Category Archives: Logic

Abduction, Deduction, Induction, Analogy, Inquiry • 7

Posted on March 1, 2016 by Jon Awbrey

Re: Peter Woit • Beyond Experiment The phrase “inference to the best explanation” was coined by Gilbert Harman in his attempt to explain abductive inference but it conveys the wrong impression to anyone who takes it as a substitute for … Continue reading →

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

Abduction, Deduction, Induction, Analogy, Inquiry • 6

Posted on February 29, 2016 by Jon Awbrey

Re: Peter Woit • Beyond Experiment There is a lot of misunderstanding about the requirement of falsifiability.  At root it is simply the idea that an empirical law is not a logical tautology.  I don’t see any reason to dispense … Continue reading →

Posted in Abduction, Analogy, Aristotle, Artificial Intelligence, C.S. Peirce, Deduction, Induction, Inquiry, Inquiry Driven Systems, Intelligent Systems Engineering, Logic, Mental Models, Scientific Method, Semiotics, Systems | Tagged , , , , , , , , , , , , , , | 7 Comments

Abduction, Deduction, Induction, Analogy, Inquiry • 5

Posted on February 29, 2016 by Jon Awbrey

Re: Peter Woit • Beyond Experiment Peirce is simply describing the process by which we seize on an initial hypothesis or model.  That choice will in practice be influenced by all sorts of previous experiences with the phenomenon in question … Continue reading →

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

Abduction, Deduction, Induction, Analogy, Inquiry • 4

Posted on February 26, 2016 by Jon Awbrey

Re: FB | Ecology Of Systems Thinking • Steven Wallis Peirce sought to understand what all varieties of inquiry, ranging from everyday reasoning and problem solving to full-fledged scientific method, have in common.  Taking a cue from Aristotle he developed … Continue reading →

Posted in Abduction, Analogy, Aristotle, Artificial Intelligence, C.S. Peirce, Computation, Computational Complexity, Deduction, Induction, Inquiry, Inquiry Driven Systems, Intelligent Systems, Logic, Problem Solving, Semiotics | Tagged , , , , , , , , , , , , , , | 6 Comments

Abduction, Deduction, Induction, Analogy, Inquiry • 3

Posted on February 17, 2016 by Jon Awbrey

Re: R.J. Lipton and K.W. Regan • Waves, Hazards, Guesses Aristotle’s apagoge, variously translated as abduction, reduction, or retroduction, is a form of reasoning common to two types of situations. Abduction may involve either of the following two operations. The … Continue reading →

Posted in Abduction, Analogy, Aristotle, Artificial Intelligence, C.S. Peirce, Computation, Computational Complexity, Deduction, Induction, Inquiry, Inquiry Driven Systems, Intelligent Systems, Logic, Problem Solving, Semiotics | Tagged , , , , , , , , , , , , , , | 6 Comments

Homunculomorphisms • 2

Posted on February 12, 2016 by Jon Awbrey

Re: John Baez • The Internal Model Principle There’s a far-ranging discussion that takes off from this point, touching on links among analogical reasoning, arrows and functors, cybernetic images, iconic versus symbolic representations, mental models, systems simulations, etc., and just … Continue reading →

Posted in Analogy, Ashby, Automata, Control Systems, Cybernetics, Homunculi, Homunculomorphisms, Iconicity, Information Theory, Inquiry, Inquiry Driven Systems, Intentionality, Internal Models, Logic, Logic of Science, Mathematics, Mental Models, Model Theory, Optimal Control, Peirce, Semiotics, Systems Theory, Triadic Relations | Tagged , , , , , , , , , , , , , , , , , , , , , , | 1 Comment

Problems In Philosophy • 3

Posted on February 8, 2016 by Jon Awbrey

Re: R.D. Mounce Making reality our friend is necessary to survival and finding good descriptions of reality is the better part of doing that, so I don’t imagine we have any less interest in truth than the Ancients.  From what … Continue reading →

Posted in Aesthetics, Computation, Computer Science, Ethics, Heap Problem, Logic, Mathematics, Model Theory, Normative Science, Paradox, Peirce, Philosophy, Pragmatism, Problem Solving, Proof Theory, Sorites | Tagged , , , , , , , , , , , , , , , | Leave a comment

Problems In Philosophy • 2

Posted on February 8, 2016 by Jon Awbrey

Re: R.J. Lipton and K.W. Regan • You Think We Have Problems Classical tradition views logic as a normative science, one whose object is truth.  This puts logic on a par with ethics, whose object is justice or morality in … Continue reading →

Posted in Aesthetics, Algorithms, Animata, Automata, Beauty, C.S. Peirce, Ethics, Inquiry, Justice, Logic, Model Theory, Normative Science, Peirce, Philosophy, Pragmatism, Problem Solving, Proof Theory, Summum Bonum, Truth, Virtue | Tagged , , , , , , , , , , , , , , , , , , , | 3 Comments

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

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