Category Archives: C.S. Peirce

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

Posted on August 11, 2012 by Jon Awbrey

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 →

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

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

Posted on August 9, 2012 by Jon Awbrey

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 →

Posted in C.S. Peirce, Foundations of Mathematics, Logic, Mathematics, Peirce, Semiotics | Tagged , , , , , | 3 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

Notes on the Foundations of Mathematics • 2

Posted on July 5, 2012 by Jon Awbrey

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

Posted on July 5, 2012 by Jon Awbrey

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 →

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

Peircean Semiotics and Triadic Sign Relations • 2

Posted on June 27, 2012 by Jon Awbrey

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

Posted on June 27, 2012 by Jon Awbrey

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

Definition and Determination • 8

Posted on June 13, 2012 by Jon Awbrey

Re: Peirce List • Jim Willgoose (1) (2) The most general meaning of “formal” is “concerned with form”, but the Latin “forma” can mean “beauty” in addition to “form”, so perhaps a normative “goodness of form” enters at this root. … Continue reading →

Posted in C.S. Peirce, Definition, Determination, Inquiry, Logic, Mathematics, Peirce, Phenomenology, Semiotics | Tagged , , , , , , , , | 9 Comments

Definition and Determination • 7

Posted on June 11, 2012 by Jon Awbrey

Peirce clearly set great store by his 1902 definition of logic as formal semiotic, whose principles he proposed to deduce by evident and rigorous mathematical reasoning from his triadic relational definition of a sign. It is from this definition, together … Continue reading →

Posted in C.S. Peirce, Definition, Determination, Inquiry, Logic, Mathematics, Peirce, Phenomenology, Semiotics | Tagged , , , , , , , , | 6 Comments

Definition and Determination • 6

Posted on June 6, 2012 by Jon Awbrey

Re: Peirce List • Gary Fuhrman (1) (2) The following two passages may help to clarify Peirce’s admittedly peculiar usage of “formal” in this context. C.S. Peirce • Objective Logic C.S. Peirce • Logic as Semiotic Re: Peirce List • … Continue reading →

Posted in C.S. Peirce, Definition, Determination, Inquiry, Logic, Mathematics, Peirce, Phenomenology, Semiotics | Tagged , , , , , , , , | 6 Comments