Monthly Archives: March 2015

Relations & Their Relatives : 8

Re: Peirce List Discussion • 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 … Continue reading

Posted in C.S. Peirce, Diagrammatic Reasoning, Diagrams, Logic, Logic of Relatives, Mathematics, Peirce, Peirce List, Relation Theory, Semiotics, Sign Relations, Tertium Quid, Thirdness, Triadic Relations, Triadicity | Tagged , , , , , , , , , , , , , , | 4 Comments

Relations & Their Relatives : 7

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 , , , , , , , , , , , , , | 3 Comments

Animated Logical Graphs : 6

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, Cactus Graphs, Constraint Satisfaction Problems, Deduction, Diagrammatic Reasoning, Duality, Form, Graph Theory, Iconicity, Laws of Form, Leibniz, Logic, Logical Graphs, Mathematics, Model Theory, Peirce, Peirce's Law, Praeclarum Theorema, Pragmatism, Proof Theory, Propositional Calculus, Semiotics, Spencer Brown, Theorem Proving, Visualization | Tagged , , , , , , , , , , , , , , , , , , , , , , , , , , , , , | 1 Comment

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

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 , , , , , , , | 3 Comments

Scientific Attitude : 1

There is an outlook on the world that I call the Scientific Attitude (SA).  There are times when the “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 Epistemology, Generality, Haecceity, Inquiry, Inquiry Into Inquiry, Knowledge, Logic, Logic of Science, Philosophy, Philosophy of Science, Reproducibility, Science, Scientific Attitude, Scientific Method | Tagged , , , , , , , , , , , , , | Leave a comment

Relations & Their Relatives : 6

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 , , , , , , , , , , , , | 3 Comments

Relations & Their Relatives : 5

Re: Peirce List Discussion • 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, … Continue reading

Posted in C.S. Peirce, Control Theory, Cybernetics, Denotation, Information Theory, Logic, Logic of Relatives, Mathematics, Peirce, Relation Theory, Semiotics, Sign Relations, Systems Theory, Triadic Relations | Tagged , , , , , , , , , , , , , | 4 Comments