Exclusion Problems and the Cardinality of Logical Space.
Wittgenstein's atomist picture, as embodied in his Tractatus, is initially very appealing. However, it faces the famous colour-exclusion problem. In this paper, I shall explain when the atomist picture can be defended (in principle) in the face of that problem; and, in the light of this, why the ato...
| Publicado en: | Journal of Philosophical Logic Vol. 46; no. 6; pp. 611 - 624 |
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| Formato: | Artículo |
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Springer Nature
Dec2017
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| Acceso en línea: | Ver este registro en EBSCOhost |
| fields | @attributes: recordID: 1 pdfLink: plink: https://search.ebscohost.com/login.aspx?direct=true&db=hlh&AN=126407213&site=ehost-live header: @attributes: shortDbName: hlh uiTerm: 126407213 longDbName: Humanities International Complete uiTag: AN controlInfo: bkinfo: jinfo: jid: 00223611 JPH jtl: Journal of Philosophical Logic issn: 00223611 maglogo: N pubinfo: dt: Dec2017 vid: 46 iid: 6 pid: 237 pub: Springer Nature artinfo: ui: 126407213 10.1007/s10992-016-9412-z ppf: 611 ppct: 13 formats: fmt: @attributes: type: P size: 710KB tig: atl: Exclusion Problems and the Cardinality of Logical Space. aug: au: Button, Tim affil: University of Cambridge , Cambridge UK su: Social marginality Atomism Cardinal virtues Rejection (Psychology) Reasoning sug: subj: Social marginality Atomism Cardinal virtues Rejection (Psychology) Reasoning keyword: Atomist picture Color incompatibility Colour-exclusion Logical independence Logical space Ludwig Wittgenstein Sarah Moss Tractarian metaphysics Tractatus Logico-Philosophicus ab: Wittgenstein's atomist picture, as embodied in his Tractatus, is initially very appealing. However, it faces the famous colour-exclusion problem. In this paper, I shall explain when the atomist picture can be defended (in principle) in the face of that problem; and, in the light of this, why the atomist picture should be rejected. I outline the atomist picture in Section 1. In Section 2, I present a very simple necessary and sufficient condition for the tenability (in principle) of the atomist picture. The condition is: logical space is a power of two. In Sections 3 and 4, I outline the colour-exclusion problem, and then show how the cardinality-condition supplies a response to exclusion problems. In Section 5, I explain how this amounts to a distillation of a proposal due to Moss (2012), which goes back to Carruthers (1990: 144-7). And in Section 6, I show how all this vindicates Wittgenstein's ultimate rejection of the atomist picture. The brief reason is that we have no guarantee that there are any solutions to a given exclusion problem but, if there are any, then there are far too many. pubtype: Academic Journal doctype: Article src: R language: English refInfo: copyright: @attributes: flag: Y custom: Journal of Philosophical Logic is a copyright of Springer, 2017. All Rights Reserved. item: Journal of Philosophical Logic holder: Springer Nature dt: @attributes: year: 2017 holdings: @attributes: islocal: N |
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