Monthly Archives: June 2023

Systems of Interpretation • 8

Posted on June 16, 2023 by Jon Awbrey

Re: Peirce List • Kirsti Määttänen One of the chief advantages of Peirce’s systems of logical graphs, entitative and existential, is the way they escape the bounds of 1‑dimensional syntax and thus make it clear that many constraints of order imposed … Continue reading →

Posted in C.S. Peirce, Diagrammatic Reasoning, Interpretive Frameworks, Logic, Logical Graphs, Objective Frameworks, Relation Theory, Semiotics, Sign Relations, Systems of Interpretation, Triadic Relations, Visualization | Tagged , , , , , , , , , , , | 3 Comments

Systems of Interpretation • 7

Posted on June 15, 2023 by Jon Awbrey

Re: Peirce List • Gary Fuhrman Peirce’s existential graphs are a general calculus for expressing the same subject matter as his logic of relative terms and thus they serve to represent the structures of many‑place relations.  Cast at that level … Continue reading →

Posted in C.S. Peirce, Diagrammatic Reasoning, Interpretive Frameworks, Logic, Logical Graphs, Objective Frameworks, Relation Theory, Semiotics, Sign Relations, Systems of Interpretation, Triadic Relations, Visualization | Tagged , , , , , , , , , , , | 3 Comments

Systems of Interpretation • 6

Posted on June 14, 2023 by Jon Awbrey

Re: Peirce List • Jon Awbrey • John Collier JA: Questions about the meaning of the “central hub” in the “three‑spoked” picture of an elementary sign relation have often come up.  The central “spot”, as Peirce called it in his … Continue reading →

Posted in C.S. Peirce, Diagrammatic Reasoning, Interpretive Frameworks, Logic, Logical Graphs, Objective Frameworks, Relation Theory, Semiotics, Sign Relations, Systems of Interpretation, Triadic Relations, Visualization | Tagged , , , , , , , , , , , | 3 Comments

Systems of Interpretation • Discussion 1

Posted on June 12, 2023 by Jon Awbrey

Re: FB | Systems Sciences • Esteban Trev ET: What is the difference between sign and symbol? In Peirce’s usage, “sign” is the generic term, covering all species or types of signs.  Signs are “symbolic” to the extent they mean … Continue reading →

Posted in C.S. Peirce, Diagrammatic Reasoning, Interpretive Frameworks, Logic, Logical Graphs, Objective Frameworks, Relation Theory, Semiotics, Sign Relations, Systems of Interpretation, Triadic Relations, Visualization | Tagged , , , , , , , , , , , | 4 Comments

Systems of Interpretation • 5

Posted on June 11, 2023 by Jon Awbrey

Re: Peirce List • Jerry Chandler An elementary sign relation is an ordered triple   It is called elementary because it is one element of a sign relation where is a set of objects, is a set of signs, and … Continue reading →

Posted in C.S. Peirce, Diagrammatic Reasoning, Interpretive Frameworks, Logic, Logical Graphs, Objective Frameworks, Relation Theory, Semiotics, Sign Relations, Systems of Interpretation, Triadic Relations, Visualization | Tagged , , , , , , , , , , , | 3 Comments

Systems of Interpretation • 4

Posted on June 10, 2023 by Jon Awbrey

Re: Peirce List • Mike Bergman • Valentine Daniel For its pertinence to the present discussion, here again is what Peirce wrote about the mathematical way of using individual or particular cases to make general hypotheses or suppositions: Mathematical Demonstration … Continue reading →

Posted in C.S. Peirce, Diagrammatic Reasoning, Interpretive Frameworks, Logic, Logical Graphs, Objective Frameworks, Relation Theory, Semiotics, Sign Relations, Systems of Interpretation, Triadic Relations, Visualization | Tagged , , , , , , , , , , , | 4 Comments

Logic Syllabus • Discussion 2

Posted on June 4, 2023 by Jon Awbrey

Re: Logic Syllabus Re: Laws of Form • John Mingers JM: Is [the “just one true” operator] the same or different to xor?  I have read that xor is true when an odd number of variables are true which would … Continue reading →

Posted in Amphecks, Animata, Boolean Functions, C.S. Peirce, Cactus Graphs, Differential Logic, Functional Logic, Graph Theory, Laws of Form, Logic, Logical Graphs, Mathematics, Minimal Negation Operators, Painted Cacti, Peirce, Propositional Calculus, Propositional Equation Reasoning Systems, Semiotics, Venn Diagrams, Visualization | Tagged , , , , , , , , , , , , , , , , , , , | 5 Comments

Logic Syllabus • Discussion 1

Posted on June 2, 2023 by Jon Awbrey

Re: Logic Syllabus Re: Laws of Form • John Mingers JM: In a previous post you mentioned the minimal negation operator.  Is there also the converse of this, i.e. an operator which is true when exactly one of its arguments … Continue reading →

Posted in Amphecks, Animata, Boolean Functions, C.S. Peirce, Cactus Graphs, Differential Logic, Functional Logic, Graph Theory, Laws of Form, Logic, Logical Graphs, Mathematics, Minimal Negation Operators, Painted Cacti, Peirce, Propositional Calculus, Propositional Equation Reasoning Systems, Semiotics, Venn Diagrams, Visualization | Tagged , , , , , , , , , , , , , , , , , , , | 5 Comments