Now showing items 11-16 of 16
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 ...
(2014-12) - Journal article
Mereotopology is a theory of connected parts. The existence of boundaries, as parts of everyday objects, is basic to any such theory; but in classical mereotopology, there is a problem: if boundaries exist, then either ...
Some results on the limits of thought
(2018-01-31) - Journal article
Generalizing on some arguments due to Arthur Prior and Dmitry Mirimanoff, we provide some further limitative results on what can be thought.
(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 ...
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 ...