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Hofweber’s Nominalist Naturalism

In Gianluigi Oliveri, Claudio Ternullo & Stefano Boscolo (eds.), Objects, Structures, and Logics. Cham (Switzerland): Springer. pp. 31-62 (2022)

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  1. Semantics in generative grammar.Irene Heim & Angelika Kratzer - 1998 - Malden, MA: Blackwell. Edited by Angelika Kratzer.
    Written by two of the leading figures in the field, this is a lucid and systematic introduction to semantics as applied to transformational grammars of the ...
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  • (1 other version)Grundlagen der Arithmetik: Studienausgabe mit dem Text der Centenarausgabe.Gottlob Frege - 1884 - Breslau: Wilhelm Koebner Verlag.
    Die Grundlagen gehören zu den klassischen Texten der Sprachphilosophie, Logik und Mathematik. Frege stützt sein Programm einer Begründung von Arithmetik und Analysis auf reine Logik, indem er die natürlichen Zahlen als bestimmte Begriffsumfänge definiert. Die philosophische Fundierung des Fregeschen Ansatzes bilden erkenntnistheoretische und sprachphilosophische Analysen und Begriffserklärungen. Studienausgabe aufgrund der textkritisch herausgegebenen Jubiläumsausgabe (Centenarausgabe). Mit Einleitung, Anmerkungen, Literaturverzeichnis und Namenregister.
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  • What numbers could not be.Paul Benacerraf - 1965 - Philosophical Review 74 (1):47-73.
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  • (1 other version)Generalized quantifiers and natural language.John Barwise & Robin Cooper - 1981 - Linguistics and Philosophy 4 (2):159--219.
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  • Mathematics and Reality.Mary Leng - 2010 - Oxford: Oxford University Press.
    This book offers a defence of mathematical fictionalism, according to which we have no reason to believe that there are any mathematical objects. Perhaps the most pressing challenge to mathematical fictionalism is the indispensability argument for the truth of our mathematical theories (and therefore for the existence of the mathematical objects posited by those theories). According to this argument, if we have reason to believe anything, we have reason to believe that the claims of our best empirical theories are (at (...)
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  • Plural predication.Thomas McKay - 2006 - New York: Oxford University Press.
    Plural predication is a pervasive part of ordinary language. We can say that some people are fifty in number, are surrounding a building, come from many countries, and are classmates. These predicates can be true of some people without being true of any one of them; they are non-distributive predications. However, the apparatus of modern logic does not allow a place for them. Thomas McKay here explores the enrichment of logic with non-distributive plural predication and quantification. His book will be (...)
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  • The Logical Analysis of Plurals and Mass Terms: A Lattice-Theoretic Approach.Godehard Link - 2002 - In Paul H. Portner & Barbara H. Partee (eds.), Formal Semantics - the Essential Readings. Blackwell. pp. 127--147.
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  • (1 other version)Nominalist platonism.George Boolos - 1985 - Philosophical Review 94 (3):327-344.
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  • (1 other version)Frege: Philosophy of Mathematics.Michael DUMMETT - 1991 - Philosophy 68 (265):405-411.
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  • Reference to numbers in natural language.Friederike Moltmann - 2013 - Philosophical Studies 162 (3):499 - 536.
    A common view is that natural language treats numbers as abstract objects, with expressions like the number of planets, eight, as well as the number eight acting as referential terms referring to numbers. In this paper I will argue that this view about reference to numbers in natural language is fundamentally mistaken. A more thorough look at natural language reveals a very different view of the ontological status of natural numbers. On this view, numbers are not primarily treated abstract objects, (...)
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  • Logicism and the ontological commitments of arithmetic.Harold T. Hodes - 1984 - Journal of Philosophy 81 (3):123-149.
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  • Ontology and the Ambitions of Metaphysics.Thomas Hofweber - 2018 - Analysis 78 (2):289-291.
    Ontology and the Ambitions of Metaphysics By HofweberThomasOxford University Press, 2016. xvi + 366 pp. £50.00.
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  • (1 other version)Reference to Kinds across Language.Gennaro Chierchia - 1998 - Natural Language Semantics 6 (4):339-405.
    This paper is devoted to the study of bare nominal arguments (i.e., determinerless NPs occurring in canonical argumental positions) from a crosslinguistic point of view. It is proposed that languages may vary in what they let their NPs denote. In some languages (like Chinese), NPs are argumental (names of kinds) and can thus occur freely without determiner in argument position; in others they are predicates (Romance), and this prevents NPs from occurring as arguments, unless the category D(eterminer) is projected. Finally, (...)
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  • Mathematics and reality.Mary Leng - 2010 - Bulletin of Symbolic Logic 17 (2):267-268.
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  • Abstract Objects.Bob Hale - 1987 - Revue Philosophique de la France Et de l'Etranger 179 (1):109-109.
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  • The myth of the seven.Stephen Yablo - 2005 - In Mark Eli Kalderon (ed.), Fictionalism in Metaphysics. New York: Oxford University Press UK. pp. 88--115.
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  • Color, context, and compositionality.Christopher Kennedy & Louise Mcnally - 2010 - Synthese 174 (1):79-98.
    Color adjectives have played a central role in work on language typology and variation, but there has been relatively little investigation of their meanings by researchers in formal semantics. This is surprising given the fact that color terms have been at the center of debates in the philosophy of language over foundational questions, in particular whether the idea of a compositional, truth-conditional theory of natural language semantics is even coherent. The challenge presented by color terms is articulated in detail in (...)
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  • Number determiners, numbers, and arithmetic.Thomas Hofweber - 2005 - Philosophical Review 114 (2):179-225.
    In his groundbreaking Grundlagen, Frege (1884) pointed out that number words like ‘four’ occur in ordinary language in two quite different ways and that this gives rise to a philosophical puzzle. On the one hand ‘four’ occurs as an adjective, which is to say that it occurs grammatically in sentences in a position that is commonly occupied by adjectives. Frege’s example was (1) Jupiter has four moons, where the occurrence of ‘four’ seems to be just like that of ‘green’ in (...)
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  • Resolving Frege’s Other Puzzle.Eric Snyder, Richard Samuels & Stewart Shapiro - 2022 - Philosophica Mathematica 30 (1):59-87.
    Number words seemingly function both as adjectives attributing cardinality properties to collections, as in Frege’s ‘Jupiter has four moons’, and as names referring to numbers, as in Frege’s ‘The number of Jupiter’s moons is four’. This leads to what Thomas Hofweber calls Frege’s Other Puzzle: How can number words function as modifiers and as singular terms if neither adjectives nor names can serve multiple semantic functions? Whereas most philosophers deny that one of these uses is genuine, we instead argue that (...)
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  • Innocent statements and their metaphysically loaded counterparts.Thomas Hofweber - 2007 - Philosophers' Imprint 7:1-33.
    One puzzling feature of talk about properties, propositions and natural numbers is that statements that are explicitly about them can be introduced apparently without change of truth conditions from statements that don't mention them at all. Thus it seems that the existence of numbers, properties and propositions can be established`from nothing'. This metaphysical puzzle is tied to a series of syntactic and semantic puzzles about the relationship between ordinary, metaphysically innocent statements and their metaphysically loaded counterparts, statements that explicitly mention (...)
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  • Number words and reference to numbers.Katharina Felka - 2014 - Philosophical Studies 168 (1):261-282.
    A realist view of numbers often rests on the following thesis: statements like ‘The number of moons of Jupiter is four’ are identity statements in which the copula is flanked by singular terms whose semantic function consists in referring to a number (henceforth: Identity). On the basis of Identity the realists argue that the assertive use of such statements commits us to numbers. Recently, some anti-realists have disputed this argument. According to them, Identity is false, and, thus, we may deny (...)
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  • Number Words and Ontological Commitment.Berit Brogaard - 2007 - Philosophical Quarterly 57 (226):1–20.
    With the aid of some results from current linguistic theory I examine a recent anti-Fregean line with respect to hybrid talk of numbers and ordinary things, such as ‘the number of moons of Jupiter is four’. I conclude that the anti-Fregean line with respect to these sentences is indefensible.
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  • At least some determiners aren't determiners.Manfred Krifka - 1999 - In Ken Turner (ed.), The semantics/pragmatics interface from different points of view. New York: Elsevier. pp. 1--257.
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  • Concealed questions and specificational subjects.Maribel Romero - 2005 - Linguistics and Philosophy 28 (6):687 - 737.
    This paper is concerned with Noun Phrases (NPs, henceforth) occurring in two constructions: concealed question NPs and NP subjects of specificational sentences. The first type of NP is illustrated in (1). The underlined NPs in (1) have been called ‘concealed questions’ because sentences that embed them typically have the same truth-conditional meaning as the corresponding versions with a full-fledged embedded interrogative clause, as illustrated in (2) (Heim 1979).
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  • Counting, measuring, and the fractional cardinalities puzzle.Eric Snyder - 2020 - Linguistics and Philosophy 44 (3):513-550.
    According to what I call the Traditional View, there is a fundamental semantic distinction between counting and measuring, which is reflected in two fundamentally different sorts of scales: discrete cardinality scales and dense measurement scales. Opposed to the Traditional View is a thesis known as the Universal Density of Measurement: there is no fundamental semantic distinction between counting and measuring, and all natural language scales are dense. This paper considers a new argument for the latter, based on a puzzle I (...)
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  • Crispin Wright, Frege's Conception of Numbers as Objects. [REVIEW]Boguslaw Wolniewicz - 1986 - Studia Logica 45 (3):330-330.
    The book is an attempt at explaining to the nation the ideas of Frege's Grundlagen. It is wordy and trite, a paradigm case of a redundant piece of writing. The reader is advised to steer clear of it.
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