Ian Chiswell and Wilfrid Hodges. Mathematical logic. Oxford Texts in Logic, vol. 3. Oxford University Press, Oxford, England, 2007, 250 pp.

Abstract

that expressions like ‘brother’ and ‘male sibling’ may be translated into the same expression of another language that has only one phrase for the concept while preserving sense. Salmon proposses to resolve the conflict by abandoning Church’s solution to the paradox, noting that doing so appears to undermine the original impetus behind Frege’s distinction between Sinn and Bedeutung. The very possibility of language also discusses Church’s Translation Argument, arguing that the moral of that argument shows that Dummett’s account of language collapses into the absurd position that it is impossible for us to know a language. The volume contain a helpful bibliography of Salmon’s writings from1979–2005. Unfortunately, there is no bibliography of the works cited; the details are included only in footnotes. There is a good deal of cross-referencing amongst the included papers; regrettably, these references refer to other papers that appear in the collection by their original pagination. Furthermore, cross-references to footnotes internal to an individual paper seem not always to have been updated when changes to the text affected the numbering of the notes. The text is well bound, attractively if densely type-set, and relatively free from typographical errors. Happily, those that exist are easily rectified. Brian van den Broek Department of Philosophy, University of Manitoba, Winnipeg, Manitoba, R3T 2M8, Canada. broek@cc.umanitoba.ca.