Category Archives: Analogy

Abduction, Deduction, Induction, Analogy, Inquiry • 26

Posted on August 6, 2019 by Jon Awbrey

Re: Gil Kalai • Avi Wigderson : Integrating Computational Modeling, Algorithms, and Complexity into Theories of Nature Marks a New Scientific Revolution! Projects giving a central place to computation in scientific inquiry go back to Hobbes and Leibniz, at least, … 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 , , , , , , , , , , , , , , , | 10 Comments

{ Information = Comprehension × Extension } • Discussion 14

Posted on February 21, 2019 by Jon Awbrey

Re: Ontolog Forum • Bruce Schuman Information and optimization go hand in hand — discovering the laws or constraints naturally governing the systems in which we live is a big part of moving toward our hearts’ desires within them.  I’m … Continue reading →

Posted in Abduction, Analogy, C.S. Peirce, Comprehension, Cybernetics, Deduction, Extension, Icon Index Symbol, Induction, Inference, Information = Comprehension × Extension, Information Theory, Inquiry, Intension, Logic, Logic of Science, Optimal Control, Optimization, Pragmatic Semiotic Information, Representation, Scientific Method, Semiotics, Sign Relations, Triadicity | Tagged , , , , , , , , , , , , , , , , , , , , , , , | 9 Comments

{ Information = Comprehension × Extension } • Discussion 10

Posted on February 1, 2019 by Jon Awbrey

Re: Ontolog Forum • Azamat Abdoullaev As I see it, the semiotics or theory of signs handed down by Aristotle, Augustine, the Medieval Scholastics, Locke, and others took a significant leap toward a truly scientific theory with the work of … Continue reading →

Posted in Abduction, Analogy, C.S. Peirce, Comprehension, Cybernetics, Deduction, Extension, Icon Index Symbol, Induction, Inference, Information = Comprehension × Extension, Information Theory, Inquiry, Intension, Logic, Logic of Science, Optimal Control, Optimization, Pragmatic Semiotic Information, Representation, Scientific Method, Semiotics, Sign Relations, Triadicity | Tagged , , , , , , , , , , , , , , , , , , , , , , , | 9 Comments

Abduction, Deduction, Induction, Analogy, Inquiry • 25

Posted on December 30, 2018 by Jon Awbrey

Re: Artem Kaznatcheev • Reductionism : To Computer Science From Philosophy The sense of reduction operative in complexity theory has its roots in Aristotle’s απαγωγη, variously translated as abduction or reduction and sometimes glossed as retroduction by C.S. Peirce.  See my … 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

Where Is Fancy Bred? • Comment 1

Posted on September 14, 2018 by Jon Awbrey

Re: Artem Kaznatcheev • Labyrinth : Fitness Landscapes As Mazes, Not Mountains A species in progress, with its naturally evolved organs of sensitivity, effectivity, and discernment, in its trials to learn the properties of its environment, cannot be expected to … Continue reading →

Posted in Adaptive Systems, Analogy, Artem Kaznatcheev, Artificial Intelligence, Biological Systems, Communication, Computational Complexity, Control, Evolution, Fitness Landscapes, Imagination, Information, Inquiry, Inquiry Driven Systems, Learning Theory, Mathematical Models, Mental Models, Natural Intelligence, Semiotics, Sign Relations | Tagged , , , , , , , , , , , , , , , , , , , | Leave a comment

Charles Sanders Peirce, George Spencer Brown, and Me • 10

Posted on August 25, 2017 by Jon Awbrey

With any formal system it is easy to spend a long time roughing out primitives and reviewing first principles before getting on to practical applications, and logical graphs are no different in that respect.  But the promise of clearer and more … Continue reading →

Posted in Abstraction, Amphecks, Analogy, Animata, Boolean Algebra, Boolean Functions, C.S. Peirce, Cactus Graphs, Cybernetics, Deduction, Differential Analytic Turing Automata, Differential Logic, Duality, Form, Graph Theory, Inquiry, Inquiry Driven Systems, Laws of Form, Logic, Logical Graphs, Mathematics, Minimal Negation Operators, Model Theory, Proof Theory, Propositional Calculus, Semiotics, Sign Relational Manifolds, Sign Relations, Spencer Brown, Theorem Proving, Time, Topology | Tagged , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , | 6 Comments

Charles Sanders Peirce, George Spencer Brown, and Me • 9

Posted on August 22, 2017 by Jon Awbrey

Re: Boundary Logic A wider field of investigation opens up at this point, spanning the diversity of interactions among languages we use, and systems of signs in general, to the thoughts ever streaming through our heads, to the universes we … Continue reading →

Posted in Abstraction, Amphecks, Analogy, Animata, Boolean Algebra, Boolean Functions, C.S. Peirce, Cactus Graphs, Cybernetics, Deduction, Differential Logic, Duality, Form, Graph Theory, Inquiry, Inquiry Driven Systems, Laws of Form, Logic, Logical Graphs, Mathematics, Minimal Negation Operators, Model Theory, Peirce, Proof Theory, Propositional Calculus, Semiotics, Sign Relational Manifolds, Sign Relations, Spencer Brown, Theorem Proving, Time, Topology | Tagged , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , | 6 Comments

Charles Sanders Peirce, George Spencer Brown, and Me • 8

Posted on August 22, 2017 by Jon Awbrey

Re: Boundary Logic For me, the heart of the matter is “what is the purpose of logic and what is the purpose of mathematics and what is their relationship?” There are semiotic situations which appear to violate the initial conditions … Continue reading →

Posted in Abstraction, Amphecks, Analogy, Animata, Boolean Algebra, Boolean Functions, C.S. Peirce, Cactus Graphs, Cybernetics, Deduction, Differential Logic, Duality, Form, Graph Theory, Inquiry, Inquiry Driven Systems, Laws of Form, Logic, Logical Graphs, Mathematics, Minimal Negation Operators, Model Theory, Peirce, Proof Theory, Propositional Calculus, Semiotics, Sign Relational Manifolds, Sign Relations, Spencer Brown, Theorem Proving, Time, Topology | Tagged , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , | 7 Comments

Charles Sanders Peirce, George Spencer Brown, and Me • 7

Posted on August 21, 2017 by Jon Awbrey

A statement that implies both and is called a false statement, and anyone can prove anything at all from a false statement, as we all too frequently observe on the political front these days. There is however a reasonable way … Continue reading →

Posted in Abstraction, Amphecks, Analogy, Animata, Boolean Algebra, Boolean Functions, C.S. Peirce, Cactus Graphs, Cybernetics, Deduction, Differential Logic, Duality, Form, Graph Theory, Inquiry, Inquiry Driven Systems, Laws of Form, Logic, Logical Graphs, Mathematics, Minimal Negation Operators, Model Theory, Peirce, Proof Theory, Propositional Calculus, Semiotics, Sign Relational Manifolds, Sign Relations, Spencer Brown, Theorem Proving, Time, Topology | Tagged , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , | 6 Comments

Charles Sanders Peirce, George Spencer Brown, and Me • 6

Posted on August 18, 2017 by Jon Awbrey

The formal system of logical graphs is defined by a foursome of formal equations, called initials when regarded purely formally, in abstraction from potential interpretations, and called axioms when interpreted as logical equivalences.  There are two arithmetic initials and two … Continue reading →

Posted in Abstraction, Amphecks, Analogy, Animata, Boolean Algebra, Boolean Functions, C.S. Peirce, Cactus Graphs, Cybernetics, Deduction, Differential Logic, Duality, Form, Graph Theory, Inquiry, Inquiry Driven Systems, Laws of Form, Logic, Logical Graphs, Mathematics, Minimal Negation Operators, Model Theory, Peirce, Proof Theory, Propositional Calculus, Semiotics, Sign Relational Manifolds, Sign Relations, Spencer Brown, Theorem Proving, Time, Topology | Tagged , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , | 6 Comments