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Logic and Logical Philosophy

Further Reflections on Sentences Saying of Themselves Strange Things
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  3. Vol. 26 No. 4 (2017): December /
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Further Reflections on Sentences Saying of Themselves Strange Things

Authors

  • Elia Zardini University of Lisbon

DOI:

https://doi.org/10.12775/LLP.2017.004

Keywords

diagonalisation, factivity, incompleteness, necessitation, reductio ad absurdum, semantic paradoxes, truthmaking

Abstract

Milne [2005] argued that a sentence saying of itself that it does not have a truthmaker is true but does not have a truthmaker. López de Sa and Zardini [2006] worried that, by parity of reasoning, one should conclude that a sentence saying of itself that it is not both true and short is true but not short. Recently, Milne [2013] and Gołosz [2015] have replied to López de Sa and Zardini’s worry, arguing in different ways that the worry is illfounded. In this paper, I’ll address these replies and argue that they fail to dispel López de Sa and Zardini’s worry, bringing out in the process some broader points concerning the use of self-referential sentences in arguments in philosophy of logic.

Author Biography

Elia Zardini, University of Lisbon

LanCog, Language, Mind and Cognition Research Group

Philosophy Centre

FCT Investigator

References

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Gołosz, J., “In defence of an argument against truthmaker maximalism”, Logic and Logical Philosophy, 24 (2015): 105–109. DOI: 10.12775/LLP.2014.018

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López de Sa, D., and E. Zardini, “Does this sentence have no truthmaker?”, Analysis, 66, 2 (2006): 154–157. DOI: 10.1093/analys/66.2.154

López de Sa, D., and E. Zardini, “Truthmakers, knowledge and paradox”, Analysis, 67, 3 (2007): 242–250. DOI: 10.1093/analys/67.3.242

López de Sa, D., and E. Zardini, “No-no. Paradox and consistency”, Analysis, 71, 3 (2011): 472–478. DOI: 10.1093/analys/anr044

MacBride, F., “Truthmakers”, in E. Zalta (ed.), Stanford Encyclopaedia of Philosophy, 2013. http://plato.stanford.edu/entries/truthmakers/

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Milne, P., “Not every truth has a truthmaker”, Analysis, 65, 3 (2005): 221–223. DOI: 10.1093/analys/65.3.221

Milne, P., “Omniscient beings are dialetheists”, Analysis, 67, 3 (2007): 250–251. DOI: 10.1093/analys/67.3.250

Milne, P., “Not every truth has a truthmaker II”, Analysis, 73, 3 (2013): 473–481. DOI: 10.1093/analys/ant037

Rodríguez-Pereyra, G., “Truthmaker maximalism defended”, Analysis, 66, 3 (2006): 260–264. DOI: 10.1093/analys/66.3.260

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Zardini, E., “Truth and what is said”, Philosophical Perspectives, 22 (2008): 545–574. DOI: 10.1111/j.1520-8583.2008.00157.x

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Zardini, E., “∀ and ω”, pages 489–526 in A. Torza (ed.), Quantifiers, Quantifiers, and Quantifiers: Themes in Logic, Metaphysics, and Language, Springer, Dordrecht, 2015b. DOI: 10.1007/978-3-319-18362-6

Zardini, E., “First-order tolerant logics”, The Review of Symbolic Logic, 2016a. Forthcoming.

Zardini, E., “Unstable knowledge”, ms, 2016b.

Logic and Logical Philosophy

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Published

2017-03-16

How to Cite

1.
ZARDINI, Elia. Further Reflections on Sentences Saying of Themselves Strange Things. Logic and Logical Philosophy [online]. 16 March 2017, T. 26, nr 4, s. 563–581. [accessed 23.3.2023]. DOI 10.12775/LLP.2017.004.
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Vol. 26 No. 4 (2017): December

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