Monthly Archives: February 2015

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

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

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

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

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