Category Archives: Aristotle

Objects, Models, Theories : 2

Posted on November 20, 2013 by Jon Awbrey

Re: K.W. Regan • The Graph Of Math Re: Artem Kaznatcheev • Three Types Of Mathematical Models What — if anything — is the common sense that connects the different senses of the word model, as it has been used … Continue reading →

Posted in Adaptive Systems, Analogy, Aristotle, Artificial Intelligence, Biological Systems, C.S. Peirce, Computational Complexity, Evolution, Gödel, Information, Inquiry, Inquiry Driven Systems, Learning Theory, Logic, Logic of Science, Mathematical Models, Mental Models, Model Theory, Natural Intelligence, Peirce, Pragmata, Semiotics | Tagged , , , , , , , , , , , , , , , , , , , , , | 8 Comments

“What we’ve got here is (a) failure to communicate” • 6

Posted on November 15, 2013 by Jon Awbrey

Excerpt from Warren S. McCulloch, “What Is a Number, that a Man May Know It, and a Man, that He May Know a Number?” (1960) Please remember that we are not now concerned with the physics and chemistry, the anatomy … Continue reading →

Posted in Abduction, Amphecks, Aristotle, Automata, Boolean Algebra, Boolean Functions, C.S. Peirce, Combinatorics, Deduction, Duns Scotus, Induction, Leibniz, Logic, Logic of Relatives, Mathematics, Neural Models, Ockham, Peirce, Propositional Logic, Psychons, Relation Theory, Sources, Triadic Relations, Warren S. McCulloch, William James | Tagged , , , , , , , , , , , , , , , , , , , , , , , , | 1 Comment

What Is A Theorem That A Human May Prove It?

Posted on June 19, 2013 by Jon Awbrey

Re: Gil Kalai • Why Is Mathematics Possible? • Tim Gowers’ Take On The Matter Comment 1 To the extent that mathematics has to do with reasoning about possible existence, or inference from pure hypothesis, a line of thinking going … Continue reading →

Posted in Abduction, Analogy, Aristotle, C.S. Peirce, Conjecture, Deduction, Epistemology, Hypothesis, Induction, Inquiry, Logic, Logic of Science, Mathematics, Peirce, Proof Theory, Retroduction, Theorem Proving, Warren S. McCulloch | Tagged , , , , , , , , , , , , , , , , , | 2 Comments

Strangers In Paradise

Posted on May 22, 2013 by Jon Awbrey

Re: Kilvington’s Sophismata Comment 1 On the one hand Aristotle gives us the logic of analogy (παραδειγμα).  On the other hand he cautions us that different paradigms may have no common measure.  It seems these Immortals are always getting ahead … Continue reading →

Posted in Albert Camus, Analogy, Aristotle, Differential Logic, Eleatic Stranger, Heraclitus, Incommensurability, Logic, Metabasis, Paradigmata, Paradox, Parmenides, Plato, Richard Kilvington, Sisyphus, Sophismata, Thomas Kuhn, Zeno | Tagged , , , , , , , , , , , , , , , , , | Leave a comment

I Wonder, Wonder Who

Posted on February 25, 2013 by Jon Awbrey

Re: R.J. Lipton and K.W. Regan • Who Invented Boolean Functions? The question recalls recent discussions of discovery and invention in the mathematical field, bringing back to mind questions I’ve wondered about for as long as I can remember. Speaking … Continue reading →

Posted in Anamnesis, Aristotle, Boole, Boolean Functions, C.S. Peirce, Discovery, Invention, Learning, Logic, Mathematics, Meno, Model Theory, Peirce, Plato, Propositional Calculus, Recollection, Semiotics, Socrates, Teaching | Tagged , , , , , , , , , , , , , , , , , , | Leave a comment

Abduction, Deduction, Induction, Analogy, Inquiry • 2

Posted on November 21, 2012 by Jon Awbrey

Re: Peirce List • Kirsti Määttänen Inference from particulars to particulars is also called analogy. Peirce gave a fair account of the logic behind statistical inference, as used in the research sciences from before his time to the present day.  … Continue reading →

Posted in Abduction, Analogy, Aristotle, Artificial Intelligence, C.S. Peirce, Deduction, Induction, Inquiry, Inquiry Driven Systems, Intelligent Systems Engineering, Logic, Mental Models, Peirce, Scientific Method, Semiotics, Systems | Tagged , , , , , , , , , , , , , , , | 6 Comments

That Aristotling Town

Posted on November 1, 2012 by Jon Awbrey

The man’s reputation for dualing exceeds him. It’s a mode more the eyebeam of the beholden. Western wayfarers will claim him their founder, But they founder on the way his meta*physick Straddles the narrow straits of their harbor. Jon Awbrey … Continue reading →

Posted in Aristotle, Verse | Tagged , | Leave a comment

Ask Meno Questions • Discussion 3

Posted on October 17, 2012 by Jon Awbrey

Re: Stephen Rose In Aristotle’s De Anima or “On the Soul” there is a fine articulation of the universal join between the body and the soul, one so embedded in the marrow of our culture that it moves and shapes … Continue reading →

Posted in Animata, Aristotle, Cybernetics, Education, Epistemology, Inquiry, Inquiry Driven Systems, Inquiry Into Inquiry, Intelligent Systems, Learning, Meno, Philosophy, Plato, Psychology, Semiotics, Socrates, Teaching, Visualization | Tagged , , , , , , , , , , , , , , , , , | 4 Comments

Pragmatics, Enthymeme, Rhetoric, Semiotics

Posted on October 7, 2012 by Jon Awbrey

Re: Peirce List • Kirsti Määttänen Aristotle’s approach to rhetoric is one of the bridges to Peirce’s pragmatism.  It treats forms of argument that “consider the audience”, in effect, that take the nature and condition of the interpreter into account, … Continue reading →

Posted in Aristotle, C.S. Peirce, Enthymeme, Pragmatics, Pragmatism, Rhetoric, Semiotics, Syllogism | Tagged , , , , , , , | Leave a comment

Abduction, Deduction, Induction, Analogy, Inquiry • 1

Posted on August 16, 2012 by Jon Awbrey

Here are several excursions I made into the subjects of Abduction, Deduction, Induction, and Analogy, comparing Peirce’s first formulations with those in Aristotle and focusing on the ways those patterns of inference fit into the Cycle of Inquiry.  Much of … Continue reading →

Posted in Abduction, Analogy, Aristotle, Artificial Intelligence, C.S. Peirce, Deduction, Induction, Inquiry, Inquiry Driven Systems, Intelligent Systems Engineering, Logic, Mental Models, Peirce, Scientific Method, Semiotics, Systems | Tagged , , , , , , , , , , , , , , , | 6 Comments