Author Archives: Jon Awbrey

C.S. Peirce • New Elements (Καινὰ Στοιχεῖα) • Comment 1

Re: Peirce List • (1) • (2) Re: C.S. Peirce • New Elements (Καινὰ Στοιχεῖα) • 1 Interest in the reading of Peirce’s “New Elements” appears to be flagging of late, so I thought I might spice things up by … Continue reading

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C.S. Peirce • New Elements (Καινὰ Στοιχεῖα) • 1

Selections from C.S. Peirce, “New Elements (Καινὰ Στοιχεῖα)” Editors’ Headnote from The Essential Peirce, Volume 2 MS 517.  [First published in NEM 4:235–63.  This document was most probably written in early 1904, as a preface to an intended book on … Continue reading

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Light in the Clearing

I will keep returning to my core values. I will keep speaking from the center of my experience. Disorder all around me? — What does it matter? As long as there is order in my mind, As long as my … Continue reading

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Higher Order Sign Relations • 1

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

Καινὰ Στοιχεῖα

Angelina Suite • Duggan Place • Stratford • Ontario • 15 July 2012 • 5:24 am

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Notes on the Foundations of Mathematics • 2

Selections from R.L. Wilder, Introduction to the Foundations of Mathematics I.   The Axiomatic Method Since the axiomatic method as it is now understood and practiced by mathematicians is the result of a long evolution in human thought, we shall … Continue reading

Posted in C.S. Peirce, Foundations of Mathematics, Kaina Stoicheia, Logic, Mathematics, Semiotics | Tagged , , , , , | Leave a comment

Notes on the Foundations of Mathematics • 1

Re: Peirce List Discussions 2012 • (1) • (2) • (3) • (4) Cf: Previous Discussions 2005–2006 • (A) • (B) • (C) I will have to be off and on the internet for the next month or so, and … Continue reading

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Approaching Peirce

I gradually grow accustomed to the distinct possibility that there will always be different readings, and even divergent interpretations of Peirce’s writings. Some of that appears to be a two- or three-cultures issue — the readings that befit aesthetic, cultural, … Continue reading

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Peircean Semiotics and Triadic Sign Relations • 2

When I returned to graduate school for the third time around, this time in systems engineering, I had in mind integrating my long‑standing projects investigating the dynamics of information, inquiry, learning, and reasoning, viewing each as a process whose trajectory evolves … Continue reading

Posted in C.S. Peirce, Inquiry, Logic, Logic of Relatives, Relation Theory, Semiotics, Sign Relations | Tagged , , , , , , | 3 Comments

Peircean Semiotics and Triadic Sign Relations • 1

As a “guide for the perplexed”, at least when it comes to semiotics, I’ll use this thread to collect a budget of resources I think have served to clarify the topic in the past. By way of a first offering, … Continue reading

Posted in C.S. Peirce, Inquiry, Logic, Logic of Relatives, Relation Theory, Semiotics, Sign Relations | Tagged , , , , , , | 3 Comments