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Truth, Pretense and the Liar Paradox

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Unifying the Philosophy of Truth

Part of the book series: Logic, Epistemology, and the Unity of Science ((LEUS,volume 36))

Abstract

In this paper we explain our pretense account of truth-talk and apply it in a diagnosis and treatment of the Liar Paradox. We begin by assuming that some form of deflationism is the correct approach to the topic of truth. We then briefly motivate the idea that all T-deflationists should endorse a fictionalist view of truth-talk, and, after distinguishing pretense-involving fictionalism (PIF) from error-theoretic fictionalism (ETF), explain the merits of the former over the latter. After presenting the basic framework of our PIF account of truth-talk, we demonstrate a few advantages it offers over T-deflationist accounts that do not explicitly acknowledge pretense at work in the discourse. In turning to the Liar Paradox, we explain how the quasi-anaphoric functioning that our account attributes to truth-talk provides a diagnosis of the Liar Paradox (and other instances of semantic pathology) as having no content—in the sense of not specifying any of what we call M-conditions. At the same time, however, we vindicate the intuition that we can understand liar sentences, thereby avoiding one standard objection to “meaningless strategy” responses to the Liar Paradox. With this diagnosis in place, we then, by way of treatment, introduce a new predicate, ‘semantically defective’, and show how the explanation we give for its application allows for a consistent, yet revenge-immune, (dis)solution of the Liar Paradox, and semantic pathology generally.

Thanks to Graham Priest, Anil Gupta and to the other participants and organizers of both BW7 | Seventh Barcelona Workshop on Issues in the Theory of Reference: Paradoxes of Truth and Denotation (LOGOS: Logic, Language, and Cognition Research Group, Universitat de Barcelona) and Truth at Work (IHPST: Institut d’Historie et de Philosophie des Sciences et Techniques, Université Paris-1, et Ecole Normale Supérieure) for helpful (and enjoyable) comments and discussion.

Both authors contributed equally to this work and are listed in alphabetical order.

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Notes

  1. 1.

    This is in marked contrast with Woodbridge (2005), where a dialetheic approach to the Liar Paradox is endorsed within an earlier version of the sort of pretense account of truth-talk that we currently champion.

  2. 2.

    While not explicitly formulating the thesis in this way, Yablo (2005) relies on something like (EI) to argue for a particular fictionalist account of mathematical discourse.

  3. 3.

    Cf. Yablo (2001, 2005).

  4. 4.

    For more on this, see Armour-Garb and Woodbridge (2010, 2014).

  5. 5.

    As seems clear, an ETF account of truth-talk would be intolerable, as it would render false all truth attributions, thereby undermining the status of the T-schema, since not every instance of it would be true.

  6. 6.

    The source of the semantic pretense approach is Kendall Walton’s (1990, 1993) analyses of representation in the arts and of certain kinds of metaphor in terms of make-believe. Walton applies a semantic pretense approach explicitly in his analyses of talk about works of fiction and fictional entities and of existence-talk. See Evans (1982) for a different but related semantic pretense account of existence-talk.

  7. 7.

    For more on the details of make-believe and its role in semantic pretense, see Richard (2000) and Woodbridge and Armour-Garb (2009).

  8. 8.

    In order to deflect a possible misinterpretation, we should make clear that we are not saying that being true is a matter of being pretended true. There is an important difference between claiming something is true—and the pretenses always involved in such a claim—and pretending that something is true. When we claim, or assert, (e.g.) that a given sentence is true, we are not pretending that it is true. On our view—and this is in line with T-deflationism—we are indirectly expressing a commitment to what that sentence says.

  9. 9.

    For present purposes, this is taken to be equivalent to (ES*) That p is true iff p.

  10. 10.

    For more on the details behind T-deflationism, see Armour-Garb (2012).

  11. 11.

    For more on this view, see Armour-Garb and Woodbridge (2010,2015). We should note that this understanding of the relationship between deflationism and pretense contrasts with that at work in Woodbridge (2005), where the pretense view is presented as a species of deflationism, in competition with other species.

  12. 12.

    Cf. Gupta (1993).

  13. 13.

    For more on this, see Armour-Garb and Woodbridge (2015).

  14. 14.

    The same goes for wide-scope negation liar sentences, e.g., (L*) It is not the case that (L*) is not true.

  15. 15.

    This allows for a possible contrast between Strawson’s (1950) sentence,‘This is a fine red one’ and Chomsky’s (1957) sentence, ‘Colorless green ideas sleep furiously’. The latter sentence is not even understood2, if we insist that to understand2 a sentence, we need to know how that sentence could be used to make a true assertion. We should note that, although we are inclined to accept this condition, we need not insist on it, for the points in this paper to go through.

  16. 16.

    Analogous to the two modes of understanding, we might also grant two modes of meaning. As we would describe things, since liar sentences do not specify any M-conditions, we will not grant that they are meaningful1, though we will, and should, allow that they are meaningful2. For more on this, see Armour-Garb and Woodbridge (2013, 2015).

  17. 17.

    Indeed, for a consideration of some of the other objections that our solution to the Liar Paradox faces, see Armour-Garb and Woodbridge (2013, 2015).

  18. 18.

    To be sure, there is more that we might say about this notion of s-defectiveness, which we are importing into our vocabulary. But what is crucial here is that ‘s-defective’ applies directly to sentences—actually, to sentence tokens, though the view will not end up looking like a tokenist view, at least in any interesting sense—rather than applying to what a given sentence expresses or applying to a sentence in virtue of applying to what it expresses. Moreover, the expression, ‘s-defective’, applies to sentences that do not possess content, even though such sentences will (or, at least, may) be understood2.

  19. 19.

    See Armour-Garb and Woodbridge (2006).

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Armour-Garb, B., Woodbridge, J. (2015). Truth, Pretense and the Liar Paradox. In: Achourioti, T., Galinon, H., Martínez Fernández, J., Fujimoto, K. (eds) Unifying the Philosophy of Truth. Logic, Epistemology, and the Unity of Science, vol 36. Springer, Dordrecht. https://doi.org/10.1007/978-94-017-9673-6_17

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