Category Archives: Peirce

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

Precursors Of Category Theory • 2

Posted on December 30, 2013 by Jon Awbrey

Thanks to art, instead of seeing one world only, our own, we see that world multiply itself and we have at our disposal as many worlds as there are original artists … ☙ Marcel Proust Precursors Of Category Theory When … 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 , , , , , , , , , , , , , , , , | 6 Comments

Precursors Of Category Theory • 1

Posted on December 20, 2013 by Jon Awbrey

A few years back I began a sketch on the Precursors of Category Theory, aiming to trace the continuities of the category concept from Aristotle, thorough Kant and Peirce, Hilbert and Ackermann, to contemporary mathematical use.  Perhaps a few will … 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 , , , , , , , , , , , , , , , , | 10 Comments

“What we’ve got here is (a) failure to communicate” • 6

Posted on November 15, 2013 by Jon Awbrey

Excerpt from Warren S. McCulloch, “What Is a Number, that a Man May Know It, and a Man, that He May Know a Number?” (1960) Please remember that we are not now concerned with the physics and chemistry, the anatomy … Continue reading →

Posted in Abduction, Amphecks, Aristotle, Automata, Boolean Algebra, Boolean Functions, C.S. Peirce, Combinatorics, Deduction, Duns Scotus, Induction, Leibniz, Logic, Logic of Relatives, Mathematics, Neural Models, Ockham, Peirce, Propositional Logic, Psychons, Relation Theory, Sources, Triadic Relations, Warren S. McCulloch, William James | Tagged , , , , , , , , , , , , , , , , , , , , , , , , | 1 Comment

“What we’ve got here is (a) failure to communicate” • 5

Posted on November 12, 2013 by Jon Awbrey

Excerpt from C.S. Peirce, “Minute Logic” (1902), CP 2.144–148 2.2. Why Study Logic? 2.2.5. Reasoning and Expectation 144.   But since you propose to study logic, you have more or less faith in reasoning, as affording knowledge of the truth. Now … Continue reading →

Posted in Anthem, C.S. Peirce, Communication, Meditation, Peirce, References, Sources | Tagged , , , , , , | 2 Comments

Architectonics of Inquiry • 1

Posted on October 23, 2013 by Jon Awbrey

Re: R.J. Lipton • Teaching Helps Research Along these lines, if somewhat tangentially, are some questions that I’ve wondered about for many years. How do research and teaching interact, and how might they act to catalyze one another in the … Continue reading →

Posted in Artificial Intelligence, Automated Research Tools, C.S. Peirce, Discovery, Educational Systems Design, Educational Technology, Inquiry, Inquiry Driven Systems, Inquiry Into Inquiry, Instruction, Peirce, Research Technology | Tagged , , , , , , , , , , , | 3 Comments