Arthur Schopenhauer on Naturalness in Logic

In Language, Logic, and Mathematics in Schopenhauer. Cham, Schweiz: Birkhäuser. pp. 145-165 (2020)
  Copy   BIBTEX

Abstract

The question of naturalness in logic is widely discussed in today’s research literature. On the one hand, naturalness in the systems of natural deduction is intensively discussed on the basis of Aristotelian syllogistics. On the other hand, research on “natural logic” is concerned with the implicitly existing logical laws of natural language, and is therefore also interested in the naturalness of syllogistics. In both research areas, the question arises what naturalness exactly means, in logic as well as in language. We show, however, that this question is not entirely new: In his Berlin Lectures of the 1820s, Arthur Schopenhauer already discussed in depths what is natural and unnatural in logic. In particular, he anticipates two criteria for the naturalness of deduction that meet current trends in research: (1) Naturalness is what corresponds to the actual practice of argumentation in everyday language or scientific proof; (2) Naturalness of deduction is particularly evident in the form of Euler-type diagrams.

Links

PhilArchive



    Upload a copy of this work     Papers currently archived: 74,310

External links

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

Through your library

Similar books and articles

Wie Natürlich Ist Das System der Natürlichen Deduktion?Roger Schmit - 2004 - Journal for General Philosophy of Science / Zeitschrift für Allgemeine Wissenschaftstheorie 35 (1):129-145.
Dimensions of Naturalness.Helena Siipi - 2008 - Ethics and the Environment 13 (1):pp. 71-103.
Language, Logic, and Mathematics in Schopenhauer.Jens Lemanski (ed.) - 2020 - Basel, Schweiz: Birkhäuser.
Is Natural Food Healthy?Helena Siipi - 2013 - Journal of Agricultural and Environmental Ethics 26 (4):797-812.
A Brief History of Natural Deduction.Francis Jeffry Pelletier - 1999 - History and Philosophy of Logic 20 (1):1-31.
Euler-type Diagrams and the Quantification of the Predicate.Jens Lemanski - 2020 - Journal of Philosophical Logic 49 (2):401-416.
Two Natural Deduction Systems for Hybrid Logic: A Comparison. [REVIEW]Torben Braüner - 2004 - Journal of Logic, Language and Information 13 (1):1-23.
Naturalness in Context.Elanor Taylor - 2016 - Inquiry: An Interdisciplinary Journal of Philosophy 59 (4):1-24.
Natural Deduction for First-Order Hybrid Logic.Torben BraÜner - 2005 - Journal of Logic, Language and Information 14 (2):173-198.
Linguistics and Natural Logic.George Lakoff - 1970 - Synthese 22 (1-2):151 - 271.
A Natural Deduction System for First Degree Entailment.Allard M. Tamminga & Koji Tanaka - 1999 - Notre Dame Journal of Formal Logic 40 (2):258-272.

Analytics

Added to PP
2020-07-13

Downloads
12 (#797,607)

6 months
2 (#276,659)

Historical graph of downloads
How can I increase my downloads?

Author's Profile

Jens Lemanski
University of Münster

Citations of this work

World and Logic.Jens Lemanski - 2021 - London, Vereinigtes Königreich: College Publications.

Add more citations

References found in this work

No references found.

Add more references