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Eric Snyder [23]Eric Andrew Snyder [1]
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Eric Snyder
Ludwig Maximilians Universität, München
  1.  64
    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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  2.  29
    Hofweber’s Nominalist Naturalism.Eric Snyder, Richard Samuels & Stewart Shapiro - 2022 - In Gianluigi Oliveri, Claudio Ternullo & Stefano Boscolo (eds.), Objects, Structures, and Logics. Cham, Switzerland: pp. 31-62.
    In this paper, we outline and critically evaluate Thomas Hofweber’s solution to a semantic puzzle he calls Frege’s Other Puzzle. After sketching the Puzzle and two traditional responses to it—the Substantival Strategy and the Adjectival Strategy—we outline Hofweber’s proposed version of Adjectivalism. We argue that two key components—the syntactic and semantic components—of Hofweber’s analysis both suffer from serious empirical difficulties. Ultimately, this suggests that an altogether different solution to Frege’s Other Puzzle is required.
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  3.  46
    Binding, Genericity, and Predicates of Personal Taste.Eric Snyder - 2013 - Inquiry: An Interdisciplinary Journal of Philosophy 56 (2-3):278-306.
    I argue for two major claims in this paper. First, I argue that the linguistic evidence best supports a certain form of contextualism about predicates of personal taste (PPTs) like ?fun? and ?tasty?. In particular, I argue that these adjectives are both individual-level predicates (ILPs) and anaphoric implicit argument taking predicates (IATPs). As ILPs, these naturally form generics. As anaphoric IATPs, PPTs show the same dependencies on context and distributional behavior as more familiar anaphoric IATPs, for example, ?local? and ?apply?. (...)
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  4.  40
    Numbers and Cardinalities: What’s Really Wrong with the Easy Argument for Numbers?Eric Snyder - 2017 - Linguistics and Philosophy 40 (4):373-400.
    This paper investigates a certain puzzling argument concerning number expressions and their meanings, the Easy Argument for Numbers. After finding faults with previous views, I offer a new take on what’s ultimately wrong with the Argument: it equivocates. I develop a semantics for number expressions which relates various of their uses, including those relevant to the Easy Argument, via type-shifting. By marrying Romero ’s :687–737, 2005) analysis of specificational clauses with Scontras ’ semantics for Degree Nouns, I show how to (...)
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  5.  10
    Semantics and the Ontology of Number.Eric Snyder - 2021 - Cambridge University Press.
    What are the meanings of number expressions, and what can they tell us about questions of central importance to the philosophy of mathematics, specifically 'Do numbers exist?' This Element attempts to shed light on this question by outlining a recent debate between substantivalists and adjectivalists regarding the semantic function of number words in numerical statements. After highlighting their motivations and challenges, I develop a comprehensive polymorphic semantics for number expressions. I argue that accounting for the numerous meanings and how they (...)
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  6.  68
    How To Count 2.5 Oranges.Eric Snyder & Jefferson Barlew - 2019 - Australasian Journal of Philosophy 97 (4):792-808.
    abstractWe address a puzzle about the meanings of fraction words, due to Nathan Salmon. Counting 212 oranges seemingly requires enumerating a collection of objects with a non-whole cardinal number,...
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  7.  63
    Neologicism, Frege's Constraint, and the Frege‐Heck Condition.Eric Snyder, Richard Samuels & Stewart Shapiro - 2020 - Noûs 54 (1):54-77.
    One of the more distinctive features of Bob Hale and Crispin Wright’s neologicism about arithmetic is their invocation of Frege’s Constraint – roughly, the requirement that the core empirical applications for a class of numbers be “built directly into” their formal characterization. In particular, they maintain that, if adopted, Frege’s Constraint adjudicates in favor of their preferred foundation – Hume’s Principle – and against alternatives, such as the Dedekind-Peano axioms. In what follows we establish two main claims. First, we show (...)
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  8.  11
    Mereological Singularism and Paradox.Eric Snyder & Stewart Shapiro - forthcoming - Erkenntnis:1-20.
    The primary argument against mereological singularism—the view that definite plural noun phrases like ‘the students’ refer to “set-like entities”—is that it is ultimately incoherent. The most forceful form of this charge is due to Barry Schein, who argues that singularists must accept a certain comprehension principle which entails the existence of things having the contradictory property of being both atomic and non-atomic. The purpose of this paper is to defuse Schein’s argument, by noting three necessary and independently motivated restrictions on (...)
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  9.  16
    How To Count 2 1/2 Oranges.Eric Snyder & Jefferson Barlew - 2019 - Australasian Journal of Philosophy 97 (4):792-808.
    abstractWe address a puzzle about the meanings of fraction words, due to Nathan Salmon. Counting 212 oranges seemingly requires enumerating a collection of objects with a non-whole cardinal number,...
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  10.  17
    Counting, measuring, and the fractional cardinalities puzzle.Eric Snyder - 2021 - 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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  11.  41
    Cardinals, Ordinals, and the Prospects for a Fregean Foundation.Eric Snyder, Stewart Shapiro & Richard Samuels - 2018 - Royal Institute of Philosophy Supplement 82:77-107.
    There are multiple formal characterizations of the natural numbers available. Despite being inter-derivable, they plausibly codify different possible applications of the naturals – doing basic arithmetic, counting, and ordering – as well as different philosophical conceptions of those numbers: structuralist, cardinal, and ordinal. Some influential philosophers of mathematics have argued for a non-egalitarian attitude according to which one of those characterizations is ‘more basic’ or ‘more fundamental’ than the others. This paper addresses two related issues. First, we review some of (...)
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  12.  21
    Group Nouns and Pseudo‐Singularity.Eric Snyder & Stewart Shapiro - 2021 - Thought: A Journal of Philosophy 10 (1):66-77.
    Thought: A Journal of Philosophy, EarlyView.
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  13.  52
    Computability, Notation, and de Re Knowledge of Numbers.Stewart Shapiro, Eric Snyder & Richard Samuels - 2022 - Philosophies 1 (7).
    Saul Kripke once noted that there is a tight connection between computation and de re knowledge of whatever the computation acts upon. For example, the Euclidean algorithm can produce knowledge of which number is the greatest common divisor of two numbers. Arguably, algorithms operate directly on syntactic items, such as strings, and on numbers and the like only via how the numbers are represented. So we broach matters of notation. The purpose of this article is to explore the relationship between (...)
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  14.  15
    Groups, sets, and paradox.Eric Snyder & Stewart Shapiro - forthcoming - Linguistics and Philosophy:1-37.
    Perhaps the most pressing challenge for singularism—the predominant view that definite plurals like ‘the students’ singularly refer to a collective entity, such as a mereological sum or set—is that it threatens paradox. Indeed, this serves as a primary motivation for pluralism—the opposing view that definite plurals refer to multiple individuals simultaneously through the primitive relation of plural reference. Groups represent one domain in which this threat is immediate. After all, groups resemble sets in having a kind of membership-relation and iterating: (...)
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  15.  12
    Computability, Notation, and de Re Knowledge of Numbers.Stewart Shapiro, Eric Snyder & Richard Samuels - 2022 - Philosophies 7 (20):20.
    Saul Kripke once noted that there is a tight connection between computation and de re knowledge of whatever the computation acts upon. For example, the Euclidean algorithm can produce knowledge of _which number_ is the greatest common divisor of two numbers. Arguably, algorithms operate directly on syntactic items, such as strings, and on numbers and the like only via how the numbers are represented. So we broach matters of _notation_. The purpose of this article is to explore the relationship between (...)
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  16.  6
    Unwarranted Philosophical Assumptions in Research on ANS.John Opfer, Richard Samuels, Stewart Shapiro & Eric Snyder - 2021 - Behavioral and Brain Sciences 44.
    Clarke and Beck import certain assumptions about the nature of numbers. Although these are widespread within research on number cognition, they are highly contentious among philosophers of mathematics. In this commentary, we isolate and critically evaluate one core assumption: the identity thesis.
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  17.  23
    Leon Horsten*The Metaphysics and Mathematics of Arbitrary Objects. [REVIEW]Eric Snyder - 2020 - Philosophia Mathematica 28 (1):79-95.
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  18.  55
    Vagueness and Context.Stewart Shapiro & Eric Snyder - 2016 - Inquiry: An Interdisciplinary Journal of Philosophy 59 (4):343-381.
    A number of recent accounts for vague terms postulate a kind of context-sensitivity, one that kicks in after the usual ‘external’ contextual factors like comparison class are established and held fixed. In a recent paper, ‘Vagueness without Context Change’: 275–92), Rosanna Keefe criticizes all such accounts. The arguments are variations on considerations that have been brought against context-sensitive accounts of knowledge, predicates of personal taste, epistemic modals, and the like. The issues are well known and there are variety of options (...)
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  19.  23
    Hale’s Argument From Transitive Counting.Eric Snyder, Richard Samuels & Stewart Shaprio - 2019 - Synthese 198 (3):1905-1933.
    A core commitment of Bob Hale and Crispin Wright’s neologicism is their invocation of Frege’s Constraint—roughly, the requirement that the core empirical applications for a class of numbers be “built directly into” their formal characterization. According to these neologicists, if legitimate, Frege’s Constraint adjudicates in favor of their preferred foundation—Hume’s Principle—and against alternatives, such as the Dedekind–Peano axioms. In this paper, we consider a recent argument for legitimating Frege’s Constraint due to Hale, according to which the primary empirical application of (...)
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  20.  14
    Leon HorstenThe Metaphysics and Mathematics of Ordinary Objects. [REVIEW]Eric Snyder - forthcoming - Philosophia Mathematica:nkaa006.
    HorstenLeon* * _ The Metaphysics and Mathematics of Ordinary Objects. _Cambridge University Press, 2019. Pp. xviii + 231. ISBN: 978-1-107-03941-4 ; 978-1-10860177-1. doi: 10.1017/9781139600293.
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  21. Link's Revenge: A Case Study in Natural Language Mereology.Eric Snyder & Stewart Shapiro - 2019 - In Gabriele M. Mras, Paul Weingartner & Bernhard Ritter (eds.), Philosophy of Logic and Mathematics. Berlin, Boston: De Gruyter. pp. 3-36.
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  22.  20
    M. Carrara, A. Arapinis, and F. Moltmann, Editors. Unity and Plurality: Logic, Philosophy, and Linguistics. Oxford University Press, 2016. [REVIEW]Eric Snyder - 2016 - Bulletin of Symbolic Logic 22 (4):530-532.
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  23.  6
    Link’s Revenge: A Case Study in Natural Language Mereology.Eric Snyder & Stewart Shapiro - 2019 - In Gabriele M. Mras, Paul Weingartner & Bernhard Ritter (eds.), Philosophy of Logic and Mathematics: Proceedings of the 41st International Ludwig Wittgenstein Symposium. De Gruyter. pp. 3-36.
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