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Peirce's Challenge to Material Implication as a Model of 'If'

Brendan S. Gillon

Analysis 55 (4):280 - 282 (1995)

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A Contextualist Defence of the Material Account of Indicative Conditionals.Matheus Silva - manuscriptdetails The material account of indicative conditionals faces a legion of counterexamples that are the bread and butter in any entry about the subject. For this reason, the material account is widely unpopular among conditional experts. I will argue that this consensus was not built on solid foundations, since these counterexamples are contextual fallacies. They ignore a basic tenet of semantics according to which when evaluating arguments for validity we need to maintain the context constant, otherwise any argumentative form can be (...) Download Export citation Bookmark
When is a Schema Not a Schema? On a Remark by Suszko.Lloyd Humberstone & Allen Hazen - 2020 - Studia Logica 108 (2):199-220.details A 1971 paper by Roman Suszko, ‘Identity Connective and Modality’, claimed that a certain identity-free schema expressed the condition that there are at most two objects in the domain. Section 1 here gives that schema and enough of the background to this claim to explain Suszko’s own interest in it and related conditions—via non-Fregean logic, in which the objects in question are situations and the aim is to refrain from imposing this condition. Section 3 shows that the claim is false, (...) Download Export citation Bookmark
(1 other version)Quantifiers and 'If'‐Clauses.Kai Fintel - 1998 - Philosophical Quarterly 48 (191):209-214.details Stephen Barker (The Philosophical Quarterly, 47 (1997), pp. 195–211) has presented a new argument for a pure material implication analysis of indicative conditionals. His argument relies crucially on the assumption that general indicatives such as ‘Every girl, if she gets a chance, bungee‐jumps’ are correctly analysed as having the formal structure (for all x)(if x gets a chance, x bungee‐jumps). This paper argues that an approach first proposed by David Lewis must be pursued: the ‘if’‐clause in these sentences restricts the (...) Download Export citation Bookmark 4 citations
Quantifiers and 'if'-clauses.Kai von Finkel - 1998 - Philosophical Quarterly 48 (191):209-214.details which he calls general indicatives, are correctly analysed as open indicative conditionals preﬁxed by universal quantiﬁers. So they are both analysed as (∀x)(if x gets a chance, x bungee-jumps), where x ranges over girls. This analysis is attributed to Geach.2 Barker then shows that this syntactic analysis, together with other premises, entails that the open conditional occurring under the universal quantiﬁer has to be analysed as having the import of material implication. Download Export citation Bookmark 13 citations

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