Category Archives: Peirce

Sign Relations • Comment 4

Posted on January 11, 2018 by Jon Awbrey

Re: John Corcoran • Semiotic Triangle • My Comment The following passage is very instructive on several points, illuminating especially the relationship between interpreters (sign‑using agents) and interpretant signs. We are all, then, sufficiently familiar with the fact that many … Continue reading →

Posted in C.S. Peirce, Inquiry, Logic of Relatives, Peirce, Relation Theory, Semiotics, Sign Relations | Tagged , , , , , , | 17 Comments

Sign Relations • Comment 3

Posted on January 10, 2018 by Jon Awbrey

Re: Semiotic Triangle • John Corcoran A sign relation is a formal structure that satisfies a very general definition, on the same order of generality as a mathematical group or geometry.  So any consideration of what a particular sign relation … Continue reading →

Posted in C.S. Peirce, Inquiry, Logic of Relatives, Peirce, Relation Theory, Semiotics, Sign Relations | Tagged , , , , , , | 16 Comments

Sign Relations • Comment 2

Posted on January 9, 2018 by Jon Awbrey

Re: Semiotic Triangle • John Corcoran In a typical sign relation where Socrates belongs to the object domain one sign in the sign domain could be the name “Socrates” and one interpretant in the interpretant domain could be the name … Continue reading →

Posted in C.S. Peirce, Inquiry, Logic of Relatives, Peirce, Relation Theory, Semiotics, Sign Relations | Tagged , , , , , , | 17 Comments

Sign Relations • Comment 1

Posted on January 8, 2018 by Jon Awbrey

Re: Semiotic Triangle • John Corcoran Peirce’s triadic sign relations are sets of ordered triples having the form where is the object, is the sign, and is the interpretant sign (usually shortened to interpretant).  In other words, a specific sign relation … Continue reading →

Posted in C.S. Peirce, Inquiry, Logic of Relatives, Peirce, Relation Theory, Semiotics, Sign Relations | Tagged , , , , , , | 16 Comments

Differential Logic • Comment 3

Posted on December 30, 2017 by Jon Awbrey

In my previous comment on boundaries in object universes and venn diagrams, and always when I’m being careful about their mathematical senses, the definitions of “topology” and “boundary” I have in mind can be found in any standard textbook.  Here are … Continue reading →

Posted in Amphecks, Boolean Functions, C.S. Peirce, Cactus Graphs, Computational Complexity, Diagrammatic Reasoning, Differential Analytic Turing Automata, Differential Logic, Discrete Dynamical Systems, Graph Theory, Hill Climbing, Hologrammautomaton, Laws of Form, Logic, Logical Graphs, Mathematics, Minimal Negation Operators, Painted Cacti, Peirce, Propositional Calculus, Propositional Equation Reasoning Systems, Spencer Brown, Visualization | Tagged , , , , , , , , , , , , , , , , , , , , , , | 10 Comments

Differential Logic • Comment 2

Posted on December 28, 2017 by Jon Awbrey

As always, we have to distinguish between the diagram itself, the representation or sign inscribed in some medium, and the formal object it represents under a given interpretation. A venn diagram is an iconic sign we use to represent a … Continue reading →

Posted in Amphecks, Boolean Functions, C.S. Peirce, Cactus Graphs, Computational Complexity, Diagrammatic Reasoning, Differential Analytic Turing Automata, Differential Logic, Discrete Dynamical Systems, Graph Theory, Hill Climbing, Hologrammautomaton, Laws of Form, Logic, Logical Graphs, Mathematics, Minimal Negation Operators, Painted Cacti, Peirce, Propositional Calculus, Propositional Equation Reasoning Systems, Spencer Brown, Visualization | Tagged , , , , , , , , , , , , , , , , , , , , , , | 12 Comments

Differential Logic • Comment 1

Posted on December 21, 2017 by Jon Awbrey

Re: Gil Kalai • Pivotal Variables Just a tangential association with respect to logical influence and pivotability.  I have been exploring questions related to pivotal variables (“Differences that Make a Difference” or “Difference In ⟹ Difference Out”) via logical analogues … Continue reading →

Posted in Amphecks, Boolean Functions, C.S. Peirce, Cactus Graphs, Computational Complexity, Differential Analytic Turing Automata, Differential Logic, Discrete Dynamical Systems, Graph Theory, Hill Climbing, Hologrammautomaton, Logic, Logical Graphs, Logical Influence, Mathematics, Minimal Negation Operators, Painted Cacti, Peirce, Pivotal Variables, Propositional Calculus, Propositional Equation Reasoning Systems, Visualization, Zeroth Order Logic | Tagged , , , , , , , , , , , , , , , , , , , , , , | 10 Comments

Peirce’s 1903 Lowell Lectures • Comment 10

Posted on December 16, 2017 by Jon Awbrey

Re: Peirce List Discussion • John Sowa JFS: In the Lowell Lectures [1903] Peirce defined the Sheet of Assertion as the representation of a universe that was constructed during a discourse between Graphist and Grapheus. But that is just one … Continue reading →

Posted in C.S. Peirce, Diagrammatic Reasoning, Graph Theory, Laws of Form, Logic, Logical Graphs, Mathematics, Peirce, Peirce List, Propositional Calculus, Propositional Equation Reasoning Systems, Spencer Brown, Visualization | Tagged , , , , , , , , , , , , | Leave a comment

Peirce’s 1903 Lowell Lectures • Comment 9

Posted on November 28, 2017 by Jon Awbrey

Re: Peirce List • John Sowa JFS: In 1911, Peirce clarified [the] issues by using two distinct terms:  ‘the universe’ and ‘a sheet of paper’.  The sheet is no longer identified with the universe, and there is no reason why one couldn’t or … Continue reading →

Posted in C.S. Peirce, Diagrammatic Reasoning, Graph Theory, Laws of Form, Logic, Logical Graphs, Mathematics, Peirce, Peirce List, Propositional Calculus, Propositional Equation Reasoning Systems, Spencer Brown, Visualization | Tagged , , , , , , , , , , , , | Leave a comment

Peirce’s 1903 Lowell Lectures • Comment 8

Posted on November 26, 2017 by Jon Awbrey

Cf: Laws Of Form Discussion • JA Re: Laws Of Form Discussion • JB Re: Peirce List Discussion • JA Many aspects of Peirce’s alpha graphs can be clarified by seeing how they relate to the corresponding Venn diagrams. In … Continue reading →

Posted in C.S. Peirce, Diagrammatic Reasoning, Graph Theory, Laws of Form, Logic, Logical Graphs, Mathematics, Peirce, Peirce List, Propositional Calculus, Propositional Equation Reasoning Systems, Spencer Brown, Visualization | Tagged , , , , , , , , , , , , | Leave a comment