Many philosophers have claimed that there is a tension between the impenetrability of matter and the possibility of contact between continuous bodies. This tension has led some to claim that impenetrable continuous bodies could not ever be in contact, and it has led others to posit certain structural features to continuous bodies that they believe would resolve the tension. Unfortunately, such philosophical discussions rarely borrow much from the investigation of actual matter. This is probably largely because actual matter is not (...) continuous, and so it might seem as if discussion of the structure of continuous bodies is merely within the realm of philosophical thought experiments rather than actual scientific investigation. However, classical continuum mechanics models actual matter as if it were continuous, and it has implications about the structure of continuous bodies and about what contact and impenetrability are. This paper describes the relevant notions from classical continuum mechanics so as to resolve the alleged tension between contact and impenetrability. (shrink)

Professor Grünbaum's much-discussed refutation of Zeno's metrical paradox turns out to be ad hoc upon close examination of the relevant portion of measure theory. Although the modern theory of measure is able to defuse Zeno's reasoning, it is not capable of refuting Zeno in the sense of showing his error. I explain why the paradox is not refutable and argue that it is consequently more than a mere sophism.

In recent years philosophers have given much attention to the ‘ontological problem’ of events. Donald Davidson puts the matter thus: ‘the assumption, ontological and metaphysical, that there are events is one without which we cannot make sense of much of our common talk; or so, at any rate, I have been arguing. I do not know of any better, or further, way of showing what there is’. It might be thought bizarre to assign to philosophers the task of ‘showing what (...) there is’. They have not distinguished themselves by the discovery of new elements, new species or new continents, nor even of new categories, although there has often been more dreamt of in their philosophies than can be found in heaven or earth. It might appear even stranger to think that one can show what there actually is by arguing that the existence of something needs to be assumed in order for certain sentences to make sense. More than anything, the sober reader will doubtlessly be amazed that we need to assume, after lengthy argument, ‘that there are events’. (shrink)