Jon Awbrey
Jon Awbrey
M.A. (Math), M.A. (Psych)
https://oeis.org/wiki/User:Jon_Awbrey
About
7
Publications
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Citations
Publications
Publications (7)
Eight summers ago I hit on what struck me as a new insight into one of the most recalcitrant problems in Peirce’s semiotics and logic of science, namely, the relation between “the manner in which different representations stand for their objects” and the way in which different inferences transform states of information. I roughed out a sketch of my...
Today's society looks to universities for solutions to broad-based issues that require cross-disciplinary expertise. Yet, the organizational structure of our institutions remains locked in academic and administrative silos that have little genuine ability to communicate or to recognize the interdependence of knowledge. Why does the capacity to comm...
http://www.cspeirce.com/menu/library/aboutcsp/awbrey/integrat.htm
http://web.archive.org/web/19970626071826/http://chss.montclair.edu/inquiry/fall95/awbrey.html
http://www.abccommunity.org/tmp-a.html
Questions
Questions (22)
Questions about the relationship between “interpreters” and “interpretants” in Peircean semiotics have broken out again. To put the matter as pointedly as possible — because I know someone or other is bound to — “In a theory of three‑place relations among objects, signs, and interpretant signs, where indeed is there any place for the interpretive agent?”
Resources —
Survey of Pragmatic Semiotic Information
Survey of Semiotics, Semiosis, Sign Relations
Riffs and Rotes • Happy New Year 2025
Let pₙ = the n-th prime.
Then 2025
= 81 ∙ 25
= 3⁴ ∙ 5²
= (p₂)⁴ ∙ (p₃)²
= {p_2}^4 ∙ {p_3}^2
= {p_2}^{{p_1}^{p_1}} ∙ {p_3}^{p_1}
= {p_{p_1}}^{{p_1}^{p_1}} ∙ {p_{p_2}}^{p_1}
= {p_{p_1}}^{{p_1}^{p_1}} ∙ {p_{p_{p_1}}}^{p_1}
No information is lost by dropping the terminal 1s. Thus we may write the following form.
2025 = {p_p}^{p^p} ∙ {p_{p_p}}^p
The article linked below tells how forms of that sort correspond to a family of digraphs called “riffs” and a family of graphs called “rotes”. The riff and rote for 2025 are shown in the next two Figures.
Riff 2025
Rote 2025
Reference —
Riffs and Rotes
