Monthly Archives: December 2015

Looking Back On 2015

Posted on December 31, 2015 by Jon Awbrey

The WordPress.com stats helper monkeys prepared a 2015 annual report for this blog. Here's an excerpt: The concert hall at the Sydney Opera House holds 2,700 people. This blog was viewed about 31,000 times in 2015. If it were a … Continue reading →

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Considerate Reason • 2

Posted on December 29, 2015 by Jon Awbrey

Re: R.J. Lipton • Why Is Discrete Math Hard To Teach? The Liberal Arts trivium of Grammar, Logic, Rhetoric received a latter day echo in the Unified Science trivium of Syntax, Semantics, Pragmatics, which was in turn the way Charles Morris … Continue reading →

Posted in Argument, C.S. Peirce, Computer Programming, Discrete Mathematics, Education, Educational Systems Design, Grammar, Inquiry, Inquiry Driven Systems, Interpretation, Logic, Logic of Relatives, Mathematics, Peirce, Pragmatics, Relation Theory, Rhetoric, Semantics, Semiotics, Sign Relations, Syntax, Triadic Relations | Tagged , , , , , , , , , , , , , , , , , , , , , | Leave a comment

Considerate Reason • 1

Posted on December 28, 2015 by Jon Awbrey

Re: R.J. Lipton • Why Is Discrete Math Hard To Teach? Rhetoric deals with forms of argument that consider the interpreter.  As considerate reason, it is involved in the style of training the Greeks dubbed education, “leading out”, and it … Continue reading →

Posted in Argument, C.S. Peirce, Computer Programming, Discrete Mathematics, Education, Educational Systems Design, Grammar, Inquiry, Inquiry Driven Systems, Interpretation, Logic, Logic of Relatives, Mathematics, Peirce, Pragmatics, Relation Theory, Rhetoric, Semantics, Semiotics, Sign Relations, Syntax, Triadic Relations | Tagged , , , , , , , , , , , , , , , , , , , , , | Leave a comment

Relations & Their Relatives • Discussion 16

Posted on December 22, 2015 by Jon Awbrey

Re: Peirce List Discussion • HR I would not want the dyadic case to detain us too long, as often happens when we frame a simple example for the purpose of illustration and then fail to rise beyond it. I … Continue reading →

Posted in C.S. Peirce, Dyadic Relations, Logic, Logic of Relatives, Mathematics, Peirce, Peirce List, Relation Theory, Semiotics, Sign Relations, Triadic Relations | Tagged , , , , , , , , , , | 8 Comments

Relations & Their Relatives • Discussion 15

Posted on December 12, 2015 by Jon Awbrey

Re: Peirce List Discussion • HR The immediate task is to get clear about the critical relationship between relations as sets and elementary relations as elements of those sets.  What’s at stake is understanding the extensional aspect of relations.  Beyond … Continue reading →

Posted in C.S. Peirce, Dyadic Relations, Logic, Logic of Relatives, Mathematics, Peirce, Peirce List, Relation Theory, Semiotics, Sign Relations, Triadic Relations | Tagged , , , , , , , , , , | 8 Comments

Relations & Their Relatives • Discussion 14

Posted on December 10, 2015 by Jon Awbrey

Re: Peirce List Discussion • GF • JBD • HR I think a few people are making this harder than it needs to be. Let’s put aside potential subtleties about elementary vs. individual vs. infinitesimal relatives and simply use “elementary … Continue reading →

Posted in C.S. Peirce, Dyadic Relations, Logic, Logic of Relatives, Mathematics, Peirce, Peirce List, Relation Theory, Semiotics, Sign Relations, Triadic Relations | Tagged , , , , , , , , , , | 8 Comments

Relations & Their Relatives • Discussion 13

Posted on December 8, 2015 by Jon Awbrey

Re: Peirce List Discussions • (1) • (2) First off, we need to be clear about the difference between objects and signs: Relations are formal objects of discussion and thought while relative terms are signs employed to denote relations.  (The … Continue reading →

Posted in C.S. Peirce, Dyadic Relations, Logic, Logic of Relatives, Mathematics, Peirce, Peirce List, Relation Theory, Semiotics, Sign Relations, Triadic Relations | Tagged , , , , , , , , , , | 7 Comments