Koshkin, Sergiy (2022) Is Peirce's reduction thesis gerrymandered? Transactions of the Charles S. Peirce Society, 58 (4). pp. 271-300. ISSN 1558-9587
|
Text
Peirce's Reduction Thesis.pdf Download (367kB) | Preview |
Abstract
We argue that traditional formulations of the reduction thesis that tie it to privileged relational operations do not suffice for Peirce's justification of the categories, and invite the charge of gerrymandering to make it come out as true. We then develop a more robust invariant formulation of the thesis by explicating the use of triads in any relational operations, which is immune to that charge. The explication also allows us to track how Thirdness enters the structure of higher order relations, and even propose a numerical measure of it. Our analysis reveals new conceptual phenomena when negation or disjunction are used to compound relations.
| Export/Citation: | EndNote | BibTeX | Dublin Core | ASCII/Text Citation (Chicago) | HTML Citation | OpenURL |
| Social Networking: |
| Item Type: | Published Article or Volume | ||||||
|---|---|---|---|---|---|---|---|
| Creators: |
|
||||||
| Keywords: | logic of relations; reduction thesis; genuine triads; Thirdness; hypostatic abstraction; bonding algebra; relative product; logical operations; PAL; teridentity; existential graphs; mutual information | ||||||
| Subjects: | Specific Sciences > Mathematics > History of Philosophy Specific Sciences > Mathematics > Logic General Issues > Scientific Metaphysics General Issues > Philosophers of Science |
||||||
| Depositing User: | Dr. Sergiy Koshkin | ||||||
| Date Deposited: | 11 Jun 2024 17:18 | ||||||
| Last Modified: | 11 Jun 2024 17:18 | ||||||
| Item ID: | 23543 | ||||||
| Journal or Publication Title: | Transactions of the Charles S. Peirce Society | ||||||
| Publisher: | Indiana University Press | ||||||
| Official URL: | https://muse.jhu.edu/article/886447 | ||||||
| DOI or Unique Handle: | https://doi.org/10.2979/csp.2022.a886447 | ||||||
| Subjects: | Specific Sciences > Mathematics > History of Philosophy Specific Sciences > Mathematics > Logic General Issues > Scientific Metaphysics General Issues > Philosophers of Science |
||||||
| Date: | 2022 | ||||||
| Page Range: | pp. 271-300 | ||||||
| Volume: | 58 | ||||||
| Number: | 4 | ||||||
| ISSN: | 1558-9587 | ||||||
| URI: | https://philsci-archive.pitt.edu/id/eprint/23543 |
Monthly Views for the past 3 years
Monthly Downloads for the past 3 years
Plum Analytics
Altmetric.com
Actions (login required)
 |
View Item |
![[feed]](http://philsci-archive.pitt.edu/style/images/feed-icon-32x32.png){kind=icon}