Because physical theories typically predict numerical values, an improvement in experimental precision reduces the tolerance range and hence increases corroborability. In most psychological research, improved power of a statistical design leads to a prior probability approaching ½ of finding a significant difference in the theoretically predicted direction. Hence the corroboration yielded by “success” is very weak, and becomes weaker with increased precision. “Statistical significance” plays a logical role in psychology precisely the reverse of its role in physics. This problem is worsened by certain unhealthy tendencies prevalent among psychologists, such as a premium placed on experimental “cuteness” and a free reliance upon ad hoc explanations to avoid refutation.

In his original paper of 1905, “On the Electrodynamics of Moving Bodies”, Einstein described a procedure for synchronizing distant clocks at rest in any inertial system K. Clocks thus synchronized may be said to be in standard signal synchrony in K. It has often been claimed that there are no logical or physical reasons for preferring standard signal synchronizations to any of a range of possible non-standard ones. In this paper, the range of consistent non-standard signal synchronizations, first for any one inertial system, and second for any set of such systems, is investigated, and it is shown that the requirement of consistency leaves much less room for choice than is commonly supposed. Nevertheless consistent non-standard signal synchronizations appear to be possible. However, it is also shown that good physical reasons for preferring standard signal synchronizations exist, if the Special Theory of Relativity yields correct predictions.

The thesis of the conventionality of distant simultaneity espoused particularly by Reichenbach and Grünbaum is thus either trivialized or refuted.

Four current accounts of theory reduction are presented, first informally and then formally: (1) an account of direct theory reduction that is based on the contributions of Nagel, Woodger, and Quine, (2) an indirect reduction paradigm due to Kemeny and Oppenheim, (3) an “isomorphic model” schema traceable to Suppes, and (4) a theory of reduction that is based on the work of Popper, Feyerabend, and Kuhn. Reference is made, in an attempt to choose between these schemas, to the explanation of physical optics by Maxwell's electromagnetic theory, and to the revisions of genetics necessitated by partial biochemical reductions of genetics. A more general reduction schema is proposed which: (1) yields as special cases the four reduction paradigms considered above, (2) seems to be in better accord with both the canons of logic and actual scientific practice, and (3) clarifies the problems of meaning variance and ontological reduction.

By means of a critical examination of a number of theses as to the nature of game-playing, the following definition is advanced: To play a game is to engage in activity directed toward bringing about a specific state of affairs, using only means permitted by specific rules, where the means permitted by the rules are more limited in scope than they would be in the absence of the rules, and where the sole reason for accepting such limitation is to make possible such activity.

Difficulties with the typological concept of species led biologists to reject the “typological” presupposition of an archetype which is manifest in each member of a species. The resulting concept of species, which is here called the phenotypic species concept, is considered as implying that biological species are not real. Modern population thinking has given rise to the concept of a species as a gene-pool. This modern concept is contrasted here with the phenotypic concept in light of some general criteria for evaluating species concepts and is shown to be more satisfactory. Finally, it is held that to ask if a species is real is to ask whether the species grouping arrived at by applying the principles involved in the species concept corresponds with groups of organisms amongst which important biological relationships exist. It is argued that in this sense species, as defined by the gene-pool concept, are certainly real.

In this article, three descriptive models are described and compared in an attempt to discover the minimum number of concepts and relations necessary to an abstract description of social structure. It is argued that a “situational model” which uses the concepts of social time, social space and social role together with the relations of internal structure and external distribution is both adequate to the task and superior to the two other models. The advantages and implications of the situational model are discussed.

Professor Marcucci's book on Whewell [6] is a comprehensive expository treatment of Whewell's philosophy of science. The work contains chapters on Whewell's theory of ideas, the fundamental principles of his philosophy of science, his views on mathematics and mechanics, and on his philosophy of induction and philosophy of discovery. In addition there is a chapter on the English reception of Whewell's thought. Professor Marcucci's notes are rich, both in references to Whewell's many critics and to nearly all of the extant literature on Whewell. Indeed, no full study of Whewell has as yet appeared that makes better or more extensive use of all the relevant literature on Whewell.

Permit me to reply to the recent note [1] in this journal by Robert J. Ackermann, concerning my critical comments (in [4]) on Nelson Goodman's entrenchment theory.

In Howard Kahane's current reply to my previous discussion of Goodman's elimination rules, he suggests both that the notion of conflict required by the first elimination rule cannot be made clear, and that both proposed revisions of the second elimination rule are too strong [4]. These seem to me to be the points which require settlement, and I would like to discuss them in this paper.