Why conclusions should remain single

Journal of Philosophical Logic 40 (3):333-355 (2011)
Abstract
This paper argues that logical inferentialists should reject multiple-conclusion logics. Logical inferentialism is the position that the meanings of the logical constants are determined by the rules of inference they obey. As such, logical inferentialism requires a proof-theoretic framework within which to operate. However, in order to fulfil its semantic duties, a deductive system has to be suitably connected to our inferential practices. I argue that, contrary to an established tradition, multiple-conclusion systems are ill-suited for this purpose because they fail to provide a 'natural' representation of our ordinary modes of inference. Moreover, the two most plausible attempts at bringing multiple conclusions into line with our ordinary forms of reasoning, the disjunctive reading and the bilateralist denial interpretation, are unacceptable by inferentialist standards.
Keywords Inferentialism  Logical constants  Logical consequence  Multiple conclusions
Categories (categorize this paper)
Options
 Save to my reading list
Follow the author(s)
My bibliography
Export citation
Find it on Scholar
Edit this record
Mark as duplicate
Revision history Request removal from index
 
Download options
PhilPapers Archive


Upload a copy of this paper     Check publisher's policy on self-archival     Papers currently archived: 11,412
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
Rudolf Carnap (1943). Formalization of Logic. Cambridge, Mass.,Harvard University Press.

View all 20 references

Citations of this work BETA
Similar books and articles
Owen Griffiths (2013). Problems for Logical Pluralism. History and Philosophy of Logic 34 (2):170 - 182.
Marcus Rossberg & Daniel Cohnitz (2009). Logical Consequence for Nominalists. Theoria. An International Journal for Theory, History and Foundations of Science 24 (2):147-168.
K. Warmbrod (1999). Logical Constants. Mind 108 (431):503 - 538.
John MacFarlane, Logical Constants. Stanford Encyclopedia of Philosophy.
Analytics

Monthly downloads

Added to index

2011-06-19

Total downloads

13 ( #122,875 of 1,103,046 )

Recent downloads (6 months)

8 ( #29,715 of 1,103,046 )

How can I increase my downloads?

My notes
Sign in to use this feature


Discussion
Start a new thread
Order:
There  are no threads in this forum
Nothing in this forum yet.