Category Archives: Peirce

¿Shifting Paradigms? • 2

Posted on August 6, 2014 by Jon Awbrey

Re: Timothy Chow • Shifting Paradigms? 2014 Jul 31 I can’t remember when I first started playing with Gödel codings of graph-theoretic structures, which arose in logical and computational settings, but I remember being egged on in that direction by … Continue reading →

Posted in Algebra, Arithmetic, Combinatorics, Foundations of Mathematics, Graph Theory, Group Theory, Inquiry, Logic, Mathematics, Model Theory, Number Theory, Paradigms, Peirce, Programming, Proof Theory, Riffs and Rotes | Tagged , , , , , , , , , , , , , , , | Leave a comment

¿Shifting Paradigms? • 1

Posted on August 6, 2014 by Jon Awbrey

Re: Dana Scott • Shifting Paradigms? 2014 Jul 28 This is very interesting to me, but not all my posts make it to the list, so I will spend a few days reflecting on it and post a comment on … Continue reading →

Posted in Foundations of Mathematics, Inquiry, Logic, Mathematics, Model Theory, Paradigms, Peirce, Programming, Proof Theory | Tagged , , , , , , , , | Leave a comment

Doubt, Uncertainty, Dispersion, Entropy • 1

Posted on July 1, 2014 by Jon Awbrey

Re: Peirce List • Stephen Rose Just a note to anchor a series of recurring thoughts that come to mind in relation to a Peirce List discussion of entropy etc., but I won’t have much to say on the bio-chemico-physico-thermo-dynamic … Continue reading →

Posted in Animata, Aristotle, C.S. Peirce, Cybernetics, Differential Logic, Dispersion, Doubt, Entropy, Information, Inquiry, Inquiry Driven Systems, Inquiry Into Inquiry, Peirce, Semiotic Information, Semiotics, Sign Relations, Uncertainty | Tagged , , , , , , , , , , , , , , , , | Leave a comment

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

All Process, No Paradox • 1

Posted on January 13, 2014 by Jon Awbrey

This thing all things devours: Birds, beasts, trees, flowers; Gnaws iron, bites steel; Grinds hard stones to meal; Slays king, ruins town, And beats high mountain down. Tolkien • The Hobbit Talking about time is a waste of time.  Time … Continue reading →

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

Precursors Of Category Theory • 3

Posted on January 3, 2014 by Jon Awbrey

Act only according to that maxim by which you can at the same time will that it should become a universal law. Immanuel Kant (1785) Precursors Of Category Theory Peirce Cued by Kant’s idea on the function of concepts in … Continue reading →

Posted in Abstraction, Ackermann, Aristotle, C.S. Peirce, Carnap, Category Theory, Hilbert, Kant, Logic, Logic of Relatives, Mathematics, Peirce, Peirce's Categories, Relation Theory, Saunders Mac Lane, Sign Relations, Type Theory | Tagged , , , , , , , , , , , , , , , , | 8 Comments