Varieties of logical consequence by their resistance to logical nihilism

Book chapter


Russell, Gillian. (2019). Varieties of logical consequence by their resistance to logical nihilism. In In Wyatt, Jeremy, Pedersen, Nikolaj J. L. L. and Kellen, Nathan (Ed.). Pluralisms in truth and logic pp. 331-361 Palgrave Macmillan Ltd.. https://doi.org/10.1007/978-3-319-98346-2_14
AuthorsRussell, Gillian
EditorsWyatt, Jeremy, Pedersen, Nikolaj J. L. L. and Kellen, Nathan
Abstract

Some recent work on logical pluralism has suggested that the view might be in danger of collapsing into logical nihilism, the view on which there are no valid arguments. The goal of this chapter is to argue that the prospects for preventing such a collapse vary with one’s account of logical consequence. Section 1 lays out four central approaches to consequence, beginning with the approaches Etchemendy (On the Concept of Logical Consequence. CSLI: Stanford, 1999) called interpretational and representational, and then adding a Quinean substitutional approach as well as the more recent universalist account given in Williamson (Modal Logic as Metaphysics. Oxford: Oxford University Press, 2013; Semantic Paradoxes and Abductive Methodology. In Reflections on the Liar, ed. B. Armour-Garb, 325–346. Oxford: Oxford University Press, 2017). Section 2 recounts how the threat of logical nihilism arises in the debate over logical pluralism. Section 3 then looks at the ways the rival accounts of logical consequence are better or worse placed to resist the threat.

Keywordslogical nihilism; logical minimalism; logical pluralism; interpretational logical consequence; representationalist logical consequence; substitutional logical consequence; universalist logical consequence; Timothy Williamson; empty names; vagueness; incomplete predicates; self-reference; overdetermination; inconsistency
Page range331-361
Year2019
Book titlePluralisms in truth and logic
PublisherPalgrave Macmillan Ltd.
Place of publicationCham
ISBN9783319983455
3319983466
3319983458
Digital Object Identifier (DOI)https://doi.org/10.1007/978-3-319-98346-2_14
Publisher's version
License
All rights reserved
File Access Level
Controlled
Output statusPublished
Publication dates
Online30 Dec 2018
Publication process dates
Deposited30 Sep 2021
Permalink -

https://acuresearchbank.acu.edu.au/item/8wwq2/varieties-of-logical-consequence-by-their-resistance-to-logical-nihilism

Restricted files

Publisher's version

  • 1
    total views
  • 0
    total downloads
  • 1
    views this month
  • 0
    downloads this month
These values are for the period from 19th October 2020, when this repository was created.

Export as

Related outputs

Logic : A feminist approach
Russell, Gillian. (2020). Logic : A feminist approach. In In Garchar, Kimberly K. and Shew, Melissa M. (Ed.). Philosophy for girls : An invitation to a life of thought pp. 79-98 Oxford University Press. https://doi.org/10.1093/oso/9780190072919.003.0007
Logic isn't normative
Russell, Gillian. (2020). Logic isn't normative. Inquiry. 63(3-4), pp. 371 - 388. https://doi.org/10.1080/0020174X.2017.1372305
Subordinating speech and speaking up
Russell, Gillian. (2019). Subordinating speech and speaking up. In In E. Lepore and D. Sosa (Ed.). Oxford Studies in Philosophy of Language; Volume 1 pp. 178 - 207 Oxford University Press. https://doi.org/10.1093/oso/9780198836568.001.0001
Deviance and vice: Strength as a theoretical virtue in the epistemology of logic
Russell, Gillian. (2019). Deviance and vice: Strength as a theoretical virtue in the epistemology of logic. Philosophy and Phenomenological Research. 99(3), pp. 548 - 563. https://doi.org/10.1111/phpr.12498
Breaking the spell: Waismann's papers on the analytic/synthetic distinction
Russell, Gillian. (2019). Breaking the spell: Waismann's papers on the analytic/synthetic distinction. In In D. Makovec and S. Shapiro (Ed.). Friedrich Waismann: The Open Texture of Analytic Philosophy pp. 159 - 187 Palgrave Macmillan Ltd.. https://doi.org/10.1007/978-3-030-25008-9_8
Logical pluralism without the normativity
Blake-Turner, Christopher and Russell, Gillian. (2018). Logical pluralism without the normativity. Synthese. https://doi.org/10.1007/s11229-018-01939-3
Logical nihilism: Could there be no logic
Russell, Gillian K.. (2018). Logical nihilism: Could there be no logic. Philosophical issues. 28(1), pp. 308 - 324. https://doi.org/10.1111/phis.12127
Indexicals and Sider’s Neo-linguistic Account of Necessity
Russell, Gillian. (2017). Indexicals and Sider’s Neo-linguistic Account of Necessity. Res Philosophica. 94(3), pp. 385 - 397. https://doi.org/10.11612/resphil.1576
The justification of the basic laws of logic
Russell, Gillian. (2015). The justification of the basic laws of logic. Journal of Philosophical Logic. 44(6), pp. 793 - 803. https://doi.org/10.1007/s10992-015-9360-z
Metaphysical analyticity and the epistemology of logic
Russell, Gillian K.. (2014). Metaphysical analyticity and the epistemology of logic. Philosophical Studies. 171(1), pp. 161 - 175. https://doi.org/10.1007/s11098-013-0255-y
Hybrid identities and just being yourself
Russell, Gillian. (2014). Hybrid identities and just being yourself. Inquiry. 57(4), pp. 455 - 465. https://doi.org/10.1080/0020174X.2014.905267
Necessity and meaning
Russell, Gillian. (2012). Necessity and meaning. In In Russell, Gillian and Graff Fara, Delia (Ed.). Routledge companion to philosophy of language pp. 782-794 Routledge.
Lessons from the Logic of Demonstratives : What indexicality teaches us about logic, and vice versa
Russell, Gillian. (2012). Lessons from the Logic of Demonstratives : What indexicality teaches us about logic, and vice versa. In In Restall, Greg and Russell, Gillian (Ed.). New waves in philosophical logic pp. 190-216 Palgrave Macmillan. https://doi.org/10.1057/9781137003720_11
Development of a standardised Occupational Therapy - Driver Off-Road Assessment Battery to assess older and/or functionally impaired drivers
Unsworth, Carolyn, Baker, Anne, Taitz, Carla, Chan, Siew-Pang, Pallant, Julie, Russell, Kay and Odell, Morris. (2012). Development of a standardised Occupational Therapy - Driver Off-Road Assessment Battery to assess older and/or functionally impaired drivers. Australian Occupational Therapy Journal. 59(1), pp. 23 - 36. https://doi.org/10.1111/j.1440-1630.2011.00979.x
A new problem for the linguistic doctrine of necessary truth
Russell, Gillian. (2010). A new problem for the linguistic doctrine of necessary truth. In In Wright, Cory D. and Pedersen, Nikolaj J. L. L. (Ed.). New waves in truth pp. 267-281 Palgrave Macmillan. https://doi.org/10.1057/9780230296992_18
Epistemic viciousness in the martial arts
Russell, Gillian. (2010). Epistemic viciousness in the martial arts. In In Priest, Graham and Young, Damon (Ed.). Martial arts and philosophy : Beating and nothingness pp. 129-144 Open Court Publishing Company.
Analyticity in externalist languages
Russell, Gillian. (2010). Analyticity in externalist languages. In In Sawyer, Sarah (Ed.). New waves in philosophy of language pp. 186-205 Palgrave Macmillan. https://doi.org/10.1057/9780230248588_10