Category Archives: Induction

“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

Demonstrative And Otherwise

Posted on December 17, 2012 by Jon Awbrey

I am constantly encountering what I perceive as echoes of Peircean themes in places where acquaintance with or interest in Peirce’s work is slight at best, and that leaves me with a lot of pent up thoughts that I’ve learned through … Continue reading →

Posted in Abduction, Artificial Intelligence, C.S. Peirce, Computation, Computational Complexity, Cybernetics, Deduction, Induction, Inquiry, Inquiry Driven Systems, Intelligent Systems, Logic, Peirce, Programming, Semiotics | Tagged , , , , , , , , , , , , , , | 2 Comments

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

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