Locke notoriously included number amongst the primary qualities of bodies and was roundly criticized for doing so by Berkeley. Frege echoed some of Berkeley's criticisms in attacking the idea that ‘Number is a property of external things’, while defending his own view that number is a property of concepts. In the present paper, Locke's view is defended against the objections of Berkeley and Frege, and Frege's alternative view of number is criticized. More precisely, it is argued that numbers are assignable (...) to pluralities of individuals. However, it is also argued that Locke went too far in asserting that ‘Number applies itself to ... everything that either doth exist, or can be imagined’. (shrink)

In E.J. Lowe's ontology, (individual) objects are property-bearers which 1) have identity and 2) are countable. This makes it possible to become or cease to be an object, by beginning or ceasing to fulfil one of these conditions. But the possibility of switching fundamental ontological categories should be excluded. Furthermore, Lowe does not show that “quasi-individuals” (which are not countable) can exist. I argue against Lowe that kinds cannot be property-bearers in a more genuine sense than properties, that they are (...) not absolutely countable, whether conceived according to science or common sense, and that they are dependent on individual objects. (shrink)

Jonathan Lowe argues that metaphysics should be restored to a central position in philosophy, as the most fundamental form of inquiry, whose findings underpin those of all other disciplines. He portrays metaphysics as charting the possibilities of existence, by identifying the categories of being and the relations between them. He sets out his own original metaphysical system, within which he seeks to answer many of the deepest questions in philosophy. 'a very rich book... deserves to be read carefully by anyone (...) interested in any of the many subjects he discusses.' Katherine Hawley, British Journal of the Philosophy of Science. (shrink)