Monthly Archives: February 2013

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

Poems and Programs

Words that do … A trendy misunderstanding has reared its head as to what the discipline of computing, and indeed the logic of science, are all about. I blame Penrose, of course, but he is only the most recent promulgator … Continue reading

Posted in Aesthetics, Artistic Differences, Computability, Effective Description, Existential Choice, Finitude, Inquiry, Limitation, Logic of Science, Mortality, Poetry, Programming, Voluntary Project | Tagged , , , , , , , , , , , , | Leave a comment

I Wonder, Wonder Who

Re: R.J. Lipton and K.W. Regan • Who Invented Boolean Functions? The question recalls recent discussions of discovery and invention in the mathematical field, bringing back to mind questions I’ve wondered about for as long as I can remember. Speaking … Continue reading

Posted in Anamnesis, Aristotle, Boole, Boolean Functions, C.S. Peirce, Discovery, Invention, Learning, Logic, Mathematics, Meno, Model Theory, Peirce, Plato, Propositional Calculus, Recollection, Semiotics, Socrates, Teaching | Tagged , , , , , , , , , , , , , , , , , , | Leave a comment

Notes On Categories : 1

Continued from “Notes On Categories” (14 Jul 2003) • Inquiry List • Ontology List NB. This page is a work in progress. I will have to dig up some still older notes from the days of pen and paper before … Continue reading

Posted in Category Theory, Computation, Graph Theory, Logic, Mathematics, Relation Theory, Type Theory | Tagged , , , , , , | 1 Comment

Theme One • A Program Of Inquiry : 4

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

Posted in Artificial Intelligence, C.S. Peirce, Computation, Cybernetics, Formal Language Theory, Inquiry, Inquiry Driven Systems, Intelligent Systems, Learning Theory, Logic, Peirce, Programming, Semiotics, Systems Theory | Tagged , , , , , , , , , , , , , | Leave a comment

Château Descartes

But if we are to select those dimensions which will be of the greatest assistance to our imagination, we should never attend to more than one or two of them as depicted in our imagination, even though we are well … Continue reading

Posted in Analytic Geometry, Cartesian Coordinate System, Cartesian Philosophy, Cartesian Product, Descartes, Dualism, Dyadicism, Inquiry, Logic, Mathematics, Philosophy, Reductionism, Relation Theory | Tagged , , , , , , , , , , , , | 3 Comments

The Difference That Makes A Difference That Peirce Makes : 1

Being one who does not view Peirce’s work as a flickering foreshadowing of analytic philosophy, logical whatevism, or anything else you want to call it, but leans more to thinking of the latter philosophies as fumbling fallbacks losing what ground … Continue reading

Posted in C.S. Peirce, Inquiry, Logic, Mathematics, Peirce, Philosophy, Pragmatism, Science, Scientific Method, Semiotics | Tagged , , , , , , , , , | 1 Comment