Three indexes have been compiled: authors of main articles (including our special departments such as ‘Projects in progress’ and ‘Notes and discussions’); essay reviews; and book reviews. Co-author...

Intuitionist mathematics has claimed a philosophy deriving from Kant. This paper aims to draw attention to significant similarities with a much older source, Aristotle. At the same time, the connection should not be over-stretched, given two millennia between them.

Identification of distinct items is a basic technique in mathematics. However, identification suffers from a certain weakness of resolve in that it is (classically) accompanied by dropping the original disidentification, which causes a loss of information about the theory which sources the identity. This article proposes an alternative, namely keeping the disidentification along with the identification. This produces an inconsistent theory which is generally an extension of the source theory. The concept of a Dunn–Meyer extension is defined to study these (...) properties. It is seen that this technique is sensitive to the choice of background logic, particularly RM3 as opposed to closed-set logic. By employing the Routley functor, a best-choice logic is found for this construction. (shrink)

We apply linear algebra to the study of the inconsistent figure known as the Crazy Crate. Disambiguation by means of occlusions leads to a class of sixteen such figures: consistent, complete, both and neither. Necessary and sufficien conditions for inconsistency are obtained.

Parmenides has been widely regarded as someone whose main assertions are outrageously false, since he seems to have denied change, motion and diversity. In this note I will show that, while there is some justice in the received view, nonetheless there are important insights to be gained from taking his position seriously. Along the way, I will register agreement or disagreement, where appropriate, with the papers by ScottMann and Peter Woolcock in this volume. My final position is more in agreement (...) with Mann than Woolcock, though I have disagreements with both. (shrink)

Chris Mortensen, Graham Nerlich, Garrett Cullity and Gerard O'Brien.

We consider the question of whether paradoxes are essentially verbal. It is argued that paradoxes have an essentially verbal component, but that there is a special class of paradoxes, such as the “impossible triangle”, which are not wholly verbal, but partly perceptual as well. Along the way, attention is paid to explicating the idea of non-verbal content.