Tag Archives: Information

Semiotic Theory Of Information • 2

2014 Oct 06 Some portions of a paper Susan Awbrey and I presented at a Society for Applied Learning Technology conference in 1990 may be relevant at this juncture. Exploring Research Data Interactively • Theme One • A Program of … Continue reading

Posted in C.S. Peirce, Information, Information Theory, Inquiry, Inquiry Driven Systems, Logic, Logic of Relatives, Mathematics, Peirce, Peirce List, Pragmatic Information, Pragmatism, Relation Theory, Semiotic Information, Semiotics, Sign Relations, Triadic Relations, Triadicity | Tagged , , , , , , , , , , , , , , , , , | 12 Comments

Doubt, Uncertainty, Dispersion, Entropy • 2

Re: John Baez • Entropy and Information in Biological Systems To develop the concept of evolutionary games as “learning” processes in which information is gained over time. A fund of ideas toward that end can be found in the work … Continue reading

Posted in Animata, C.S. Peirce, Cybernetics, Dispersion, Doubt, Entropy, Evolution, Information, Information Theory, Inquiry, Inquiry Driven Systems, Inquiry Into Inquiry, Learning Theory, Uncertainty | Tagged , , , , , , , , , , , , , | Leave a comment

Doubt, Uncertainty, Dispersion, Entropy • 1

Re: Peirce List • Stephen Rose Just a note to anchor a series of recurring thoughts that come to mind in relation to a Peirce List discussion of entropy etc., but I won’t have much to say on the bio-chemico-physico-thermo-dynamic … Continue reading

Posted in Animata, Aristotle, C.S. Peirce, Cybernetics, Differential Logic, Dispersion, Doubt, Entropy, Information, Inquiry, Inquiry Driven Systems, Inquiry Into Inquiry, Peirce, Semiotic Information, Semiotics, Sign Relations, Uncertainty | Tagged , , , , , , , , , , , , , , , , | Leave a comment

Objects, Models, Theories : 4

I need to stay with this problem a while … What are objects, models, theories, and how do they relate to one another? In contemplating this problem I always find it helpful to ruminate on the diagram shown above — … Continue reading

Posted in Adaptive Systems, Analogy, Aristotle, Artificial Intelligence, Biological Systems, C.S. Peirce, Computational Complexity, Evolution, Gödel, Information, Information Theory, Inquiry, Inquiry Driven Systems, Learning Theory, Logic, Logic of Science, Mathematical Models, Mental Models, Model Theory, Natural Intelligence, Paradigms, Peirce, Pragmata, Semiotics, Sign Relations | Tagged , , , , , , , , , , , , , , , , , , , , , , , , | 2 Comments

Objects, Models, Theories : 3

Re: Peirce List Discussion • Tom Gollier Here my task is to build bridges between several different classical and contemporary uses of the word model, so I don’t have the luxury of complete control over the words in play but … Continue reading

Posted in Adaptive Systems, Analogy, Aristotle, Artificial Intelligence, Biological Systems, C.S. Peirce, Computational Complexity, Evolution, Gödel, Information, Inquiry, Inquiry Driven Systems, Learning Theory, Logic, Logic of Science, Mathematical Models, Mental Models, Model Theory, Natural Intelligence, Peirce, Pragmata, Semiotics, Sign Relations | Tagged , , , , , , , , , , , , , , , , , , , , , , | 4 Comments

Objects, Models, Theories : 2

Re: K.W. Regan • The Graph Of Math Re: Artem Kaznatcheev • Three Types Of Mathematical Models What — if anything — is the common sense that connects the different senses of the word model, as it has been used … Continue reading

Posted in Adaptive Systems, Analogy, Aristotle, Artificial Intelligence, Biological Systems, C.S. Peirce, Computational Complexity, Evolution, Gödel, Information, Inquiry, Inquiry Driven Systems, Learning Theory, Logic, Logic of Science, Mathematical Models, Mental Models, Model Theory, Natural Intelligence, Peirce, Pragmata, Semiotics | Tagged , , , , , , , , , , , , , , , , , , , , , | 8 Comments

Objects, Models, Theories • 1

Happy Birthday, Charles Sanders Peirce❢ — September 10, 1839 Re: Artem Kaznatcheev • Three Types of Mathematical Models Comment 1 In speaking of models one tends to find denizens of different disciplines talking at cross purposes to one another.  Logicians … Continue reading

Posted in Adaptive Systems, Analogy, Biological Systems, C.S. Peirce, Information, Inquiry, Inquiry Driven Systems, Learning Theory, Logic, Logic of Science, Mathematical Models, Mathematics, Mental Models, Model Theory, Pragmata, Semiotics, Sign Relations, Triadic Relations, Visualization | Tagged , , , , , , , , , , , , , , , , , , | 8 Comments

Where Is Fancy Bred?

Re: Artem Kaznatcheev • Fitness Landscapes as Mental & Mathematical Models of Evolution The question of “mental models” has occupied my thoughts for quite a while. As intelligent agents with a capacity for inquiry, we have ways of forming and … 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 , , , , , , , , , , , , , , , , , , , | 1 Comment

What part do arguments from authority play in mathematical reasoning?

In forming your answer you may choose to address any or all of the following aspects of the question: Descriptive What part do arguments from authority actually play in mathematical reasoning? Normative What part do arguments from authority ideally play … Continue reading

Posted in Artificial Intelligence, Authority, Control, Control Theory, Cybernetics, Fixation of Belief, History of Mathematics, History of Science, Information, Information Theory, Inquiry, Inquiry Driven Systems, Intelligent Systems, Intuition, Logic, Logic of Science, Mathematical Intuition, Mathematical Reasoning, Operations Research, Optimal Control, Optimization, Philosophy of Science, Scientific Method | Tagged , , , , , , , , , , , , , , , , , , , , , , | 2 Comments

C.S. Peirce : Information = Comprehension × Extension

Re: R.J. Lipton and K.W. Regan • A Most Perplexing Mystery The inverse relationship between symmetry and diversity — that we see for example in the lattice-inverting map of a Galois correspondence — is a variation on an old theme … Continue reading

Posted in C.S. Peirce, Comprehension, Diversity, Extension, Information, Information = Comprehension × Extension, Inquiry, Intension, Logic, Logic of Science, Peirce, Reciprocity, Semiotics, Sign Relations, Symmetry, Variety | Tagged , , , , , , , , , , , , , , , | 13 Comments