Four philosophical problems—predication, speech acts, rules, and innate ideas— are discussed in the light of their implications for psychological and linguistic research. The discussion of predication concerns both form and use. With respect to form, it is argued that our lexical memory is organized according to a predicate-argument formula that underlies the subject-predicate form of our sentences. With respect to use, it is argued that the illocutionary force of the sentence as a speech act must be taken into account. Both the formation and the use of such verbal constructions are normally characterized by systems of rules, but there is no clear account of what a rule is or how it might operate to control behavior, and this problem is especially difficult when, as in language, the person's knowledge of the rules is implicit. The innate basis for our human ability to acquire linguistic rules is considered and the problem of innateness is redefined around the conjecture that there are innate, language-specific mechanisms unique to human beings. The problem of investigating such language-specific mechanisms psychologically, however, is quite difficult at the present time.

A basic aim of E. Beth's work in philosophy of science was to explore the use of formal semantic methods in the analysis of physical theories. We hope to show that a general framework for Beth's semantic analysis is provided by the theory of semi-interpreted languages, introduced in a previous paper. After developing Beth's analysis of nonrelativistic physical theories in a more general form, we turn to the notion of the ‘logic’ of a physical theory. Here we prove a result concerning the conditions under which semantic entailment in such a theory is finitary. We argue, finally, that Beth's approach provides a characterization of physical theory which is more faithful to current practice in foundational research in the sciences than the familiar picture of a partly interpreted axiomatic theory.

Prompted by the “Panel Discussion of Grünbaum's Philosophy of Science” (Philosophy of Science 36, December, 1969) and other recent literature, this essay ranges over major issues in the philosophy of space, time and space-time as well as over problems in the logic of ascertaining the falsity of a scientific hypothesis.

The author's philosophy of geometry has recently been challenged along three main distinct lines as follows : (i) The Panel article by G. J. Massey calls for a more precise and more coherent account of the Riemannian conception of an intrinsic as opposed to an extrinsic metric, which the author has invoked as his basis for the distinction between non-conventional and convention-laden ascriptions of metrical equality and inequality; (ii) the latter distinction has been claimed to suffer from the liabilities of the so-called “standard conception” of scientific theories [36]; and (iii) pursuant to H. Putnam's “An Examination of Grünbaum's Philosophy of Geometry” [56], J. Earman [16, 17] and R. Swinburne [65] have contended that the difference between intrinsic and extrinsic metrics is scientifically unilluminating, and that the associated distinction between non-conventional and convention-laden metrical comparisons does not have the kind of relevance to extant scientific theories that the author has claimed for it.

The essay consists of two installments. The present installment, comprising the Introduction and Part A, is devoted to the clarification, correction and further development of the author's prior writings on the philosophy of geometry. Its main objective is constructive elaboration rather than offering polemics. But rebuttals to Earman, [16, 17], Swinburne [65] and Demopoulos [13] are included, because their inclusion conduced to clarity in giving the new exposition. Part B is to appear in a subsequent issue and will be devoted to replies to critiques contained in the Panel Discussion and in other recent literature. It will range over issues in the philosophy of geometry and in the logic of ascertaining the falsity of a scientific hypothesis.

By way of merely elliptical anticipation of much more precise statements given in Part A, section 3(ii), the Introduction dissociates the notion of convention-ladenness developed in Part A from the quite different notion integral to the so-called “standard conception” of scientific theories. Thereby, the Introduction prepares the ground for seeing, as a corollary to Part A, section 3(ii), that the notion advocated in the present essay has nothing to fear from the following fact, noted by C. G. Hempel ([36]; cf. also his 1970 Carus Lectures): “even though a sentence may originally be introduced as true by stipulation, it soon joins the club of all other member-statements of the theory and becomes subject to revision in response to further empirical findings and theoretical developments.”

Part A, which begins with a fairly detailed table of contents, endeavors to meet the aforementioned three-fold challenge to the author's philosophy of geometry. Massey's call for the provision of clear and detailed characterizations of intrinsic and extrinsic metrics is answered with the invaluable aid rendered personally by Massey himself. These characterizations are shown to permit a precise explication of the portions of Riemann's Inaugural Dissertation relevant to (1) Riemann's brilliant anticipation of Einstein's dynamical conception of physical geometry, and (2) the author's philosophical characterization of the metrics and geometries of space, time, and space-time {section 2(c)}.

A byproduct of the analysis is to raise two major philosophical doubts concerning Clifford's sketch of a so-called “space-theory of matter” as elaborated in J. A. Wheeler's relativistic geometrodynamics. That theory's vision of understanding matter as a manifestation of empty curved space is questioned in regard to (1) the existence of an intra-geometrodynamic basis for individuating the metrically homogeneous world points of its space-time manifold {section 1(a)}, and (2) the compatibility of the theory with the Riemannian metrical philosophy apparently espoused by its proponents {section 2(c) (i)}.

The ultimate source of explanation in biology is the principle of natural selection. Natural selection means differential reproduction of genes and gene combinations. It is a mechanistic process which accounts for the existence in living organisms of end-directed structures and processes. It is argued that teleological explanations in biology are not only acceptable but indeed indispensable. There are at least three categories of biological phenomena where teleological explanations are appropriate.

The task of axiomatizing physical theories has attracted, in recent years, some interest among both empirical scientists and logicians. However, the axiomatizations produced by either one of these two groups seldom appear satisfactory to the members of the other. It is the purpose of this paper to develop an approach that will satisfy the criteria of both, hence permit us to construct axiomatizations that will meet simultaneously the standards and needs of logicians and of empirical scientists.

The notion of reduction in the natural sciences has been assimilated to the notion of inter-theoretical explanation. Many philosophers of science (following Nagel) have held that the apparently ontological issues involved in reduction should be replaced by analyses of the syntactic and semantic connections involved in explaining one theory on the basis of another. The replacement does not seem to have been especially successful, for we still lack a plausible account of inter-theoretical explanation. I attempt to provide one.

Intentionality is characteristic of many psychological phenomena. It is commonly held by philosophers that intentionality cannot be ascribed to purely physical systems. This view does not merely deny that psychological language can be reduced to physiological language. It also claims that the appropriateness of some psychological explanation excludes the possibility of any underlying physiological or causal account adequate to explain intentional behavior. This is a thesis which I do not accept. I shall argue that physical systems of a specific sort will show the characteristic features of intentionality. Psychological subjects are, under an alternative description, purely physical systems of a certain sort. The intentional description and the physical description are logically distinct, and are not intertranslatable. Nevertheless, the features of intentionality may be explained by a purely causal account, in the sense that they may be shown to be totally dependent upon physical processes.

Gödel's conclusion that time-travel is possible in his models of Einstein's gravitational theory has been questioned by Chandrasekhar and Wright, and treated as doubtful in the recent philosophical literature. The present note is intended to remove this doubt: a review of Gödel's construction shows that his arguments are entirely correct; and the objection is seen to rest upon a misunderstanding. Computational points treated succinctly by Gödel are here presented in fuller detail. The philosophical significance of Gödel's results is briefly considered, and a set of technical questions is posed whose answers would clarify this significance.

Several authors, e.g. Patrick Suppes and I. J. Good, have recently argued that the paradox of confirmation can be resolved within the developing subjective Bayesian account of inductive reasoning. The aim of this paper is to show that the paradox can also be resolved by the rival orthodox account of hypothesis testing currently employed by most statisticians and scientists. The key to the orthodox statistical resolution is the rejection of a generalized version of Hempel's instantiation condition, namely, the condition that a PQ is inductively relevant to the hypothesis (x)(Px ⊃ Qx) even in the absence of all further information. Though their reasons differ, it turns out that Bayesian and orthodox statisticians agree that this condition lies at the heart of the paradox.

The paper considers on what grounds we ought to choose between competing confirmation theories. It begins by distinguishing between confirmation theories and other theories which might be confused with them, such as theories of acceptability. It then argues that the task of a confirmation theory is to analyze rather than explicate our ordinary standards of confirmation, to “draw out” from our intuitive judgments the standards implicit in them. A theory of confirmation will do this in so far as it is coherent and does not yield counter-intuitive judgments.

Suppose that entities composed of two distinct components can be qualitatively ordered in two ways, such that each ordering relation satisfies the axioms of conjoint measurement. Without further assumptions nothing can be said about the relation between the pair of numerical scales constructed for each component. Axioms are stated that relate the two measurement theories, and that are sufficient to establish that the two conjoint scales on each component are linearly related.

The discrepancy between English if's and the horseshoe is far from being negligible. That is not a reason for distrusting the horseshoe, which is useful so long as it is taken to mean just what it is defined to mean ; and it is not a reason for distrusting our English if's, which in spite of their ambiguities are indispensable to our daily discourse. But it is a reason for distrusting the current logical pedagogy that leads students to take the two as being intertranslatable. So if symbolic logic is to help us in our English arguments (and that should surely be one of its functions) it needs to be supplemented: it needs to be provided with additional symbols (presumably with the introduction of one or more primitive concepts) that will preserve the meaning of our various if's with greater accuracy. In the present paper I shall point in the direction of such a logic. I cannot undertake to develop it in a complete postulational form; but I can at least call attention to certain English locutions by which the required postulates should be guided. And I can venture to state some of the postulates using appropriate symbols.

It is argued that Strawson's celebrated attacks on Russell's views about proper names and descriptions are misleading and unfounded. An attempt is made to show that Strawson's alternative views are philosophically more problematic than Russell's. It is also argued that, properly stated, Russell's analyses do not do violence to ordinary usage and that attempts to justify Strawson's analysis on the ground that it fits better with ordinary usage are mistaken.

Hempel's qualitative criteria of converse consequence and special consequence for confirmation are examined, and the resulting paradoxes traced to the general intransitivity of confirmation. Adopting a probabilistic measure of confirmation, a limiting form of transitivity of confirmation from evidence to predictions is derived, and it is shown to what extent its application depends on prior probability judgments. In arguments involving this kind of transitivity therefore there is no necessary “convergence of opinion” in the sense claimed by some personalists. The conditions of application of the limiting transitivity theorem are most perspicuously described in terms of De Finetti's notion of exchangeability, which leads to a suggested revaluation of the function of theories in relation to confirmation and explanation.

One of the most difficult problems facing anyone who would discuss Professor Carl Hempel's thesis about explanation is the following: which of the many objections that have been made are actually relevant to the thesis ? Professor Hempel has claimed that several of these objections are not relevant at all ([1], pp. 412-414). In order to evaluate such replies, let me first state what I take to be the three claims which constitute Professor Hempel's thesis.

His first claim is that all adequate scientific explanations possess a certain property:

The Reichenbach-Grünbaum thesis of the conventionality of simultaneity is clarified and defended by developing the consequences of the Special Theory when assumptions are not made concerning the one-way speed of light. It is first shown that the conventionality of simultaneity leads immediately to the conventionality of all relative speeds. From this result, the general-length-contraction and time-dilation relations are then derived. Next, the place of time-dilation and length-contraction effects within the Special Theory is examined in the light of the conventionality thesis. The slow-transport method of synchrony is then examined in the light of these results and is shown not to provide an adequate method of uniquely determining the one-way speed of light. Finally, the general ∊-Lorentz transformations for events along the x-axis are derived from three principles : the round-trip light principle, the principle of equal passage times, and the linearity principle. These principles are shown to be independent of one-way velocity assumptions, and thus may form the basis of a Special Theory of Relativity without simultaneity assumptions.

In an article in this journal [2], A. C. Michalos, while arguing for the normative and empirical inadequacy of the Von Neumann and Morgenstern (N-M) postulates of rational preference, completely misconstrued the concept of simple additivity contained in the (independence) postulates. As a result, the following argument is a non-sequitur.

The aim of the paper is to draw a connection between a semantical theory of conditional statements and the theory of conditional probability. First, the probability calculus is interpreted as a semantics for truth functional logic. Absolute probabilities are treated as degrees of rational belief. Conditional probabilities are explicitly defined in terms of absolute probabilities in the familiar way. Second, the probability calculus is extended in order to provide an interpretation for counter-factual probabilities—conditional probabilities where the condition has zero probability. Third, conditional propositions are introduced as propositions whose absolute probability is equal to the conditional probability of the consequent on the antecedent. An axiom system for this conditional connective is recovered from the probabilistic definition. Finally, the primary semantics for this axiom system, presented elsewhere, is related to the probabilistic interpretation.

The following questions are discussed here. Is induction a reasonable procedure in the context of a denial of physically necessary connections? What is physical necessity? If induction does presuppose physical necessity, what amount of it is presupposed ? It is argued that with logic as the only restriction on what is to count as a possible world, it is unreasonable to claim that observed connections, whether universal or statistical, will continue to hold. The concept of physical necessity is no more problematic than that of logical necessity, once it is recognized that the necessity of physical and logical necessity is the same. A variant of Keynes' principle of limited independent variety answers the question of the amount of physical necessity presupposed.

Roughly speaking all economists can be divided into two groups—those who agree with Milton Friedman and those who do not. Both groups, however, espouse the view that science is a series of approximations to a demonstrated accord with reality. Methodological controversy in economics is now merely a Conventionalist argument over which comes first—simplicity or generality. Furthermore, this controversy in its current form is not compatible with one important new and up and coming economic (welfare) theory called “the theory of the Second Best.” In this paper I offer a Second Best meta-theory that says that (1) any compromise between simplicity and generality must yield a theory which is “third best” by these Conventionalist criteria; and (2) there exists a better way than a compromise.