Monthly Archives: December 2015

Looking Back On 2015

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

Posted in Annual Report, Year In Review | Tagged , | Leave a comment

Considerate Reason • 2

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, 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

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, 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 : 19

Re: Peirce List Discussion • Helmut Raulien 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. … 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 , , , , , , , , , , | 2 Comments

Relations & Their Relatives : 18

Re: Peirce List Discussion • Helmut Raulien 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.  … 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 , , , , , , , , , , | 2 Comments

Relations & Their Relatives : 17

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 , , , , , , , , , , | 2 Comments

Relations & Their Relatives : 16

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 , , , , , , , , , , | 2 Comments