A revised and expanded version of studies by McKinsey, Winet and the authors, in axiomatic theories of value, together with a report of experiments designed to test the formal theories. This volume makes an important contribution to the theoretical and experimental investigation of values and decision-making, both of which subjects are still in their infancy. Experimental studies by Mosteller and Nogee and theoretical discussions of von Neumann and Morgenstern are criticized and improved. Ch. IV contains original suggestions for a theory (...) of utility involving incomparable values. -- A. R. A. (shrink)

This is an able book of essays, written by well-qualified scholars, about an unjustly neglected nineteenth century German philosopher. He is known in this country primarily as the founder of "formal sociology," but much of what he has to say belongs with equal propriety to the philosophy of culture. The aim of the volume is to rehabilitate Simmel's reputation, which suffered much among sociologists from attacks by Abel and Sorokin. The volume also contains about 100 pages of Simmel's own essays (...) in translation: "The Ruin," "The Handle," and "The Aesthetic Significance of the Face," among others.--A. R. A. (shrink)

An excellent introduction to symbolic logic. Part I, "Principles of Inference and Definition," carries the reader through the first order predicate calculus with identity, and relates the formal theory of inference to many standard informal arguments. Chapter 8 contains by far the best elementary discussion of the theory of definition now in print. Part II, "Elementary Intuitive Set Theory," gives a clear introduction to the fundamental concepts, and prepares the way for more advanced work in the field. The book is (...) distinguished by the number and variety of the applications of logic considered, both in formal mathematical reasoning, and in the axiomatization of various scientific theories. The final sections contain material which should be of interest to experts as well as novices.--A. R. A. (shrink)

An illuminating discussion of the logic of normative systems. The approach is semantical rather than syntactical, in the sense that the systems are defined by reference to truth-conditions rather than by axioms and rules. The results are substantially in accord with the familiar syntactic systems of deontic logic, but they do diverge in some non-trivial details. A perceptive study.--A. R. A.

Sections 1-6 contain a novel and perspicuous proof procedure for elementary quantification theory, which is "effective" in the sense that it will produce a proof of a theorem-candidate S if such a proof exists. In sections 7 and 8 a general theory of modalities is introduced, and the proof procedures are extended to the resulting systems. -- A. R. A.

A discussion of some experiments concerning subjective attitudes toward games, gambling, risk-taking, guessing, etc. Some of the experiments described are novel and interesting; but insufficient account is taken of previous experimental results, and the reports in general fail to meet current standards of clarity and completeness. The theory of games, obviously relevant to the topics discussed, is nowhere mentioned. --A. R. A.

A revised edition of the author's dissertation, originally published in 1941 and for several years out of print. The major change is in Chapter VI, "Formal Analysis of Inductive Probability," which has been entirely rewritten so as to take into account more recent writings on the logic of induction by Carnap, Reichenbach and others. Although studies in logic are not neglected, the author remains primarily concerned with the philosophic problem of finding a rational justification for inductive arguments. There is an (...) excellent bibliography, but no index.--A. R. A. (shrink)

This monograph continues the author's investigations into connections between symbolic logic and modern algebraic structures. The results presented support the thesis that contemporary studies in symbolic logic have a direct and immediate relevance for many topics in mathematics.--A. R. A.

This is a clearly written account of Martin's views of analytic truth, containing, in addition to the philosophical considerations, some novel formal results. The formal theory offered is shown to satisfy plausible adequacy conditions, and is notable for economy of assumptions--a reflection of Martin's conviction that semantical metalanguages should, so far as possible, be neutral to issues in ontology. But one need not share the author's extensionalist outlook in order to find much of interest here.--A. R. A.

An extension of game theory to the two-person game involving collaboration. In a detailed discussion of a simple case, the author argues persuasively that his methods yield a strategy which is sensible, prudent and fair for both participants. One of the more interesting by-products is a method for comparing inter-personal preference scales, thus providing an answer to one of the standard objections to the Hedonistic calculus. Braithwaite's approach is novel, and should be of interest to game-theorists as well as philosophers.--A. (...) R. A. (shrink)

This book consists of three parts: a general theory of descriptive ethics, a general theory of ethical discourse, and an application of II to the ethical discourse of the Navaho Indians, based on the writer's own field studies. The work is careful, clear, thorough, and detailed, and the inclusion of field notes is helpful in understanding and evaluating Ladd's reconstructions. There are questions of detail where one might cavil, but the book is an important contribution to the relatively unexplored area (...) where philosophy and the social sciences overlap. --A. R. A. (shrink)

A companion to the logic text by the same authors. -- A. R. A.