Now showing items 1-10 of 27
Descartes's critique of the syllogistic
(2017-10) - Journal article,
This article presents a novel reading of Descartes’s critique of the traditional syllogistic. The reading differs from those previously presented by scholars who regard Descartes’s critique as a version of a well-known ...
Solvitur Ambulando. Meaning-constitutive Principles and the Inscrutability of Inference
(King's College Publications, 2012) - Book item,
(Oxford University Press, 2015-07-30) - Book item,
Ineffability within the limits of abstraction alone
(Oxford University Press, 2016-12-08) - Book item,
The purpose of this article is to assess the prospects for a Scottish neo-logicist foundation for a set theory. We show how to reformulate a key aspect of our set theory as a neo-logicist abstraction principle. That puts ...
Semantic pollution and syntactic purity
(2015-12) - Journal article,
Logical inferentialism claims that the meaning of the logical constants should be given, not model-theoretically, but by the rules of inference of a suitable calculus. It has been claimed that certain proof-theoretical ...
Recombination and paradox
(2015-08) - Journal article,
A neglected resolution of Russell's paradox of propositions
(2015-06) - Journal article,
Bertrand Russell offered an influential paradox of propositions in Appendix B of "The Principles of Mathematics", but there is little agreement as to what to conclude from it. We suggest that Russell’s paradox is best ...
(2017-04) - Journal article,
General-elimination harmony articulates Gentzen's idea that the elimination-rules are justified if they infer from an assertion no more than can already be inferred from the grounds for making it. Dummett described the ...
True, false, paranormal, and 'designated'? : a reply to Jenkins
(2008-07) - Journal article,
Miller, Bradwardine and the Truth
(2011-06) - Journal article,
In his article "Verdades antiguas y modernas" (in the same issue, pp. 207-27), David Miller criticised Thomas Bradwardine’s theory of truth and signification and my defence of Bradwardine’s application of it to the semantic ...