The accident of logical constants


Authors
Tristan Grøtvedt Haze
University of Sydney
Abstract
Work on the nature and scope of formal logic has focused unduly on the distinction between logical and extra-logical vocabulary; which argument forms a logical theory countenances depends not only on its stock of logical terms, but also on its range of grammatical categories and modes of composition. Furthermore, there is a sense in which logical terms are unnecessary. Alexandra Zinke has recently pointed out that propositional logic can be done without logical terms. By defining a logical-term-free language with the full expressive power of first-order logic with identity, I show that this is true of logic more generally. Furthermore, having, in a logical theory, non-trivial valid forms that do not involve logical terms is not merely a technical possibility. As the case of adverbs shows, issues about the range of argument forms logic should countenance can quite naturally arise in such a way that they do not turn on whether we countenance certain terms as logical.
Keywords formal validity  logical constants  logical terms  nature of logic
Categories (categorize this paper)
DOI 10.1002/tht3.440
Options
Edit this record
Mark as duplicate
Export citation
Find it on Scholar
Request removal from index
Revision history

Download options

Our Archive
External links

Setup an account with your affiliations in order to access resources via your University's proxy server
Configure custom proxy (use this if your affiliation does not provide a proxy)
Through your library

References found in this work BETA

Truth and Truthmakers.D. M. Armstrong - 2004 - Cambridge University Press.
Philosophy of Logic.W. V. O. Quine - 1970 - Harvard University Press.
The Metaphysics of Logical Consequence.Alexandra Zinke - 2018 - Frankfurt a.M.: Klostermann.
The Logical Form of Action Sentences.Donald Davidson - 1967 - In Nicholas Rescher (ed.), The Logic of Decision and Action. University of Pittsburgh Press.
Notebooks, 1914-1916.Ludwig Wittgenstein - 1969 - University of Chicago Press.

View all 22 references / Add more references

Citations of this work BETA

No citations found.

Add more citations

Similar books and articles

The Theory of Form Logic.Wolfgang Freitag & Alexandra Zinke - 2012 - Logic and Logical Philosophy 21 (4):363-389.
Logical Particularism.Nicole Wyatt & Gillman Payette - 2018 - In Jeremy Wyatt, Nikolaj J. L. L. Pedersen & Nathan Kellen (eds.), Pluralisms in Truth and Logic. Palgrave Macmillan. pp. 277-299.
Logical Constants.K. Warmbrod - 1999 - Mind 108 (431):503 - 538.
Logical Constants.J. A. Chadwick - 1927 - Mind 36 (141):1-11.
The Formal-Structural View Of Logical Consequence.Gila Sher - 2001 - Philosophical Review 110 (2):241-261.
Logical Constants.K. WarmbrÕ & D. - 1999 - Mind 108 (431):503-538.
A Conception of Tarskian Logic.Gila Sher - 1989 - Pacific Philosophical Quarterly 70 (4):341-368.
Modality, Invariance, and Logical Truth.Timothy McCarthy - 1987 - Journal of Philosophical Logic 16 (4):423 - 443.
A Hierarchy of Logical Constants.Alexandra Zinke - 2017 - In Pavel Arazim & Tomas Lavicka (eds.), The Logica Yearbook 2016. London: College Publications. pp. 305-316.

Analytics

Added to PP index
2020-01-11

Total views
141 ( #59,580 of 2,292,002 )

Recent downloads (6 months)
141 ( #3,629 of 2,292,002 )

How can I increase my downloads?

Downloads

My notes

Sign in to use this feature