"First published by Oxford University Press, 1916."--Title page verso.

This note deals with the prepositional uniformity principlep-UP: p x N A (p, x) x N p A (p, x) ( species of all propositions) in intuitionistic mathematics.p-UP is implied by WC and KS. But there are interestingp-UP-cases which require weak KS resp. WC only. UP for number species follows fromp-UP by extended bar-induction (ranging over propositions) and suitable weak continuity. As corollaries we have the disjunction property and the existential definability w.r.t. concrete objects. Other consequences are: there is no (...) non-trivial countable partition of;id is the only injective function from to; there are no many-place injective prepositional functions; card () is incomparable with the cardinality of all metric spaces containing at least three elements. (shrink)

First published in 1938. The aim of this book is to expound Kant’s _Critique of Judgement _by interpreting all the details in the light of what Kant himself declares to be his fundamental problem. _A Commentary on Kant’s Critique of Judgement _provides an excellent introduction to Kant’s third critique, and will be of interest to students of philosophy.

First published in 2002. Routledge is an imprint of Taylor & Francis, an informa company.

The Hellenistic temple of Apollo at Didyma presents several unique features in its plan. In its exterior it resembles the typical large Ionic temple of Asia Minor with a double colonnade surrounding it, no opisthodomus, and a pronaos containing three rows of four columns each. But at this point the plan of the temple was modified in the strangest manner. For the pronaos does not lead by a great central doorway into the cella, but where the doorway should come, the (...) worshipper entering the building found himself faced with a blank wall 1·495 rn high with above it a colossal opening 5·63 m wide. Consequently the worshipper in the pronaos could not even look directly into the sanctuary. Instead, just above his eye-level beyond the embrasure of this ‘window’ stretched the floor of a large room, 14·04 m by 6·73 m with its roof supported on two columns. Through this room's central door the spectator on ground level outside could catch a glimpse of the upper part of the naiskos in the inner court. (shrink)

In Plutarch's two narratives of the recapture of the Cadmea by the Thebans, 379/8 B.C. , he speaks of three harmosts as in command of the Spartan garrison. This is the only instance in Spartan history where more than one harmost is mentioned as exercising authority in the same city, and it suggests the question: Was Thebes for some reason receiving different treatment from the other cities where we hear of harmosts in residence ?

This paper defends the view of continuants as 'four-dimensional worms' against an argument of Geach's. This is to the effect that if continuants are four-dimensional worms then their stages either do, or do not, fall under the very general terms satisfied by the continuants themselves (a stage of a man either is, or is not, a man); but that either alternative is untenable. I try to show how the former alternative may be defended by appealing to some of Geach's own (...) ideas about identity; then go on to defend the four-dimensionalist view from a criticism of it by Mellor, and finish with an account of the intuitive distinction between process and continuant terms. (shrink)

For two hundred years, Americans have believed that they have an obligation to improve the lot of humanity, a belief that has consistently shaped U.S. foreign policy. Yet within this consensus, there are two competing schools of thought: the "exemplarist" school (Brands' term) which holds that what America chiefly owes the world is the benign example of a well-functioning democracy, and the "vindicationist" school which argues that force must sometimes supplement a good example. In this book, H.W. Brands traces the (...) evolution of these two schools as they emerged in the thinking and writing of the most important public thinkers of the past two centuries. (shrink)

'Uncertainty and chance' is a subject with a broad span, in that there is no academic discipline or walk of life that is not beset by uncertainty and chance. In this book a range of approaches is represented by authors from varied disciplines: natural sciences, mathematics, social sciences and medical sciences. At one extreme, this volume is concerned with the foundations of probability. At the other extreme, we have scholars who acknowledge the concept of chance and uncertainty but do not (...) cope with it by means of systematic measurement or quantative analysis. (shrink)