Author Archives: Jon Awbrey

Time, Topology, Differential Logic • 3

Posted on November 14, 2016 by Jon Awbrey

Re: Peirce List Discussion • JA Worldly events are interfering with my concentration quite a bit this week, perhaps for days to come, but it does help to immerse myself in work.  I am starting a blog series to follow … 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 • 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

Pragmatic Maxims • 4

Posted on November 8, 2016 by Jon Awbrey

Re: Peirce List • (1) • (2) I haven’t been able to do more than randomly sample the doings on the Peirce List for the last half year, being deeply immersed in other Peirce work that I hope to report … Continue reading →

Posted in C.S. Peirce, Inquiry, Logic, Method, Peirce, Philosophy, Pragmatic Maxim, Pragmatism, References, Sources | Tagged , , , , , , , , , | Leave a comment

Pragmatic Maxims • 3

Posted on November 5, 2016 by Jon Awbrey

Re: Peirce List • Jerry Rhee Inquiry begins in doubt and aims for belief but the rush to get from doubt to belief and achieve mental peace can cause us to short the integrated circuits of inquiry that we need … Continue reading →

Posted in C.S. Peirce, Inquiry, Logic, Method, Peirce, Philosophy, Pragmatic Maxim, Pragmatism, References, Sources | Tagged , , , , , , , , , | 1 Comment

Pragmatic Maxims • 2

Posted on November 4, 2016 by Jon Awbrey

Re: Peirce List • Jerry Rhee I tend to think more in relative terms than absolute terms, so I would not expect to find an absolute best formulation of any core principle in philosophy, science, or even math.  But taken … Continue reading →

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Pragmatic Maxims • 1

Posted on November 4, 2016 by Jon Awbrey

Re: Peirce List Here is a set of variations on the Pragmatic Maxim that I collected a number of years ago, along with some commentary of my own as I last left it.  As I understand them, they all say … Continue reading →

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{ Information = Comprehension × Extension } • Comment 6

Posted on October 28, 2016 by Jon Awbrey

Note.  This is a placeholder, to be developed later. Figure 2 shows the implication ordering of logical terms in the form of a lattice diagram. Figure 2. Disjunctive Term u, Taken as Subject Reference Peirce, C.S. (1866), “The Logic of … Continue reading →

Posted in Abduction, Belief Fixation, C.S. Peirce, Comprehension, Deduction, Extension, Hypothesis, Icon Index Symbol, Induction, Inference, Information, Information = Comprehension × Extension, Inquiry, Intension, Logic, Logic of Science, Peirce, Peirce's Categories, Pragmatism, Scientific Method, Semiotic Information, Semiotics, Sign Relations | Tagged , , , , , , , , , , , , , , , , , , , , , , | 12 Comments

{ Information = Comprehension × Extension } • Comment 5

Posted on September 30, 2016 by Jon Awbrey

Let’s stay with Peirce’s example of abductive inference a little longer and try to clear up the more troublesome confusions tending to arise. Figure 1 shows the implication ordering of logical terms in the form of a lattice diagram. Figure … Continue reading →

Posted in Abduction, Belief Fixation, C.S. Peirce, Comprehension, Deduction, Extension, Hypothesis, Icon Index Symbol, Induction, Inference, Information, Information = Comprehension × Extension, Inquiry, Intension, Logic, Logic of Science, Peirce, Peirce's Categories, Pragmatism, Scientific Method, Semiotic Information, Semiotics, Sign Relations | Tagged , , , , , , , , , , , , , , , , , , , , , , | 10 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 →

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