Tag Archives: Inquiry

Semiotic Theory Of Information • 1

2014 Oct 06 On the subject of Peirce’s laws of information — or the semiotic theory of information — here are a few links that come to mind for possible future reference: Semiotic Information Information = Comprehension × Extension And … Continue reading

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

What’s The Use?

What’s the use of getting up in the morning? Never mind that now, I’m already up. Be constructive.  Try to focus on something positive. Okay, then, what’s the use of logic? You call that focused?  Be more specific! So what’s … Continue reading

Posted in Anthem, Inquiry, Inquiry Into Inquiry, Knowledge, Logic, Meditation, Science, Truth, Use, Utility | Tagged , , , , , , , , , | Leave a comment

Skiourosemiosis • 1

The resultant metaphysical problem now is this:Does the man go round the squirrel or not? — William James • Pragmatism ☞ Differential Analysis of Propositions and Transformations

Posted in C.S. Peirce, Differential Logic, Inquiry, Inquiry Driven Systems, Logic, Peirce, Pragmatic Maxim, Pragmatism, Semiotics, Skiourosemiosis, William James | Tagged , , , , , , , , , , | 3 Comments

¿Shifting Paradigms? • 4

Re: Foundational Crisis? • Harvey Friedman 2014 Aug 22 Shock and surprise are relative to a prior state of belief.  The belief that mathematics reduces to logic, and that of a purely deductive sort from given axioms, seems to be … Continue reading

Posted in C.S. Peirce, Foundations of Mathematics, Inquiry, Logic, Mathematics, Model Theory, Paradigms, Peirce, Programming, Proof Theory | Tagged , , , , , , , , , | Leave a comment

¿Shifting Paradigms? • 3

Re: What Is Good Mathematics? • Harvey Friedman 2014 Aug 17 Speaking of mathematics in the context of “general intellectual activity” brings to mind Raymond Wilder’s take on “mathematics as a cultural system”. I would like to keep that in … Continue reading

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¿Shifting Paradigms? • 2

Re: Timothy Chow • Shifting Paradigms? 2014 Jul 31 I can’t remember when I first started playing with Gödel codings of graph-theoretic structures, which arose in logical and computational settings, but I remember being egged on in that direction by … Continue reading

Posted in Algebra, Arithmetic, Combinatorics, Foundations of Mathematics, Graph Theory, Group Theory, Inquiry, Logic, Mathematics, Model Theory, Number Theory, Paradigms, Peirce, Programming, Proof Theory, Riffs and Rotes | Tagged , , , , , , , , , , , , , , , | Leave a comment

¿Shifting Paradigms? • 1

Re: Dana Scott • Shifting Paradigms? 2014 Jul 28 This is very interesting to me, but not all my posts make it to the list, so I will spend a few days reflecting on it and post a comment on … Continue reading

Posted in Foundations of Mathematics, Inquiry, Logic, Mathematics, Model Theory, Paradigms, Peirce, Programming, Proof Theory | Tagged , , , , , , , , | Leave a comment

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