relational Algebra, Semiotics, Sign Relations, Theory of Limits, Triadic Relations | Tagged , , , , , , , , , , , , , | 9 Comments

Semiotic Theory Of Information • 6

Posted on October 14, 2014 by Jon Awbrey

2014 Oct 14 Through the 1970s I gradually recovered from my early traumas with Fortran, and with the aid of more symbol-friendly programming languages like Lisp and Pascal began to play around again with implementing simple forms of graphical calculi … Continue reading →

Posted in C.S. Peirce, Information, Information Theory, Inquiry, Inquiry Driven Systems, Logic, Logic of Relatives, Mathematics, Peirce, Peirce List, Pragmatic Information, Pragmatism, Relation Theory, Semiotic Information, Semiotics, Sign Relations, Triadic Relations, Triadicity | Tagged , , , , , , , , , , , , , , , , , | 13 Comments

Semiotic Theory Of Information • 5

Posted on October 14, 2014 by Jon Awbrey

2014 Oct 09 I will continue assembling an assortment of background materials and links to other resources that I think are useful in understanding Peirce’s notion of information and how it has the potential to extend and generalize both our … Continue reading →

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

Semiotic Theory Of Information • 4

Posted on October 13, 2014 by Jon Awbrey

2014 Oct 08 “Let us now return to the information.”  To coin a phrase.  This time around we come to Peirce’s notion of information in a critical and recurring passage that Frederik Stjernfelt takes as the next stepping stone from … Continue reading →

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

Semiotic Theory Of Information • 3

Posted on October 12, 2014 by Jon Awbrey

2014 Oct 08 Re: Resources On Peircean Information Theory • (1) • (2) In trying to remember why I started this thread, I traced it back to the point when various notions of information came up in Chapter 3.3 of … Continue reading →

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

Semiotic Theory Of Information • 2

Posted on October 11, 2014 by Jon Awbrey

2014 Oct 06 Some portions of a paper Susan Awbrey and I presented at a Society for Applied Learning Technology conference in 1990 may be relevant at this juncture. Exploring Research Data Interactively • Theme One • A Program of … Continue reading →

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