Author Archives: Jon Awbrey

Problems In Philosophy • 1

Posted on February 7, 2016 by Jon Awbrey

Re: R.J. Lipton and K.W. Regan • You Think We Have Problems I used to think about the heap problem a lot when I was programming and I decided the heap quits being a heap as soon as you remove … Continue reading →

Posted in Computation, Computer Science, Heap Problem, Paradox, Philosophy, Sorites | Tagged , , , , , | 1 Comment

Riffs and Rotes • 3

Posted on February 3, 2016 by Jon Awbrey

Re: R.J. Lipton • Failure Of Unique Factorization My favorite question in this realm is how much of the linear ordering of the natural numbers is purely combinatorial, where we eliminate all the structure that isn’t purely combinatorial via the … Continue reading →

Posted in Algebra, Combinatorics, Graph Theory, Group Theory, Logic, Mathematics, Number Theory, Riffs and Rotes | Tagged , , , , , , , | Leave a comment

Supple Agony

Posted on January 25, 2016 by Jon Awbrey

A lack of knowing, my lack of knowing How to supply either lack of knowing. Complemental and supplemental ∠s.

Posted in Anamnesis, Communication, Learning, Maieusis, Mantra, Meditation, Memo, Meno, Teaching | Tagged , , , , , , , , | Leave a comment

Prospects for Inquiry Driven Systems • 1

Posted on January 22, 2016 by Jon Awbrey

I finally finished retyping the bibliography to my systems engineering proposal that had gotten lost in a move between computers, so here is a link to the OEIS Wiki copy. Prospects for Inquiry Driven Systems • Bibliography This may be of … Continue reading →

Posted in Adaptive Systems, Animata, Artificial Intelligence, Automated Research Tools, C.S. Peirce, Cactus Graphs, Constraint Satisfaction Problems, Cybernetics, Differential Logic, Educational Systems Design, Inquiry, Inquiry Driven Systems, Inquiry Into Inquiry, Intelligent Systems Engineering, Learning, Logic, Logic of Science, Logical Graphs, Machine Learning, Peirce, Propositional Calculus, Reasoning, Scientific Method, Semiotics, Sign Relations, Theorem Proving | Tagged , , , , , , , , , , , , , , , , , , , , , , , , , | 2 Comments

Relations & Their Relatives • Discussion 17

Posted on January 4, 2016 by Jon Awbrey

Re: Peirce List Discussion • HR We have been considering special properties that a dyadic relation may have, in particular, the following two symmetry properties. A dyadic relation is symmetric if being in implies that is in A dyadic relation is … 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 , , , , , , , , , , | 12 Comments

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 →

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

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 , , , , , , , , , , | 12 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 , , , , , , , , , , | 12 Comments