Category Archives: Algorithms

Icon Index Symbol • 3

Questions Concerning Certain Faculties Claimed For Signs Re: Peirce List (1) (2) (3) • Kirsti Määttänen KM:  Seems valid to me.  But it does not answer the quest for understanding. The setup described in the previous post is the barest … Continue reading

Posted in Abduction, Algorithms, Animata, Artificial Intelligence, Automated Research Tools, C.S. Peirce, Cognition, Computation, Data Structures, Deduction, Icon Index Symbol, Induction, Inquiry, Inquiry Driven Systems, Inquiry Into Inquiry, Interpretive Frameworks, Knowledge Representation, Logic, Logic of Relatives, Logic of Science, Logical Graphs, Objective Frameworks, Peirce, Relation Theory, Semiotics, Sign Relations, Triadic Relations, Visualization | Tagged , , , , , , , , , , , , , , , , , , , , , , , , , , , | 16 Comments

Icon Index Symbol • 2

Questions Concerning Certain Faculties Claimed For Signs Re: Peirce List (1) (2) (3) • Jon Alan Schmidt JAS:  What class of Sign is a law of nature? I’ve mentioned the following possibility several times before, but maybe not too recently. … Continue reading

Posted in Abduction, Algorithms, Animata, Artificial Intelligence, Automated Research Tools, C.S. Peirce, Cognition, Computation, Data Structures, Deduction, Icon Index Symbol, Induction, Inquiry, Inquiry Driven Systems, Inquiry Into Inquiry, Interpretive Frameworks, Knowledge Representation, Logic, Logic of Relatives, Logic of Science, Logical Graphs, Objective Frameworks, Peirce, Relation Theory, Semiotics, Sign Relations, Triadic Relations, Visualization | Tagged , , , , , , , , , , , , , , , , , , , , , , , , , , , | 17 Comments

Icon Index Symbol • 1

Questions Concerning Certain Faculties Claimed For Signs Re: Peirce List • Jerry Rhee With regard to the main three types of signs — Icons, Indices, Symbols — Jerry Rhee asks: How best do you distinguish between these terms?  What settles … Continue reading

Posted in Abduction, Algorithms, Animata, Artificial Intelligence, Automated Research Tools, C.S. Peirce, Cognition, Computation, Data Structures, Deduction, Icon Index Symbol, Induction, Inquiry, Inquiry Driven Systems, Inquiry Into Inquiry, Interpretive Frameworks, Knowledge Representation, Logic, Logic of Relatives, Logic of Science, Logical Graphs, Objective Frameworks, Peirce, Relation Theory, Semiotics, Sign Relations, Triadic Relations, Visualization | Tagged , , , , , , , , , , , , , , , , , , , , , , , , , , , | 16 Comments

Problems In Philosophy • 2

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

Survey of Theme One Program • 1

This is a Survey of blog and wiki posts relating to the Theme One Program I worked on all through the 1980s.  The aim was to develop fundamental algorithms and data structures to support an integrated learning and reasoning interface, … Continue reading

Posted in Algorithms, Animata, Artificial Intelligence, Boolean Functions, C.S. Peirce, Cactus Graphs, Cognition, Computation, Constraint Satisfaction Problems, Data Structures, Differential Logic, Equational Inference, Formal Languages, Graph Theory, Inquiry Driven Systems, Laws of Form, Learning Theory, Logic, Logical Graphs, Mathematics, Minimal Negation Operators, Painted Cacti, Peirce, Propositional Calculus, Semiotics, Spencer Brown, Visualization | Tagged , , , , , , , , , , , , , , , , , , , , , , , , , , | Leave a comment

All Process, No Paradox • 6

Re: R.J. Lipton • Anti-Social Networks Re: Lou Kauffman • Iterants, Imaginaries, Matrices Comments I made elsewhere about computer science and (anti-)social networks have a connection with the work in progress on this thread, so it may steal a march … Continue reading

Posted in Algorithms, Amphecks, Boolean Algebra, Boolean Functions, C.S. Peirce, Cactus Graphs, Cybernetics, Differential Logic, Graph Theory, Laws of Form, Logic, Logical Graphs, Lou Kauffman, Mathematics, Minimal Negation Operators, Painted Cacti, Paradox, Peirce, Process Thinking, Propositional Calculus, Spencer Brown, Systems, Time | Tagged , , , , , , , , , , , , , , , , , , , , , , | 10 Comments

Differential Analytic Turing Automata • Discussion 1

Re: R.J. Lipton and K.W. Regan • Proving Cook’s Theorem Synchronicity Rules❢ I just started reworking an old exposition of mine on Cook’s Theorem, where I borrowed the Parity Function example from Wilf (1986), Algorithms and Complexity, and translated it … Continue reading

Posted in Algorithms, Boolean Functions, C.S. Peirce, Cactus Graphs, Computational Complexity, Differential Analytic Turing Automata, Differential Logic, Logic, Logical Graphs, Peirce, Propositional Calculus, Turing Machines | Tagged , , , , , , , , , , , | 2 Comments

How To Succeed In Proof Business Without Really Trying

Re: R.J. Lipton • Surely You Are Joking? Comment 1 Even at the mailroom entry point of propositional calculus, there is a qualitative difference between insight proofs and routine proofs.  Human beings can do either sort, as a rule, but … Continue reading

Posted in Algorithms, Animata, Artificial Intelligence, Automatic Theorem Proving, Boolean Algebra, Boolean Functions, C.S. Peirce, Cactus Graphs, Computational Complexity, Graph Theory, Logic, Logical Graphs, Minimal Negation Operators, Model Theory, Peirce, Praeclarum Theorema, Proof Theory, Propositional Calculus, Visualization | Tagged , , , , , , , , , , , , , , , , , , | 7 Comments

Quotiens?

How many times do I repeat the same experience? Before I come to see it as the same experience?

Posted in Algorithms, Anamnesis, Arithmetic, Deja Vu, Education, Epistemology, Eternal Return, Inquiry, Learning, Meno, Music, Pattern Recognition, Plato, Poetry, Recursion, Repetition, Rhythm, Teaching | Tagged , , , , , , , , , , , , , , , , , | 2 Comments

Ask Meno Questions • Code Meno Code

Adapted from Prospects for Inquiry Driven Systems The Trees, The Forest A sticking point of the whole discussion has just been reached. In the idyllic setting of a knowledge field the question of systematic inquiry takes on the following form: … Continue reading

Posted in Algorithms, Artificial Intelligence, Automata, Education, Epistemology, Formal Language Theory, Formal Languages, Inquiry, Inquiry Driven Systems, Intelligent Systems, Learning, Meno, Philosophy, Plato, Programming, Programming Languages, Socrates, Teaching | Tagged , , , , , , , , , , , , , , , , , | 2 Comments