Tag Archives: Recursion

Infinite Uses → Finite Means

Posted on April 17, 2013 by Jon Awbrey

The idea that a language is based on a system of rules determining the interpretation of its infinitely many sentences is by no means novel.  Well over a century ago, it was expressed with reasonable clarity by Wilhelm von Humboldt in … Continue reading →

Posted in Automata, Chomsky, Descartes, Finite Means, Formal Grammars, Formal Languages, Foundations of Mathematics, Infinite Use, Innate Ideas, Linguistics, Pigeonhole Principle, Recursion, Syntax, Wilhelm von Humboldt | Tagged , , , , , , , , , , , , , | Leave a comment

Quotiens?

Posted on February 28, 2013 by Jon Awbrey

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

Higher Order Sign Relations • 1

Posted on August 1, 2012 by Jon Awbrey

When interpreters reflect on their use of signs they require an appropriate technical language in which to pursue their reflections.  They need signs referring to sign relations, signs referring to elements and components of sign relations, and signs referring to … Continue reading →

Posted in C.S. Peirce, Higher Order Sign Relations, Inquiry, Inquiry Into Inquiry, Logic, Mathematics, Recursion, Reflection, Relation Theory, Semiotics, Sign Relations, Triadic Relations, Type Theory | Tagged , , , , , , , , , , , , | 8 Comments