Now showing items 1-10 of 25
Knowability relative to information
(2018-10-25) - Journal article,
We present a formal semantics for epistemic logic, capturing the notion of knowability relative to information (KRI). Like Dretske, we move from the platitude that what an agent can know depends on her (empirical) information. ...
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 ...
Aristotle and Lukasiewicz on existential import
(2015) - Journal article,
Jan Lukasiewicz's treatise on Aristotle's Syllogistic, published in the 1950s, has been very influential in framing contemporary understanding of Aristotle's logical systems. However, Lukasiewicz's interpretation is based ...
Universalism and junk
(2014) - Journal article,
Those who accept the necessity of mereological universalism face what has come to be known as the junk argument due to Bohn , which proceeds from (i) the incompatibility of junk with universalism and (ii) the possibility ...
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 ...