Semantics and the ontology of number:
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Bibliographische Detailangaben
Beteilige Person: Snyder, Eric ca. 20./21. Jh (VerfasserIn)
Format: Buch
Sprache:Englisch
Veröffentlicht: Cambridge ; New York ; Port Melbourne ; New Delhi ; Singapore Cambridge University Press 2021
Schriftenreihe:Cambridge elements. Elements in the philosophy of mathematics
Schlagwörter:
Links:http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=032797488&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA
Abstract: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 are related leads to a strengthened argument for realism, one which renders familiar forms of nominalism highly implausible
Umfang:86 Seiten Illustrationen 23 cm
ISBN:9781108456258