Monthly Archives: October 2014

Frankl, My Dear • 8

Posted on October 30, 2014 by Jon Awbrey

Re: Dick Lipton & Ken Regan • (1) • (2) (4) Figure 4 shows the eight terms of the tacit extension as arcs, arrows, or directed edges in the venn diagram of the original proposition Each term of the tacit extension … Continue reading →

Posted in Boolean Algebra, Boolean Functions, Computational Complexity, Differential Logic, Frankl Conjecture, Logic, Logical Graphs, Mathematics, Péter Frankl | Tagged , , , , , , , , | 6 Comments

Frankl, My Dear • 7

Posted on October 29, 2014 by Jon Awbrey

Re: Dick Lipton & Ken Regan • (1) • (2) We continue with the differential analysis of the proposition in Example 1. Example 1 (1) A proposition defined on one universe of discourse has natural extensions to larger universes of discourse. … Continue reading →

Posted in Boolean Algebra, Boolean Functions, Computational Complexity, Differential Logic, Frankl Conjecture, Logic, Logical Graphs, Mathematics, Péter Frankl | Tagged , , , , , , , , | 7 Comments

Frankl, My Dear • 6

Posted on October 27, 2014 by Jon Awbrey

Re: Dick Lipton & Ken Regan • (1) • (2) (3) Figure 3 shows the eight terms of the enlarged proposition as arcs, arrows, or directed edges in the venn diagram of the original proposition Each term of the enlargement corresponds … Continue reading →

Posted in Boolean Algebra, Boolean Functions, Computational Complexity, Differential Logic, Frankl Conjecture, Logic, Logical Graphs, Mathematics, Péter Frankl | Tagged , , , , , , , , | 6 Comments

Frankl, My Dear • 5

Posted on October 23, 2014 by Jon Awbrey

Re: Dick Lipton & Ken Regan • (1) • (2) Putting all thought of the Frankl Conjecture out of our minds for the moment, let’s return to the proposition in Example 1 and work through its differential analysis from scratch. Example … Continue reading →

Posted in Boolean Algebra, Boolean Functions, Computational Complexity, Differential Logic, Frankl Conjecture, Logic, Logical Graphs, Mathematics, Péter Frankl | Tagged , , , , , , , , | 7 Comments

Semiotic Theory Of Information • 6

Posted on October 14, 2014 by Jon Awbrey

2014 Oct 14 Through the 1970s I gradually recovered from my early traumas with Fortran, and with the aid of more symbol-friendly programming languages like Lisp and Pascal began to play around again with implementing simple forms of graphical calculi … Continue reading →

Posted in C.S. Peirce, Information, Information Theory, Inquiry, Inquiry Driven Systems, Logic, Logic of Relatives, Mathematics, Peirce, Peirce List, Pragmatic Information, Pragmatism, Relation Theory, Semiotic Information, Semiotics, Sign Relations, Triadic Relations, Triadicity | Tagged , , , , , , , , , , , , , , , , , | 8 Comments

Semiotic Theory Of Information • 5

Posted on October 14, 2014 by Jon Awbrey

2014 Oct 09 I will continue assembling an assortment of background materials and links to other resources that I think are useful in understanding Peirce’s notion of information and how it has the potential to extend and generalize both our … Continue reading →

Posted in C.S. Peirce, Information, Information Theory, Inquiry, Inquiry Driven Systems, Logic, Logic of Relatives, Mathematics, Peirce, Peirce List, Pragmatic Information, Pragmatism, Relation Theory, Semiotic Information, Semiotics, Sign Relations, Triadic Relations, Triadicity | Tagged , , , , , , , , , , , , , , , , , | 6 Comments

Semiotic Theory Of Information • 4

Posted on October 13, 2014 by Jon Awbrey

2014 Oct 08 “Let us now return to the information.”  To coin a phrase.  This time around we come to Peirce’s notion of information in a critical and recurring passage that Frederik Stjernfelt takes as the next stepping stone from … Continue reading →

Posted in C.S. Peirce, Frederik Stjernfelt, Information, Information Theory, Inquiry, Inquiry Driven Systems, Kaina Stoicheia, Logic, Logic of Relatives, Mathematics, Peirce, Peirce List, Pragmatic Information, Pragmatism, Relation Theory, Semiotic Information, Semiotics, Sign Relations, Triadic Relations, Triadicity | Tagged , , , , , , , , , , , , , , , , , , , | 6 Comments

Semiotic Theory Of Information • 3

Posted on October 12, 2014 by Jon Awbrey

2014 Oct 08 Re: Resources On Peircean Information Theory • (1) • (2) In trying to remember why I started this thread, I traced it back to the point when various notions of information came up in Chapter 3.3 of … Continue reading →

Posted in C.S. Peirce, Frederik Stjernfelt, Information, Information Theory, Inquiry, Inquiry Driven Systems, Kaina Stoicheia, Logic, Logic of Relatives, Mathematics, Peirce, Peirce List, Pragmatic Information, Pragmatism, Relation Theory, Semiotic Information, Semiotics, Sign Relations, Triadic Relations, Triadicity | Tagged , , , , , , , , , , , , , , , , , , , | 6 Comments

Semiotic Theory Of Information • 2

Posted on October 11, 2014 by Jon Awbrey

2014 Oct 06 Some portions of a paper Susan Awbrey and I presented at a Society for Applied Learning Technology conference in 1990 may be relevant at this juncture. Exploring Research Data Interactively • Theme One • A Program of … Continue reading →

Posted in C.S. Peirce, Information, Information Theory, Inquiry, Inquiry Driven Systems, Logic, Logic of Relatives, Mathematics, Peirce, Peirce List, Pragmatic Information, Pragmatism, Relation Theory, Semiotic Information, Semiotics, Sign Relations, Triadic Relations, Triadicity | Tagged , , , , , , , , , , , , , , , , , | 6 Comments

Semiotic Theory Of Information • 1

Posted on October 10, 2014 by Jon Awbrey

2014 Oct 06 On the subject of Peirce’s laws of information — or the semiotic theory of information — here are a few links that come to mind for possible future reference: Semiotic Information Information = Comprehension × Extension And … Continue reading →

Posted in C.S. Peirce, Information Theory, Inquiry, Inquiry Driven Systems, Logic, Logic of Relatives, Mathematics, Peirce, Pragmatic Semiotic Information, Relation Theory, Semiotics, Sign Relations, Triadic Relations, Triadicity | Tagged , , , , , , , , , , , , , | 6 Comments