Abstract

As Max Jammer has rightly said, contemporary discussion of the metrical properties of space have been dominated in recent years by the work of Adolf Grünbaum. One of Grünbaum's most important essays in this area, "Geometry, Chronometry and Empiricism" is reprinted in its entirety as the first chapter of this work. The third and final chapter is a lengthy reply to Hilary Putnam who published a critique of Grünbaum's original essay in 1963. Putnam's criticisms have not led Grünbaum to substantially change his views but they have provided the means for some clarification and extension of those views, e.g., with respect to the notions of congruence and conventionality and in relation to Zeno's paradoxes, color attributes, and other topics. Between the original essay and the lengthy reply to Putnam there is a shorter chapter which deals with, among other things, the hypothesis that everything has doubled overnight, a related topic to which Grünbaum has given some attention in journal articles. It is safe to say that persons concerned with the problem of conventionalism and other philosophical problems about space will have to work their way through this important book.--R. H. K.