infinite, and offer several arguments in sup port of this thesis. I believe their arguments are unsuccessful and aim to refute six of them in the six sections of the paper. One of my main criticisms concerns their supposition that an infinite series of past events must contain some events separated from the present event by an infinite number of intermediate events, and consequently that from one of these infinitely distant past events the present could never have been reached. I (...) introduce.. (shrink)

Kant's first antinomy uses a notion of infinity that is tied to the concept of (finitary) successive synthesis. It is commonly objected that (i) this notion is inadequate by modern mathematical standards, and that (ii) it is unable to establish the stark ontological assumption required for the thesis that an infinite series cannot exist. In this paper, I argue that Kant's notion of infinity is adequate for the set-up and the purpose of the antinomy. Regarding (i), I show that contrary (...) to appearance, the Critique can even accommodate a modern notion of infinity without consequences for the antinomy; and regarding (ii), that the ‘ontological’ consequence indeed follows once its covertly epistemic character is adequately understood. (shrink)

John King-Farlow's ‘The Positive McTaggart on Time’ brings out extremely important likenesses between ‘abstract’ metaphysicians and ‘concrete’ philosophers of science. These striking similarities illustrate a perennial human quest for Something More Basic than Time, a quest which characterizes not only mystics who rejoice in contradictions but hard-headed philosophers who submit to the rigours of logic. King-Farlow is largely concerned with the McTaggart of 1908 and his motivation for writing ‘The Unreality of Time’. I should like to explore further the surprising (...) bond between the Search for Something Deeper in the later McTaggart of The Nature of Existence and the writings on Time of Hans Reichenbach and Adolf Grünbaum. Reflection on this similarity should enable us better to evaluate the view that our vulgar, if practically useful, assertions about Time's Arrow must be reinterpreted by the wise in terms of chastened logical constructions out of statements about Something Deeper—logical constructions which are alleged, if chaste enough, to be eliminable. (shrink)