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Connectives, Prenectives and Dishonoured Cheques of Metaphysical Explanation

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Abstract

Throughout his work, Kevin Mulligan has shown an ongoing concern with the theory of metaphysical explanation. What do we aim for, when we, e.g. try to elucidate the natures of essence, value, perception, truthmaking, norms, emotions, relations, and colours? Mulligan has done more than anyone to elucidate what he calls the ‘metaphysical “because”’, in terms of which we formulate metaphysical explanations. Things mentioned on the right-hand side of such explanations, a natural thought goes, are more fundamental than those that are mentioned on the left-hand side. They stand to the latter in a relation of grounding, and the holding of this relation makes the ‘because’ sentence true. In recent work on Künne’s ‘modest account of truth’, however, Mulligan has flirted with the idea that ‘because’-sentences themselves are fundamental, i.e. not further analysable and not underwritten by real relations, in virtue of the obtaining of which they are true. In my contribution to this Festschrift, I argue that we (and he) should resist this temptation: While it is true that operator locutions are often convenient, they do not reveal the fundamental metaphysics. There is no explanation to be had without accepting something doing the explaining.

Mein Grundgedanke ist, dass die ‘logischen Konstanten’ nicht vertreten. Dass sich die Logik der Tatsachen nicht vertreten lässt. (Wittgenstein, Annalen der Natur-und Kunstphilosophie, 14:184–261, 1921, § 4.0312)

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Notes

  1. 1.

    One misunderstanding is that quantification over ways, not over propositions, is intended (Hofweber (2005, p. 137), David (2006, p. 189), Boghossian (2010, p. 555)). Immediately following Mod 3 , however, Künne (2003, p. 336) makes it clear that ‘things are that way’ functions as a quantificational prosentence in Mod 3 .

  2. 2.

    They can indeed be provided using the homophonic semantics of Williamson (1999, pp. 261–263) for these sentential quantifiers that Künne (2010b, p. 587) invokes.

  3. 3.

    Künne explicitly acknowledges this: ‘Permissible substituends for “p” do not designate values of this variable. […] Permissible substituends for “p” express values of this variable’ (2008, p. 389; cf. also 2003, p. 360). He thinks that our grasp of the nominal mode of ‘introducing’ propositions is based on our grasp of the sentential mode of ‘introducing’ them (2003, p. 367). I am putting scare quotes because a nominalist could plausibly deny that ‘p’ ‘introduces’ any proposition at all.

  4. 4.

    Kneale (1972), in a paper where he proposes the ‘modest’ account (cf. n. 14 below), says that ‘…the lesson to be learnt from the Liar paradox is nothing specially concerned with truth or falsity, but rather that ability to express a proposition can never depend on an ability to designate it’ (1972, p. 243). Harman (1970, p. 99) makes a related point against the ‘modest’ account of Williams (1969).

  5. 5.

    This is how Künne (2003, p. 327) characterises the following remark by Davidson (1996, p. 274), which he takes to be directed equally against his modest account: ‘[T]he same sentence appears twice in instances of Horwich’s schema [“The proposition that p is true iff p”], once after ‘the proposition that’, in a context that requires the result to be a singular term, the subject of a predicate, and once as an ordinary sentence. We cannot eliminate this iteration of the same sentence without destroying all appearance of a theory. But we cannot understand the result of the iteration unless we can see how to make use of the same semantic features of the repeated sentence in both of its appearances—make use of them in giving the semantics of the schema instances. I do not see how this can be done.’

  6. 6.

    I think that the same problem threatens ‘hybrid’ quantification over properties, both into predicate and into singular term position, such as in ‘Ben is impatient, and that is a bad quality in a teacher’ (Künne 2003, p. 366), but I cannot make good on this claim there.

  7. 7.

    Mulligan uses a curious strategy to do so, contemplating the possibility that one introduce an explicitly unbreakable truth operator ‘true + ’, in analogy with ‘probably’, into English, German or French (2010, p. 576). It is not straightforward to determine, however, what light the possibility of such an operator would cast on the actual ‘it is true that …’. Künne calls the suggestion ‘déroutante’ (2011, p. 212).

  8. 8.

    While he agrees that one can, as Frege did with his negation stroke, introduce an unbreakable truth-operator into any language, he thinks that this will not correspond to ‘it is true that…’ (2010a, p. 559; 2011, p. 206).

  9. 9.

    Bach (1997, pp. 222–223) cites Burge (1980, p. 55), Fodor (1978, p. 178) (cited after reprint in Fodor (1981)), Schiffer (1992, p. 491, 505), Soames (1987, pp. 105–106) and Stalnaker (1988, pp. 140–141) as representatives of the orthodox view. I sketch another unorthodox view in my ‘Expressivism about Belief’.

  10. 10.

    Cf. McKinsey (1999, p. 527) for a recent version of this view.

  11. 11.

    Compare Bach (1997, p. 224) for an argument against what he calls the ‘specification assumption’—‘that belief reports specify belief contents, i.e., to be true a belief report must specify a proposition the person believes’ (1997, p. 222)—based on the Paderewski puzzle: ‘According to the descriptivist view, the condition on the truth of a belief report is that the believer believe a certain thing which requires the truth of the proposition expressed by the ‘that’-clause in the belief report. […] Just as “Adam bit a certain apple” does not specify which apple Adam bit, although it entails that there is a certain one that he bit, so “Peter believes that Paderewski had musical talent” does not specify which sort of that-Paderewski-had-musical-talent belief he has, although it requires that there be certain one that he has.’ (1997, p. 226)

  12. 12.

    We will not be able to infer that there is something a and b both believe, for example just on the basis of the truth of ‘a believes that snow is white’ and ‘b croit que la neige est blanche’.

  13. 13.

    This is also why Fine (2012) opts for a notion of ground as an essential operator.

  14. 14.

    In fact, Künne (1983, p. 126) already proposed the modest account and said that it ‘went back’ to Kneale (1972, p. 239) and Mackie (1973, p. 52) (cf. also Mackie (1970, p. 330)). He could also have mentioned Williams (1969, p. 116), to whom Mackie (1973, p. 60) refers. Williams (1971) subsequently defended the ‘modest’ account against the criticism by Sayward (1970) that it presupposes, rather than explains, propositions, before finally giving it up in favour of nihilism in his (1976), which Künne discusses.

  15. 15.

    Both Prior and Lejewski say things pointing in that direction, claiming that the meaning of propositional quantification is to be given in terms of ‘specifications’—‘a “specification” being a sentence in which the prefix “for some p” is dropped, and the remaining variable p replaced by an expression of the sort for which it stands, i.e. a sentence’ (Prior 1971, p. 36)—or their infinite expansions into conjunctions and disjunctions (Lejewski 1970, p. 175). Quine, in the discussion following Lejewski (1970), interprets him this way.

  16. 16.

    Soames (2008, p. 317) even goes so far to call an instance of (l2r) ‘patently ridiculous’.

  17. 17.

    In the second edition, Horwich (1998, p. 105) simply says that ‘[s]ince [that truths are made true by elements of reality] follows from the minimal theory (given certain further facts), it need not be an explicitly stated part of it’.

  18. 18.

    Both Horwich and Wright put scare quotes.

  19. 19.

    In a rather cryptic comment immediately following the quote, Wright goes on to say that even though this comment is ‘fair’, there is not really a problem at all. Künne (2003, p. 157) also finds Wright’s comments ‘not very illuminating’.

  20. 20.

    This is only part of the explanation. For reasons I sketch at some length in my ‘Truthmaking is explanation by things’, I think that ‘truthmaking without truthmakers’ is not truthmaking at all.

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Acknowledgements

Work on this paper was generously supported by the Swiss National Science Foundation (grant number 126656) and the Coordinación de Humanidades, Universidad Nacional Autónoma de Mexico.

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Blum, P. (2014). Connectives, Prenectives and Dishonoured Cheques of Metaphysical Explanation. In: Reboul, A. (eds) Mind, Values, and Metaphysics. Springer, Cham. https://doi.org/10.1007/978-3-319-04199-5_17

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