Category Archives: Semiotics

Time, Topology, Differential Logic • 5

Posted on November 19, 2016 by Jon Awbrey

And the founder, having shod a plough with a brazen ploughshare, and having yoked to it a bull and a cow, himself drove a deep furrow round the boundary lines, while those who followed after him had to turn the … 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 , , , , , , , , , , , , , , | 10 Comments

Time, Topology, Differential Logic • 4

Posted on November 15, 2016 by Jon Awbrey

Re: Peirce List Discussion • JFS • JA JA: Trying to understand inquiry and semiosis in general as temporal processes is one of the things that forced me to develop differential logic as an extension of propositional logic, for which … 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 • 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

{ 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

{ Information = Comprehension × Extension } • Comment 4

Posted on August 31, 2016 by Jon Awbrey

Many things still puzzle me about Peirce’s account at this point.  I indicated a few of them by means of question marks at several places in the last two Figures.  There is nothing for it but returning to the text … 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 , , , , , , , , , , , , , , , , , , , , , , | 11 Comments

Iconoclast

Posted on August 23, 2016 by Jon Awbrey

Things thrown out from a center Cooling signs of a central fire Expiring cinders of life within Sent from a star to start again

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

{ Information = Comprehension × Extension } • Comment 3

Posted on July 10, 2016 by Jon Awbrey

Peirce identifies inference with a process he describes as symbolization.  Let us consider what that might imply. I am going, next, to show that inference is symbolization and that the puzzle of the validity of scientific inference lies merely in … 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