Category Archives: Aristotle

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 , , , , , , , , , , , , , , | 7 Comments

Problems In Philosophy • 5

Posted on February 10, 2016 by Jon Awbrey

Re: Michael Harris • Are Your Colleagues Zombies? What makes a zombie a legitimate object of philosophical inquiry is its absence of consciousness.  And today’s question is whether mathematical research requires consciousness, or whether it could just as well be … Continue reading →

Posted in Aristotle, Automata, Automated Research Tools, Automation, Cognition, Computation, Consciousness, Freud, Inquiry, Inquiry Driven Systems, Intentionality, Mathematics, Mechanization, Michael Harris, Peirce, Philosophy, Philosophy of Mathematics, Philosophy of Mind, Plato, Psychology, Routinization, Socrates, Sophist, Turing Test | Tagged , , , , , , , , , , , , , , , , , , , , , , , | Leave a comment

Problems In Philosophy • 4

Posted on February 9, 2016 by Jon Awbrey

Re: R.J. Lipton and K.W. Regan • Did Euclid Really Mean ‘Random’? These are the forms of time, which imitates eternity and revolves according to a law of number. Plato • Timaeus • 38 A Benjamin Jowett (trans.) It is … Continue reading →

Posted in Aristotle, Computation, Computer Science, Euclid, Genericity, Geometry, Iconicity, Likelihood, Likely Story, Likeness, Mathematics, Number Theory, Philosophy, Philosophy of Mathematics, Plato, Probability, Socrates | Tagged , , , , , , , , , , , , , , , , | 3 Comments

Survey of Precursors Of Category Theory • 1

Posted on May 15, 2015 by Jon Awbrey

A few years ago I began a sketch on the “Precursors of Category Theory”, aiming to trace the continuities of the category concept from Aristotle, to Kant and Peirce, through Hilbert and Ackermann, to contemporary mathematical practice.  A Survey of … Continue reading →

Posted in Abstraction, Ackermann, Analogy, Aristotle, C.S. Peirce, Carnap, Category Theory, Diagrams, Dyadic Relations, Equational Inference, Form, Foundations of Mathematics, Functional Logic, Hilbert, History of Mathematics, Hypostatic Abstraction, Kant, Logic, Logic of Relatives, Mathematics, Peirce, Propositions As Types Analogy, Relation Theory, Saunders Mac Lane, Semiotics, Sign Relations, Surveys, Triadic Relations, Type Theory, Universals | Tagged , , , , , , , , , , , , , , , , , , , , , , , , , , , , , | 20 Comments

Survey of Inquiry Driven Systems • 1

Posted on May 14, 2015 by Jon Awbrey

This is a Survey of blog and wiki posts on Inquiry Driven Systems, material I plan to refine toward a more compact and systematic treatment of the subject. An inquiry driven system is a system having among its state variables … Continue reading →

Posted in Abduction, Action, Adaptive Systems, Aristotle, Artificial Intelligence, Automated Research Tools, Change, Cognitive Science, Communication, Cybernetics, Deduction, Descartes, Dewey, Discovery, Doubt, Education, Educational Systems Design, Educational Technology, Fixation of Belief, Induction, Information, Information Theory, Inquiry, Inquiry Driven Systems, Inquiry Into Inquiry, Intelligent Systems, Interpretation, Invention, Kant, Knowledge, Learning, Learning Theory, Logic, Logic of Science, Mathematics, Mental Models, Peirce, Pragmatic Maxim, Pragmatism, Process Thinking, Scientific Inquiry, Semiotics, Sign Relations, Surveys, Teaching, Triadic Relations, Visualization | Tagged , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , | Leave a comment

Continuity, Generality, Infinity, Law, Synechism • 1

Posted on November 9, 2014 by Jon Awbrey

The concept of continuity Peirce highlights in his synechism is a logical principle somewhat more general than the concepts of either mathematical or physical continua. Peirce’s concept of continuity is better understood as a concept of lawful regularity or parametric … Continue reading →

Posted in Abduction, Aristotle, C.S. Peirce, Cardinality, Constraint, Continua, Continuity, Discreteness, Discretion, Epistemology, Generality, Infinity, Knowledge, Logic, Logic of Science, Mathematical Models, Mathematics, Natural Law, Physics, Quanta, Quantum Mechanics, Synechism, Topology | Tagged , , , , , , , , , , , , , , , , , , , , , , | 10 Comments