The Logic and Meaning of Plurals. Part I

Yi, Byeong-uk

doi:10.1007/s10992-005-0560-9

Cited by 111 publications

(42 citation statements)

References 19 publications

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“…I should also warn the reader that I henceforth employ (both first-order and propositional) plural logic without shame, but will explain the basics along the way. For more details on first-order plural logic, see Boolos (1986), Yi (2005Yi ( , 2006 or Oliver and Smiley (2013). 7 Following Rosen (2010), I here assume the so-called predicate approach rather than the so-called operator approach, and I assume that grounding is factive.…”

Section: Pannormismmentioning

confidence: 99%

Normativity all the way down: from normative realism to pannormism

Bøhn

2017

Synthese

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In this paper, I will give an argument for what I call pannormism, the view according to which if x instantiates a metaphysically basic normative property F, then whatever grounds the being of x also instantiates F. In slogan form: if there is normativity, there is normativity all the way down. Such pannormism is in many ways analogous to panpsychism, and my discussion also contains an important lesson for panpsychism, a way to avoid its so-called combination problem. In Sect. 1, I present the argument; in Sect. 2, I discuss its conclusion.

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Section: Pannormismmentioning

confidence: 99%

Normativity all the way down: from normative realism to pannormism

Bøhn

2017

Synthese

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“…This interpretation is formalized in (8) making use of plural logic (Yi 2005(Yi 2006 Oliver/Smiley 2013), with 'xx', 'yy', 'zz' being plural variables that are able to stand for several things at once, < being the relation is/are among, and TWO and FOUR being plural predicates that are true of two things and four things (respectively) at once:…”

Section: Semantic Evidence For the Adjectival Strategy For Number Wormentioning

confidence: 99%

Number words as number names

Moltmann¹

2017

Linguist and Philos

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Whether numbers are objects is the subject matter of a longstanding debate in philosophy.While numbers are generally treated as abstract objects in mathematics, philosophers have also appealed to natural language in order to support the view of numbers as objects. Support from natural language for such a view means that numbers would have the status of objects in the ontology implicit in natural language, the ontology of natural language.

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“…Schein (1993Schein ( , 2006, Oliver & Smiley (2001), Rayo (2002Rayo ( , 2006, Yi (2005), and McKay (2006). 13 For lack of space, we present here only two of these arguments, under the form of a dilemma.…”

Section: The Dilemma For Plurals 31 the Dilemmamentioning

confidence: 99%

“…So plurals should not be represented in predicate logic. An attractive alternative is offered by plural logic (see Rayo 2002, Oliver & Smiley 2006, Yi 2005, McKay 2006, Linnebo 2008, and Linnebo & Nicolas 2008. 19 Plural logic possesses plural constants and variables, which may be interpreted as one or several individuals of the domain of interpretation.…”

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confidence: 99%

Mass nouns and plural logic

Nicolas

2008

Linguist and Philos

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A dilemma put forward by Schein (1993) and Rayo (2002) suggests that, in order to characterize the semantics of plurals, we should not use predicate logic, but plural logic, a formal language whose terms may refer to several things at once. We show that a similar dilemma applies to mass nouns. If we use predicate logic and sets when characterizing their semantics, we arrive at a Russellian paradox. And if we use predicate logic and mereological sums, the semantics turns out to be too weak. We then develop an account where mass nouns are treated as non-singular terms. This semantics is faithful to the intuition that, if there are eight pieces of silverware on a

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The Logic and Meaning of Plurals. Part I

Cited by 111 publications

References 19 publications

Normativity all the way down: from normative realism to pannormism

Normativity all the way down: from normative realism to pannormism

Number words as number names

Mass nouns and plural logic

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