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Aspects of Modern Logic. By E.W. Beth. New York: Humanities Press. 1971. Pp. xi, 176. $13.00.

This is a translation of a work published posthumously by Van Gorkum under the title Moderne Logica. It was meant to be an introductory logic text which would not only provide a "directive for critical thinking" but would also bring the fundamental problems of formal logic closer to the reader along with the necessary techniques required for that end. Unfortunately, Beth was able to complete only the first five chapters. His editors, E.M. Barth and J.J-A. Mooij, added as additional chapters five papers he wrote between 1951 and 1963 and which he meant to work into the present volume. These need much reworking before elementary logic students could benefit from them. Most of them were originally written for presentation at meetings of learned societies and are as a result very sketchy. They contain many terse and at times obscure historical references. A great number of very difficult issues are raised, many suggestive insights are dropped, but careful arguments are rarely given. On the other hand the first part of the book (pp. 3-74), which gives a systematic treatment of formal logic, is better. Still, even this part, being extremely compact, could hardly be digested by the unaided novice. However, with a great deal of help from an instructor it could serve as the anchor for a solid course lasting for one semester.