Grammar and Sets

Hartley Slater

Research output: Contribution to journalArticle

6 Citations (Scopus)

Abstract

Philosophy arises through misconceptions of grammar', said Wittgenstein. Few people have believed him, and probably none, therefore, working in the area of the philosophy of mathematics. Yet his assertion is most evidently the case in the philosophy of Set Theory, as this paper demonstrates (see also Rodych 2000). The motivation for twentieth century Set Theory has rested on the belief that everything in Mathematics can be defined in terms of sets [Maddy 1994: 4]. But not only are there notable items which cannot be so defined, including numbers and mereological sums, the very notion of a set, as formalized within this tradition, is based on a series of grammatical confusions.
Original languageEnglish
Pages (from-to)59-73
JournalAustralasian Journal of Philosophy
Volume84
Issue number1
DOIs
Publication statusPublished - 2006

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