Category Archives: Inquiry Driven Systems

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

Architectonics of Inquiry • 1

Re: R.J. Lipton • Teaching Helps Research Along these lines, if somewhat tangentially, are some questions that I’ve wondered about for many years. How do research and teaching interact, and how might they act to catalyze one another in the … Continue reading

Posted in Artificial Intelligence, Automated Research Tools, C.S. Peirce, Discovery, Educational Systems Design, Educational Technology, Inquiry, Inquiry Driven Systems, Inquiry Into Inquiry, Instruction, Peirce, Research Technology | Tagged , , , , , , , , , , , | 3 Comments

And Now A Word From Our Sponsor …

Does your dualism lose its flavor on the bedpost overnight? Unblock your inquiry with a dose of Peirce’s Elixir Triadic❢ ☞ Inquiry Driven Systems • Are There Apps For That? Frequently encountered complementarities, dualities, or design trade-offs Integrating data-driven (empiricist) … Continue reading

Posted in Analogy, C.S. Peirce, Dualism, Dyadicism, Inquiry, Inquiry Driven Systems, Inquiry Into Inquiry, Inquiry Support Technology, Intelliscope, Pragmatism, Reductionism, Tertium Quid, Thirdness, Triadic Relations, Triadicity | 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

The Way The Cookie Uncrumbles Itself

I put down the cup and turn to my mind.  It is up to my mind to find the truth.  But how?  What grave uncertainty, whenever the mind feels overtaken by itself;  when it, the seeker, is also the obscure … Continue reading

Posted in Anamnesis, Inquiry, Inquiry Driven Systems, Inquiry Into Inquiry, Madeleine, Memory, Proust, Time | Tagged , , , , , , , | 1 Comment

Theme One • A Program Of Inquiry 4

Re: Next Polymath Project • What, When, Where? Here’s a bit of data on the Theme One Program I worked on all through the 1980s.  My aim was to develop fundamental algorithms and data structures to support an integrated learning … Continue reading

Posted in Artificial Intelligence, C.S. Peirce, Cognition, Computation, Constraint Satisfaction Problems, Cybernetics, Formal Languages, Inquiry, Inquiry Driven Systems, Intelligent Systems, Learning Theory, Logic, Peirce, Semiotics | Tagged , , , , , , , , , , , , , | 8 Comments