Defusing easy arguments for numbers

Linguistics and Philosophy 36 (6):447-461 (2013)
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Abstract

Pairs of sentences like the following pose a problem for ontology: (1) Jupiter has four moons. (2) The number of moons of Jupiter is four. (2) is intuitively a trivial paraphrase of (1). And yet while (1) seems ontologically innocent, (2) appears to imply the existence of numbers. Thomas Hofweber proposes that we can resolve the puzzle by recognizing that sentence (2) is syntactically derived from, and has the same meaning as, sentence (1). Despite appearances, the expressions ‘the number of moons of Jupiter’ and ‘four’ do not function semantically as singular terms in (2). Hofweber’s primary evidence for this proposal concerns differences in the focus-related communicative functions of (1) and (2). In this paper I raise several serious problems for Hofweber’s proposal, and for his attempt to support it by appeal to focus-related phenomena. I conclude by offering independent evidence for an alternative, purely pragmatic resolution of the ontological puzzle

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Brendan Balcerak Jackson
Bielefeld University

Citations of this work

Resolving Frege’s Other Puzzle.Eric Snyder, Richard Samuels & Stewart Shapiro - 2022 - Philosophica Mathematica 30 (1):59-87.
Reply to Critics.Agustín Rayo - 2014 - Inquiry: An Interdisciplinary Journal of Philosophy 57 (4):498-534.

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References found in this work

Generalized quantifiers and natural language.John Barwise & Robin Cooper - 1981 - Linguistics and Philosophy 4 (2):159--219.
The things we mean.Stephen R. Schiffer - 2003 - New York: Oxford University Press.
On what there is.W. V. Quine - 1953 - In Willard Van Orman Quine (ed.), From a Logical Point of View. Cambridge: Harvard University Press. pp. 1-19.
On bullshit.Harry G. Frankfurt - 1986 - Princeton, NJ: Princeton University Press.

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