Weak Rejection

Australasian Journal of Philosophy 95 (4):741-760 (2017)
  Copy   BIBTEX

Abstract

ABSTRACTLinguistic evidence supports the claim that certain, weak rejections are less specific than assertions. On the basis of this evidence, it has been argued that rejected sentences cannot be premisses and conclusions in inferences. We give examples of inferences with weakly rejected sentences as premisses and conclusions. We then propose a logic of weak rejection which accounts for the relevant phenomena and is motivated by principles of coherence in dialogue. We give a semantics for which this logic is sound and complete, show that it axiomatizes the modal logic KD45 and prove that it still derives classical logic on its asserted fragment. Finally, we defend previous logics of strong rejection as being about the linguistically preferred interpretations of weak rejections.

Similar books and articles

Negation, Denial, and Rejection.David Ripley - 2011 - Philosophy Compass 6 (9):622-629.
The revival of rejective negation.Lloyd Humberstone - 2000 - Journal of Philosophical Logic 29 (4):331-381.
Refutation Systems for a System of Nonsense-Logic.Robert Sochacki - 2011 - Logic and Logical Philosophy 20 (3):233-239.
Weak Intentionalism and the Death of the Subject.Robin Dunford - 2011 - Intellectual History Review 21 (1):43-56.
Weak Negation in Inquisitive Semantics.Vít Punčochář - 2015 - Journal of Logic, Language and Information 24 (3):323-355.
Be Nice! How Simple Imperatives Simplify Imperative Logic.Jörg Hansen - 2014 - Journal of Philosophical Logic 43 (5):965-977.
A theory of conclusions.Raymond Dacey - 1978 - Philosophy of Science 45 (4):563-574.
Weak Panpsychism and Environmental Ethics.John Andrews - 1998 - Environmental Values 7 (4):381-396.

Analytics

Added to PP
2017-02-23

Downloads
469 (#35,617)

6 months
199 (#10,468)

Historical graph of downloads
How can I increase my downloads?

Author Profiles

Luca Incurvati
University of Amsterdam
Julian J. Schlöder
University of Connecticut

Citations of this work

The Knowledge Norm for Inquiry.Christopher Willard-Kyle - 2023 - Journal of Philosophy 120 (11):615-640.
Negation on the Australian Plan.Francesco Berto & Greg Restall - 2019 - Journal of Philosophical Logic 48 (6):1119-1144.
Epistemic Multilateral Logic.Luca Incurvati & Julian J. Schlöder - 2022 - Review of Symbolic Logic 15 (2):505-536.
Update rules and semantic universals.Luca Incurvati & Giorgio Sbardolini - 2023 - Linguistics and Philosophy 46 (2):259-289.
The Varieties of Agnosticism.Filippo Ferrari & Luca Incurvati - 2022 - Philosophical Quarterly 72 (2):365-380.

View all 32 citations / Add more citations

References found in this work

Studies in the way of words.Herbert Paul Grice - 1989 - Cambridge: Harvard University Press.
Saving truth from paradox.Hartry H. Field - 2008 - New York: Oxford University Press.
The logic of paradox.Graham Priest - 1979 - Journal of Philosophical Logic 8 (1):219 - 241.
A Natural History of Negation.Jon Barwise & Laurence R. Horn - 1991 - Journal of Symbolic Logic 56 (3):1103.

View all 16 references / Add more references