Kant’s Crucial Contribution to Euler Diagrams

Journal for General Philosophy of Science / Zeitschrift für Allgemeine Wissenschaftstheorie 55 (1):59–78 (2024)
  Copy   BIBTEX

Abstract

Logic diagrams have been increasingly studied and applied for a few decades, not only in logic, but also in many other fields of science. The history of logic diagrams is an important subject, as many current systems and applications of logic diagrams are based on historical predecessors. While traditional histories of logic diagrams cite pioneers such as Leibniz, Euler, Venn, and Peirce, it is not widely known that Kant and the early Kantians in Germany and England played a crucial role in popularising Euler(-type) diagrams. In this paper, the role of the Kantians in the late eighteenth and early nineteenth centuries will be analysed in more detail. It shows that diagrams (or intuition in general) were a highly contentious topic that depend on the philosophical attitude and went beyond logic to touch on issues of physics, metaphysics, linguistics and, above all, mathematics.

Similar books and articles

Periods in the Use of Euler-type Diagrams.Jens Lemanski - 2017 - Acta Baltica Historiae Et Philosophiae Scientiarum 5 (1):50-69.
Euler-type Diagrams and the Quantification of the Predicate.Jens Lemanski - 2020 - Journal of Philosophical Logic 49 (2):401-416.
Euler’s visual logic.Eric Hammer & Sun-Joo Shin - 1998 - History and Philosophy of Logic 19 (1):1-29.
How Diagrams Can Support Syllogistic Reasoning: An Experimental Study.Yuri Sato & Koji Mineshima - 2015 - Journal of Logic, Language and Information 24 (4):409-455.
The Semiotics of Spider Diagrams.James Burton & John Howse - 2017 - Logica Universalis 11 (2):177-204.
Logik und Eristische Dialektik.Jens Lemanski - 2018 - In Daniel Schubbe & Matthias Koßler (eds.), Schopenhauer-Handbuch: Leben – Werk – Wirkung. Springer. pp. 160-165.
Logic and Visual Information.Eric Hammer - 1995 - CSLI Publications.
A Diagrammatic Inference System with Euler Circles.Koji Mineshima, Mitsuhiro Okada & Ryo Takemura - 2012 - Journal of Logic, Language and Information 21 (3):365-391.
Means or end? On the Valuation of Logic Diagrams.Jens Lemanski - 2016 - Logic-Philosophical Studies 14:98-122.

Analytics

Added to PP
2023-08-17

Downloads
324 (#61,018)

6 months
199 (#13,435)

Historical graph of downloads
How can I increase my downloads?

Author's Profile

Jens Lemanski
University of Münster

Citations of this work

Does Logic Have a History at All?Jens Lemanski - forthcoming - Foundations of Science:1-23.

Add more citations

References found in this work

The world as will and representation.Arthur Schopenhauer & E. F. J. Payne - 2010 - New York: Cambridge University Press. Edited by Judith Norman, Alistair Welchman & Christopher Janaway.
World and Logic.Jens Lemanski - 2021 - London, Vereinigtes Königreich: College Publications.
Symbolic Logic.John Venn - 1881 - Mind 6 (24):574-581.

View all 21 references / Add more references