But it is beyond the power of human capacity to frame and retain distinct ideas of all the particular things we meet with: every bird and beast men saw; every tree and plant that affected the senses, could not find a place in the most capacious understanding. During the Middle Ages, much of the debate about universals concerned the question whether or not they could be considered to " exist ". ...

Paradoxically enough, the impression left on the reader by Georges Sadoul's admirable book on the origins of the cinema is of a reversal, in spite of the author's Marxist views, of the relations between an economic and technical evolution and the imagination of those carrying on the search. The way things happened seems to call for a reversal of the historical order of causality, which goes fro...

The Platonic multiverse view is that there are multiple and incompatible concepts of a set with corresponding Platonic universes. For example the continuum hypothesis may be true in some of these universes and false in others. This philosophical view leads to an approach for exploring mathematics that is similar to an approach that stems from the more conservative view that infinity is a potent...

The problem of classifying, up to isometry, the orientable spherical and hyperbolic 3-manifolds that arise by identifying the faces of a Platonic solid is formulated in the language of Coxeter groups. This allows us to complete the classification begun by Best [Canad. J. Math. 23 (1971) 451], Lorimer [Pacific J. Math. 156 (1992) 329], Richardson and Rubinstein [Hyperbolic manifolds from a regul...