Studia Logica 110 (1):121-163 (2022)

Authors
Lloyd Humberstone
Monash University
Abstract
An exclusive disjunction is true when exactly one of the disjuncts is true. In the case of the familiar binary exclusive disjunction, we have a formula occurring as the first disjunct and a formula occurring as the second disjunct, so, if what we have is two formula-tokens of the same formula-type—one formula occurring twice over, that is—the question arises as to whether, when that formula is true, to count the case as one in which exactly one of the disjuncts is true, counting by type, or as a case in which two disjuncts are true, counting by token. The latter is the standard answer: counting by tokens. James McCawley once suggested that, when the exclusively disjunctive construction in natural language is at issue, the construction should be treated as involving a multigrade connective whose semantic treatment is sensitive to the set of disjuncts rather than the corresponding multiset. Without any commitment as to whether there actually is such a construction, and conceding that for obvious pragmatic reasons such ‘repeated disjunct’ cases would be at best highly marginal, we note that for the binary case, this requires a nonstandard answer—count by type rather than by token—to the earlier question, and thus, an idempotent exclusive disjunction connective. Section 2 explores that idea and Section 3, a further idempotent variant for which it is the propositions expressed by the disjuncts, rather than the disjuncts themselves, that get counted once only in the case of repetitions. Sections 1 and 4 respectively set the stage for these investigations and conclude the discussion. More detailed considerations of points arising from the discussion but otherwise in danger of interrupting the flow are deferred to a ‘Longer Notes’ appendix at the end
Keywords No keywords specified (fix it)
Categories (categorize this paper)
ISBN(s)
DOI 10.1007/s11225-021-09954-1
Options
Edit this record
Mark as duplicate
Export citation
Find it on Scholar
Request removal from index
Translate to english
Revision history

Download options

PhilArchive copy


Upload a copy of this paper     Check publisher's policy     Papers currently archived: 70,039
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

From a Logical Point of View.W. V. O. Quine - 1953 - Harvard University Press.
Aboutness.Stephen Yablo - 2014 - Princeton University Press.
Elements of Symbolic Logic.Hans Reichenbach - 1947 - London: Dover Publications.
Natural Deduction: A Proof-Theoretical Study.Dag Prawitz - 1965 - Stockholm, Sweden: Dover Publications.
Quantifiers and Propositional Attitudes.Willard van Orman Quine - 1956 - Journal of Philosophy 53 (5):177-187.

View all 45 references / Add more references

Citations of this work BETA

No citations found.

Add more citations

Similar books and articles

On the Negative Disjuntion Property.Craig Graham McKay - 2018 - Australasian Journal of Logic 15 (1).
Free Choice Effects and Exclusive Disjunction.Melissa Fusco - forthcoming - Inquiry: An Interdisciplinary Journal of Philosophy:1-15.
Innocent Exclusion in an Alternative Semantics.Luis Alonso-Ovalle - 2008 - Natural Language Semantics 16 (2):115-128.
Exclusive or Inclusive Disjunction.James R. Hurford - 1974 - Foundations of Language 11 (3):409-411.

Analytics

Added to PP index
2021-07-06

Total views
15 ( #697,514 of 2,505,614 )

Recent downloads (6 months)
3 ( #209,579 of 2,505,614 )

How can I increase my downloads?

Downloads

My notes