Autori: Abrusci, Vito Michele; Pasquali, Fabio; Retoré, Christian

Editore: Editions Kimé

Tipologia Prodotto: Articolo in rivista

DOI: 10.4000/philosophiascientiae.1163

Titolo della Rivista: PHILOSOPHIA SCIENTIAE

Numero; Volume: 1; 20-21

Numero prima e ultima pagina: 185 – 205

Codice ISBN: 978-2-84174-750-4; Codice ISSN: 1281-2463 (Printed Version), 1775-4283 (Electronic Version)

Anno di Pubblicazione: 2016

Link: journals.openedition.org/philosophiascientiae/pdf/1163

Abstract:

This paper gives an overview of the common approach to quantification and generalised quantification in formal linguistics and philosophy of language. We point out how this usual general framework represents a departure from empirical linguistic data. We briefly sketch a different idea for proof theory which is closer to the language itself than standard approaches in many aspects. We stress the importance of Hilbert’s operators-the epsilonoperator for existential and tau-operator for universal quantifications. Indeed, these operators are helpful in the construction of a semantic representation which is close to natural language in particular with quantified noun phrases as individual terms. We also define guidelines for the design of proof rules corresponding to generalized quantifiers.

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