Abstract

This is the first of a number of volumes designed to review the philosophical work which has been done in various areas of philosophy between the years 1956 and 1966. It succeeds an earlier three volume publication entitled Philosophy in the Mid-Century which covered the period from 1949 to 1955. This first volume in the series covers the fields of logic, philosophical logic, foundations and philosophy of mathematics. For anyone interested in these fields, the book is an indispensable guide. The procedure is that an expert in a given area writes a summary of the work done in the area in the last ten years and adds a bibliography covering the same period. In all there are thirty-two such essays, most written in English, but a few in French and German. Some representative essays and their authors are the following: On the logical side, Modal Logic, Many Valued Logics, Logic of Practical Discourse, Semantics, Model Theory, Pragmatics, Chronological or Tense Logic, The Logic of Questions, Combinatory Logic and others. There are two general essays on recent developments in philosophical logic and a number of essays on the development of logic in various Eastern and Western European countries and Japan. On the mathematical side are three essays on foundations of set theory and mathematics, essays on Intuitionism in mathematics, and general essays by A. Church, H. Freudenthal and others. The essays are generally of high caliber and the bibliographies in most cases very comprehensive. Occasionally the essays contain not only summary of work done but original suggestions and development of ideas. It would be hard to find a more useful guide for the philosopher overwhelmed by the many developments in these fields in recent years.--R. H. K.