Direct Reduction of Syllogisms with Byzantine Diagrams

History and Philosophy of Logic:1-22 (2024)
  Copy   BIBTEX

Abstract

The paper explores the potential of Byzantine diagrams in syllogistic logic. Byzantine diagrams are originated by Byzantine scholars in the early modern period to use as tools for teaching and studying Aristotelian logic. This paper presents pioneering work on employing Byzantine diagrams for checking syllogistic validity through reduction.

Categories

Keywords

Reprint years

DOI

10.1080/01445340.2024.2336411

Other Versions

No versions found

Links

PhilArchive



    Upload a copy of this work     Papers currently archived: 107,191

External links

Setup an account with your affiliations in order to access resources via your University's proxy server

Through your library

My notes

Similar books and articles

Direct Reduction of Syllogisms with Byzantine Diagrams.Germany Münster - forthcoming - History and Philosophy of Logic:1-22.
On the Expressivity of Byzantine Diagrams in Logic.Jens Lemanski & Reetu Bhattacharjee - 2024 - In Jens Lemanski, Mikkel Willum Johansen, Emmanuel Manalo, Petrucio Viana, Reetu Bhattacharjee & Richard Burns, Diagrammatic Representation and Inference 14th International Conference, Diagrams 2024, Münster, Germany, September 27 – October 1, 2024, Proceedings. Cham: Springer. pp. 429–445.
Diagrammatic Representation and Inference 14th International Conference, Diagrams 2024, Münster, Germany, September 27 – October 1, 2024, Proceedings.Jens Lemanski, Mikkel Willum Johansen, Emmanuel Manalo, Petrucio Viana, Reetu Bhattacharjee & Richard Burns (eds.) - 2024 - Cham: Springer.
How Diagrams Can Support Syllogistic Reasoning: An Experimental Study.Yuri Sato & Koji Mineshima - 2015 - Journal of Logic, Language and Information 24 (4):409-455.
Inductive Inferences in CL Diagrams.Jens Lemanski & Reetu Bhattacharjee - 2022 - In Matthias Thimm, Jürgen Landes & Kenneth Skiba, Proceedings of the First International Conference on Foundations, Applications, and Theory of Inductive Logic (FATIL2022). deposit_Hagen. pp. 70-73.
Visual Reasoning with Diagrams.Sun-Joo Shin & Amirouche Moktefi (eds.) - 2013 - Basel: Birkhaüser.
Means or end? On the Valuation of Logic Diagrams.Jens Lemanski - 2016 - Logic-Philosophical Studies 14:98-122.
The geometry of diagrams and the logic of syllogisms.Richard Bosley - 2013 - In Sun-Joo Shin & Amirouche Moktefi, Visual Reasoning with Diagrams. Basel: Birkhaüser.
On the Origin of Venn Diagrams.Amirouche Moktefi & Jens Lemanski - 2022 - Axiomathes 32 (3):887-900.
Teaching Syllogistic Logic via a Retooled Venn Diagrammatical Technique.Jeremiah Joven Joaquin & Robert James M. Boyles - 2017 - Teaching Philosophy 40 (2):161–180.

Analytics

Added to PP
2024-07-29

Downloads
11 (#1,543,125)

6 months
4 (#1,135,179)

Historical graph of downloads
How can I increase my downloads?

Author's Profile

Reetu Bhattacharjee
University of Münster

Citations of this work

Add more citations

References found in this work

No references found.

Add more references