Monthly Archives: March 2015

Relations & Their Relatives • Discussion 5

Posted on March 22, 2015 by Jon Awbrey

Re: Peirce List • Howard Pattee At this point we can distinguish two forms of decomposability or reducibility — along with their corresponding negations, indecomposability or irreducibility – that commonly arise. Reducibility under relational composition All triadic relations are irreducible … Continue reading →

Posted in C.S. Peirce, Category Theory, Control, Cybernetics, Dyadic Relations, Information, Inquiry, Logic, Logic of Relatives, Mathematics, Peirce, Relation Theory, Semiosis, Semiotics, Sign Relations, Systems Theory, Triadic Relations | Tagged , , , , , , , , , , , , , , , , | 13 Comments

Relations & Their Relatives • Discussion 4

Posted on March 19, 2015 by Jon Awbrey

Re: Peirce List Discussion • Howard Pattee We use this or that species of diagrams to represent a fraction of the properties, hardly ever all the properties, of the objects in an object domain.  The diagrams that Peirce developed to … Continue reading →

Posted in Diagrammatic Reasoning, Diagrams, Logic, Logic of Relatives, Mathematics, Peirce, Peirce List, Relation Theory, Semiotics, Sign Relations, Tertium Quid, Thirdness, Triadic Relations, Triadicity | Tagged , , , , , , , , , , , , , | 10 Comments

Animated Logical Graphs • 6

Posted on March 13, 2015 by Jon Awbrey

Re: Peirce List Discussion • Jim Willgoose At root we are dealing with a genre of very abstract formal systems.  They have grammars that determine their well-formed expressions and rules that determine the permissible transformations among expressions, but they lack … Continue reading →

Posted in Amphecks, Analogy, Animata, Automated Research Tools, Boolean Algebra, Boolean Functions, C.S. Peirce, Cactus Graphs, Constraint Satisfaction Problems, Deduction, Diagrammatic Reasoning, Duality, Graph Theory, Iconicity, Laws of Form, Logic, Logical Graphs, Mathematics, Model Theory, Peirce, Peirce's Law, Praeclarum Theorema, Pragmatism, Proof Theory, Propositional Calculus, Semiotics, Spencer Brown, Theorem Proving, Visualization | Tagged , , , , , , , , , , , , , , , , , , , , , , , , , , , , | 9 Comments

Peirce’s 1880 “Algebra Of Logic” Chapter 3 • Selection 8

Posted on March 12, 2015 by Jon Awbrey

Chapter 3. The Logic of Relatives (cont.) §4. Classification of Relatives (cont.) 227.   These different classes have the following relations.  Every negative of a concurrent and every alio-relative is both an opponent and the negative of a self-relative.  Every … Continue reading →

Posted in Logic, Logic of Relatives, Mathematics, Peirce, Relation Theory, Semiotics, Sign Relations, Triadic Relations | Tagged , , , , , , , | 8 Comments

Scientific Attitude • 1

Posted on March 10, 2015 by Jon Awbrey

There is an outlook on the world I call the Scientific Attitude (SA).  There are times when the letter “A” is better served by apperception, approach, or attunement, but attitude will do for a start. The scientific attitude accepts appearances, … Continue reading →

Posted in Appearance, Epistemology, Generality, Haecceity, Inquiry, Inquiry Into Inquiry, Knowledge, Logic, Logic of Science, Philosophy of Science, Pragmatic Maxim, Reality, Reproducibility, Science, Scientific Attitude, Scientific Method | Tagged , , , , , , , , , , , , , , , | Leave a comment

Relations & Their Relatives • Discussion 3

Posted on March 5, 2015 by Jon Awbrey

Re: Peirce List Discussion • Edwina Taborsky • Howard Pattee In the best mathematical terms, a triadic relation is a cartesian product of three sets together with a specified subset of that cartesian product. Alternatively, one may think of a … Continue reading →

Posted in C.S. Peirce, Logic, Logic of Relatives, Mathematics, Peirce, Peirce List, Relation Theory, Semiotics, Sign Relations, Tertium Quid, Thirdness, Triadic Relations, Triadicity | Tagged , , , , , , , , , , , , | 11 Comments

Relations & Their Relatives • Discussion 2

Posted on March 4, 2015 by Jon Awbrey

Re: Peirce List • Helmut Raulien In systems theory and engineering there is a well-recognized duality or complementarity between the dimensions of Control and Information, frequently cast in terms of action and perception, actuators and detectors, effectors and sensors, and … Continue reading →

Posted in C.S. Peirce, Category Theory, Control, Cybernetics, Dyadic Relations, Information, Inquiry, Logic, Logic of Relatives, Mathematics, Peirce, Relation Theory, Semiosis, Semiotics, Sign Relations, Systems Theory, Triadic Relations | Tagged , , , , , , , , , , , , , , , , | 12 Comments