Tag Archives: Logical Graphs

Peirce’s 1870 “Logic of Relatives” • Comment 8.3

Posted on February 18, 2014 by Jon Awbrey

Peirce’s 1870 “Logic of Relatives” • Comment 8.3 I continue with my commentary on CP 3.73, developing the Othello example as a way of illustrating Peirce’s formalism. It is critically important to distinguish a relation from a relative term. The relation … Continue reading →

Posted in C.S. Peirce, Logic, Logic of Relatives, Logical Graphs, Mathematics, Relation Theory, Visualization | Tagged , , , , , , | 10 Comments

Peirce’s 1870 “Logic of Relatives” • Comment 8.2

Posted on February 18, 2014 by Jon Awbrey

Peirce’s 1870 “Logic of Relatives” • Comment 8.2 I continue with my commentary on CP 3.73, developing the Othello example as a way of illustrating Peirce’s formalism. In the development of the story so far, we have a universe of discourse … Continue reading →

Posted in C.S. Peirce, Logic, Logic of Relatives, Logical Graphs, Mathematics, Relation Theory, Visualization | Tagged , , , , , , | 10 Comments

Peirce’s 1870 “Logic of Relatives” • Comment 8.1

Posted on February 18, 2014 by Jon Awbrey

Peirce’s 1870 “Logic of Relatives” • Comment 8.1 To my way of thinking, CP 3.73 is one of the most remarkable passages in the history of logic.  In this first pass over its deeper contents I won’t be able to accord … Continue reading →

Posted in C.S. Peirce, Logic, Logic of Relatives, Logical Graphs, Mathematics, Relation Theory, Visualization | Tagged , , , , , , | 10 Comments

Peirce’s 1870 “Logic of Relatives” • Selection 8

Posted on February 17, 2014 by Jon Awbrey

We continue with §3. Application of the Algebraic Signs to Logic. Peirce’s 1870 “Logic of Relatives” • Selection 8 The Signs for Multiplication (cont.) Thus far, we have considered the multiplication of relative terms only.  Since our conception of multiplication … Continue reading →

Posted in C.S. Peirce, Logic, Logic of Relatives, Logical Graphs, Mathematics, Relation Theory, Visualization | Tagged , , , , , , | 21 Comments

Peirce’s 1870 “Logic of Relatives” • Proto-Graphical Syntax

Posted on February 12, 2014 by Jon Awbrey

Peirce’s 1870 “Logic of Relatives” • Proto-Graphical Syntax It is clear from our last Selection that Peirce is already on the verge of a graphical syntax for the logic of relative terms.  Indeed, it is likely he had already reached … Continue reading →

Posted in C.S. Peirce, Logic, Logic of Relatives, Logical Graphs, Mathematics, Relation Theory, Visualization | Tagged , , , , , , | 12 Comments

All Process, No Paradox • 6

Posted on January 22, 2014 by Jon Awbrey

Re: R.J. Lipton • Anti-Social Networks Re: Lou Kauffman • Iterants, Imaginaries, Matrices Comments I made elsewhere about computer science and (anti-)social networks have a connection with the work in progress on this thread, so it may steal a march … Continue reading →

Posted in Algorithms, Amphecks, Boolean Algebra, Boolean Functions, C.S. Peirce, Cactus Graphs, Cybernetics, Differential Logic, Graph Theory, Laws of Form, Logic, Logical Graphs, Lou Kauffman, Mathematics, Minimal Negation Operators, Painted Cacti, Paradox, Peirce, Process Thinking, Propositional Calculus, Spencer Brown, Systems, Time | Tagged , , , , , , , , , , , , , , , , , , , , , , | 10 Comments

All Process, No Paradox • 5

Posted on January 21, 2014 by Jon Awbrey

In the midst of this strife, whereat the halls of Ilúvatar shook and a tremor ran out into the silences yet unmoved, Ilúvatar arose a third time, and his face was terrible to behold.  Then he raised up both his … Continue reading →

Posted in Animata, C.S. Peirce, Category Theory, Cybernetics, Differential Logic, Laws of Form, Logic, Logical Graphs, Mathematics, Paradox, Peirce, Process, Semiotics, Spencer Brown, Systems Theory, Tertium Quid, Time, Tolkien | Tagged , , , , , , , , , , , , , , , , , | 9 Comments

All Process, No Paradox • 4

Posted on January 20, 2014 by Jon Awbrey

Thus began the Days of the Bliss of Valinor; and thus began also the Count of Time. Tolkien • Quenta Silmarillion While looking for something else on the web, I ran across an old note I had written in reply … Continue reading →

Posted in Abstraction, C.S. Peirce, Conceptual Graphs, Cybernetics, Differential Logic, Laws of Form, Logic, Logical Graphs, Mathematics, Paradox, Peirce, Process, Process Thinking, Spencer Brown, Systems Theory, Time, Tolkien | Tagged , , , , , , , , , , , , , , , , | 9 Comments

All Process, No Paradox • 3

Posted on January 17, 2014 by Jon Awbrey

Consider what effects that might conceivably have practical bearings you conceive the objects of your conception to have.  Then, your conception of those effects is the whole of your conception of the object. Charles S. Peirce • “Issues of Pragmaticism” … Continue reading →

Posted in Animata, C.S. Peirce, Change, Cybernetics, Differential Logic, Graph Theory, Laws of Form, Logic, Logical Graphs, Mathematics, Paradox, Peirce, Pragmatic Maxim, Process Thinking, Spencer Brown, Systems, Time, Tolkien | Tagged , , , , , , , , , , , , , , , , , | 11 Comments

All Process, No Paradox • 2

Posted on January 15, 2014 by Jon Awbrey

These are the forms of time, which imitates eternity and revolves according to a law of number. Plato • Timaeus Re: Lou Kauffman • Iterants, Imaginaries, Matrices As serendipity would have it, Lou Kauffman, who knows a lot about the … Continue reading →

Posted in Animata, Boolean Functions, C.S. Peirce, Cybernetics, Differential Logic, Discrete Dynamics, Laws of Form, Logic, Logical Graphs, Lou Kauffman, Mathematics, Paradox, Peirce, Plato, Process, Spencer Brown, Timaeus, Time | Tagged , , , , , , , , , , , , , , , , , | 11 Comments