Synthese 100 (1):49 - 94 (1994)

Authors
Peter Milne
University of Stirling
Abstract
The thesis that, in a system of natural deduction, the meaning of a logical constant is given by some or all of its introduction and elimination rules has been developed recently in the work of Dummett, Prawitz, Tennant, and others, by the addition of harmony constraints. Introduction and elimination rules for a logical constant must be in harmony. By deploying harmony constraints, these authors have arrived at logics no stronger than intuitionist propositional logic. Classical logic, they maintain, cannot be justified from this proof-theoretic perspective. This paper argues that, while classical logic can be formulated so as to satisfy a number of harmony constraints, the meanings of the standard logical constants cannot all be given by their introduction and/or elimination rules; negation, in particular, comes under close scrutiny.
Keywords No keywords specified (fix it)
Categories (categorize this paper)
DOI 10.1007/BF01063921
Options
Edit this record
Mark as duplicate
Export citation
Find it on Scholar
Request removal from index
Revision history

Download options

PhilArchive copy


Upload a copy of this paper     Check publisher's policy     Papers currently archived: 51,232
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

The Logical Basis of Metaphysics.Michael DUMMETT - 1991 - Harvard University Press.
Elements of Intuitionism.Michael Dummett - 1977 - Oxford University Press.

View all 20 references / Add more references

Citations of this work BETA

An Argument for Minimal Logic.Nils Kürbis - 2019 - Dialectica 73 (1-2):31-63.
What is Wrong with Classical Negation?Nils Kurbis - 2015 - Grazer Philosophische Studien 92 (1):51-86.
Logical Consequence for Nominalists.Marcus Rossberg & Daniel Cohnitz - 2009 - Theoria : An International Journal for Theory, History and Fundations of Science 24 (2):147-168.
Implicit Definition and the Application of Logic.Thomas Kroedel - 2012 - Philosophical Studies 158 (1):131-148.

View all 11 citations / Add more citations

Similar books and articles

Analytics

Added to PP index
2009-01-28

Total views
172 ( #50,112 of 2,329,884 )

Recent downloads (6 months)
8 ( #81,642 of 2,329,884 )

How can I increase my downloads?

Downloads

My notes