Tag Archives: Mathematics

Time, Topology, Differential Logic • 2

Posted on November 13, 2016 by Jon Awbrey

Re: Peirce List Discussion • JBD • JA • JA Topology is the most general study of geometric space.  It is critical here to get beyond the “popular” accounts and learn the basics from a real math book.  A classic … Continue reading →

Posted in C.S. Peirce, Change, Differential Logic, Dynamical Systems, Inquiry, Inquiry Driven Systems, Logic, Logical Graphs, Mathematics, Peirce, Propositional Calculus, Semiotics, Systems Theory, Time, Topology | Tagged , , , , , , , , , , , , , , | 9 Comments

Time, Topology, Differential Logic • 1

Posted on November 11, 2016 by Jon Awbrey

The clock indicates the moment . . . . but what does eternity indicate? Walt Whitman • Leaves of Grass Re: Peirce List • ET • JFS • JA Trying to understand inquiry in particular and semiosis in general as … Continue reading →

Posted in C.S. Peirce, Differential Logic, Dynamical Systems, Inquiry, Inquiry Driven Systems, Logic, Logical Graphs, Mathematics, Propositional Calculus, Semiotics, Systems Theory, Time, Topology | Tagged , , , , , , , , , , , , | 9 Comments

So Many Modes Of Mathematical Thought

Posted on September 9, 2016 by Jon Awbrey

So many modes of mathematical thought, So many are learned, so few are taught. There are streams that flow beneath the sea, There are waves that crash upon the strand, Lateral thoughts that spread and meander — Who knows what … Continue reading →

Posted in Anthem, Mantra, Mathematics, Meditation, Poetry, Verse | Tagged , , , , , | Leave a comment

Pragmatic Cosmos • 1

Posted on June 9, 2016 by Jon Awbrey

Re: Michael Harris • Not About Fibonacci I have often reflected on the interminglings of the main three normative sciences.  In one of my earliest meditations I saw Beauty, Goodness, and Truth as the intersecting circles of a Venn diagram, with the … Continue reading →

Posted in Aesthetics, Anthem, Arete, Beauty, C.S. Peirce, Ethics, Knowledge, Logic, Mathematics, Normative Science, Pragmata, Pragmatic Cosmos, Pragmatism, Summum Bonum, Truth, Virtue | Tagged , , , , , , , , , , , , , , , | Leave a comment

Peirce’s Categories • 7

Posted on May 13, 2016 by Jon Awbrey

Re: Peirce List Discussion • Ben Udell The week before last my home office got tossed like a salad into the middle of our bedroom floor while workmen worked on various things that needed re-working.  There’s probably a metaphor of … Continue reading →

Posted in Abstraction, C.S. Peirce, Category Theory, Logic, Logic of Relatives, Mathematics, Peirce, Peirce's Categories, Phenomenology, Pragmatism, Relation Theory, Semiotics, Thirdness, Triadic Relations, Triadicity, Type Theory | Tagged , , , , , , , , , , , , , , , | 8 Comments

Peirce’s Categories • 6

Posted on May 12, 2016 by Jon Awbrey

Re: Peirce List Discussion • Ben Udell I read Peirce primarily for his insights into logic, mathematics, and science, which are considerable enough to occupy several lifetimes, and I read him the same way I read other thinkers in those … Continue reading →

Posted in Abstraction, C.S. Peirce, Category Theory, Logic, Logic of Relatives, Mathematics, Peirce, Peirce's Categories, Phenomenology, Pragmatism, Relation Theory, Semiotics, Thirdness, Triadic Relations, Triadicity, Type Theory | Tagged , , , , , , , , , , , , , , , | 8 Comments

Peirce’s Categories • 5

Posted on May 12, 2016 by Jon Awbrey

Re: Peirce List Discussion • Ben Udell For my part, I see a distinctive paradigm of thought and practice immanent in Peirce’s work and all I’ve been trying to do for many years now has been to nudge it a … Continue reading →

Posted in Abstraction, C.S. Peirce, Category Theory, Logic, Logic of Relatives, Mathematics, Peirce, Peirce's Categories, Phenomenology, Pragmatism, Relation Theory, Semiotics, Thirdness, Triadic Relations, Triadicity, Type Theory | Tagged , , , , , , , , , , , , , , , | 8 Comments

Peirce’s Categories • 4

Posted on May 11, 2016 by Jon Awbrey

Re: Peirce List Discussions • (1) • (2) • (3) • (4) • (5) Let me state a few principles that have guided me in my efforts to read and understand Peirce for the past fifty years. There is a … Continue reading →

Posted in Abstraction, Category Theory, Logic, Logic of Relatives, Mathematics, Peirce, Peirce List, Peirce's Categories, Phenomenology, Philosophy, Pragmatism, Relation Theory, Semiotics, Thirdness, Triadic Relations, Triadicity, Type Theory | Tagged , , , , , , , , , , , , , , , , | 8 Comments

Definition and Determination • 14

Posted on May 5, 2016 by Jon Awbrey

Re: Peirce List (1) (2) I’ve been trying to sort through the explosion of topics and tangents that have arisen over the past month — disruptions in my actual and virtual office spaces have made it hard for me to … Continue reading →

Posted in C.S. Peirce, Comprehension, Constraint, Definition, Determination, Extension, Form, Indication, Information = Comprehension × Extension, Inquiry, Intension, Logic, Logic of Science, Mathematics, Peirce, Semiotics, Structure | Tagged , , , , , , , , , , , , , , , , | 5 Comments

Types of Reasoning in C.S. Peirce and Aristotle • 2

Posted on April 28, 2016 by Jon Awbrey

Re: Peirce List Discussion • Ben Udell • Gary Richmond Present business has kept me from following much of the recent discussion on Peirce’s three types of reasoning, but we have been down this road before and so old tunes … Continue reading →

Posted in Abduction, Analogy, Argument, Aristotle, C.S. Peirce, Constraint, Deduction, Determination, Diagrammatic Reasoning, Diagrams, Differential Logic, Functional Logic, Hypothesis, Indication, Induction, Inference, Information, Inquiry, Logic, Logic of Science, Mathematics, Peirce, Peirce List, Philosophy, Probable Reasoning, Propositional Calculus, Propositions, Reasoning, Retroduction, Semiotic Information, Semiotics, Sign Relations, Syllogism | Tagged , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , | 2 Comments