Bibliography of A. A. Fraenkel (p. ix-x)--Axiomatic set theory. Zur Frage der Unendlichkeitsschemata in der axiomatischen Mengenlehre, von P. Bernays.--On some problems involving inaccessible cardinals, by P. Erdös and A. Tarski.--Comparing the axioms of local and universal choice, by A. Lévy.--Frankel's addition to the axioms of Zermelo, by R. Mantague.--More on the axiom of extensionality, by D. Scott.--The problem of predicativity, by J. R. Shoenfield.--Mathematical logic. Grundgedanken einer typenfreien Logik, von W. Ackermann.--On the use of Hilbert's [epsilon]-operator in scientific (...) theories, by R. Carnap.--Basic verifiability in the combinatory theory of restricted generality, by H. B. Curry.--Uniqueness ordinals in constructive number classes, by H. Putnam.--On the construction of models, by A. Robinson.--Interpretation of mathematical theories in the first order predicate calculus, by T. Skolem.--The elementary character of two notions from general algebra, by R. Vaught.--Foundations of arithmetic and analysis. Axiomatic method and intuitionism, by A. Heyting.--On rank-decreasing functions, by G. Kurepa.--On non-standard models for number theory, by E. Mendelson.--Concerning the problem of axiomatizability of the field of real numbers in the weak second order logic, by A. Mostowski.--Non-standard models and independence of the induction axiom, by M. O. Rabin.--Sur les ensembles raréfiés de nombres naturels, par W. Sierpinski.--Philosophy of logic and mathematics. Remarks on the paradoxes of logic and set theory, by E. W. Beth.--Logique formalisée et raisonnement juridique, par R. Feys.--Im Umkreis der sogenannten Raumprobleme, von H. Freudenthal.--Process and existence in mathematics, by H. Wang. (shrink)

This book explores the extent to which children engage with morality within their everyday lives.

This paper offers a refutation of P. Duhem's thesis that the falsifiability of an isolated empirical hypothesis H as an explanans is unavoidably inconclusive. Its central contentions are the following: 1. No general features of the logic of falsifiability can assure, for every isolated empirical hypothesis H and independently of the domain to which it pertains, that H can always be preserved as an explanans of any empirical findings O whatever by some modification of the auxiliary assumptions A in conjunction (...) with which H functions as an explanans. For Duhem cannot guarantee on any general logical grounds the deducibility of O from an explanans constituted by the conjunction of H and some revised non-trivial version R of A: the existence of the required set R of collateral assumptions must be demonstrated for each particular case. 2. The categorical form of the Duhemian thesis is not only a non-sequitur but actually false. This is shown by adducing the testing of physical geometry as a counterexample to Duhem in the form of a rebuttal to A. Einstein's geometrical articulation of Duhem's thesis. 3. The possibility of a quasi a priori choice of a physical geometry in the sense of Duhem must be clearly distinguished from the feasibility of a conventional adoption of such a geometry in the sense of H. Poincare. And the legitimacy of the latter cannot be invoked to save the Duhemian thesis from refutation by the foregoing considerations. (shrink)

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)}. (shrink)

According to some cosmologists, the big bang cosmogony and even the (now largely defunct) steady-state theory pose a scientifically insoluble problem of matter-energy creation. But I argue that the genuine problem of the origin of matter-energy or of the universe has been fallaciously transmuted into the pseudo-problem of creation by an external cause. A fortiori, it emerges that the initial "true" and "false" vacuum states of quantum cosmology do not vindicate biblical divine creation ex nihilo at all.

Ellis and Bowman's account of nonstandard signal synchronizations is examined as a prolegomenon to this paper. Attention is called to some consequences of an important ambiguity in their account of the transitivity of nonstandard synchrony. Then an analysis is given of the principle of relativity to assess E & B's claim that this principle either restricts nonstandard signal synchronisms or rules them out altogether. It is argued that the latitude for choices of nonstandard synchronisms is not circumscribed by the factual (...) content of the principle of relativity; instead, the exclusion of such synchronisms by this principle depends on a tacit appeal to the particular conventions implicit in certain formulations of the principle. Hence E & B's claim is rejected as an argument against the factual tenability of nonstandard synchronisms. (shrink)

It is a commonplace in the analytic geometry of physical space-time that an extended straight line segment, having positive length, is treated as “consisting of” unextended points, each of which has zero length. Analogously, time intervals of positive duration are resolved into instants, each of which has zero duration.

The last decade has witnessed the beginnings of a remarkable convergence of Husserlian phenonenology and analytic philosophy of language, and the present volumes provide original and important texts of the phenomenological philosophy of language. Powerfully influenced by the writings of the early Husserl, Reinach fashioned Husserl’s ideas into a rigorous analytical methodology of his own, which he applied in particular to problems in logic and the theory of knowledge, and to the philosophies of law and psychology. The central role of (...) the concept of state of affairs in Reinach’s philosophy will bring to mind immediately the formal ontology of Wittgenstein’s Tractatus. Reinach’s most significant contribution, however, is contained in his The a priori foundations of civil law (1913), above all in the detailed analysis of the a priori structure of the act of promising. This amounts to an elaborate phenomenological theory of speech acts which anticipates, and in some respects goes beyond, the later theories of Austin and Searle. The present edition is in two volumes. Volume 1, which includes a biographical and thematic introduction by the editors, contains critical editions of those pieces published by Reinach himself. Volume II is a collection of all those items in Reinach’s surviving Nachlass which are in publishable form, including a number of important pieces not hitherto obtainable on such themes as ethical predicates, speech acts (“soziale Akte”), perception and the theory of number, together with a comprehensive sketch of the problems in the theory of knowledge, logic and ethics. Appended to this is a text-critical apparatus which also contains extensive discussions of the origins and sources of the materials in question. (shrink)

Consider where κ is an uncountable regular cardinal. By a result of Shelah's we have for almost all witnessing this. Here we consider the question if there could be a similar result for. We will discuss some basic facts implying that this cannot hold in general. We will use these facts to construct an interesting example of a pseudo Prikry forcing, answering a question of Sinapova.

Public health interventions, particularly in low‐ and middle‐income countries (LMICs), are implemented with the never‐ending challenge of limited resources and the ever‐present challenge of choosing between interventions. While necessary, the application of ethical analysis is absent in most of such decision‐making, resulting in fewer favourable consequences. In applying ethical principles to the saving of women from the burden of cervical cancer, I argue in favour of saving statistical lives (investing in prevention) in LMICs, by mapping the principles of justice in (...) resource allocation to the prevailing circumstance. The key facts in this circumstance are that providing treatment (which is saving identified lives), involves mostly providing palliative treatment, which is associated with a high likelihood of death among the identified lives while undergoing treatment or shortly thereafter. I focus on the dilemma of having a national cancer prevention program versus the expansion of cancer treatment facilities. (shrink)

Cette traduction inedite de l'oeuvre principale d'Adolf Reinach (1883-1917) apporte des contributions fondamentales a divers champs de la connaissance. Disciple de Husserl, Reinach propose une interpretation du monde social qui engage la phenomenologie sur le terrain des actes sociaux et des experiences individuelles qui les accompagnent, afin d'isoler les structures a priori qui sont au principe meme du droit positif. Le travail de Reinach s'inscrit egalement dans un champ d'analyse philosophique et linguistique centre sur les enonces dits performatifs, baptises (...) tels par Austin quelques decennies plustard. (shrink)

Commentaries on Aristotle's writings have been produced since the 2nd century AD. This edition contains Greek commentaries on his work from the 3rd to the 8th centuries AD by, among others, Alexander of Aphrodiensias, Themistios, Joh. Philoponus, Simplicius in Greek.

Seit dem 2. nachchristlichen Jahrhundert werden die Schriften von Aristoteles kommentiert. Diese Ausgabe enthält griechische Kommentare zu seinem Werk vom 3. bis 8. Jahrhundert n. Chr., u. a. von Alexander von Aphrodiensias, Themistios, Joh. Philoponus, Simplicius in griechischer Sprache.

Professor Buck has given an illuminating account of the logical status of reflexive predictions in the social sciences. He tells us that the classification of a prediction as reflexive is predicated on a tacit distinction between the “normal” and the “abnormal” or perturbed conditions under which it is made. This seems to me to be a perceptive and sound circumscription of the class of reflexive predictions as encountered in the social sciences. He goes on to show helpfully how the social (...) scientist can cope with the pitfalls of spurious disconfirmation and spurious confirmation which are created by “self-frustrating” and “self-fulfilling” predictions respectively. And Professor Buck then offers some searching doubts concerning the adequacy of regarding self-fulfilling predictions as the pattern of racial discrimination against minority groups. Finally, he presents objections to my critique of Robert Merton's claim that self-defeating and self-fulfilling predictions are endemic to the domain of human affairs and are “not found among predictions about the world of nature.”. (shrink)

*Weitere Angaben Inhalt: Mit der Frage nach der Zuständigkeit der eigenen Nase in Religionsangelegenheiten beginnt diese ungewöhnliche Reise in Erfahrungsbereiche, die von Theologen bislang eher gemieden wurden. Nicht der Inhalt von Glaubensbekenntnissen ist Gegenstand des Interesses, sondern der Tonfall, in dem sie vorgetragen werden. Von bestimmten Kirchengerüchen geht die Rede, von Körperhaltungen beim Gottesdienst, von Kindheitserinnerungen und vom Läuten der Glocken. Dabei stellt sich heraus, dass mit dem abgenützten Etikett des Religiösen die Sinnenfälligkeit des Erlebten nur sehr oberflächlich bezeichnet wird.

Keine ausführliche Beschreibung für "Epiktet und das Neue Testament" verfügbar.

Three major ways in which temporal asymmetries enter into scientific induction are discussed as follows: 1. An account is given of the physical basis for the temporal asymmetry of recordability, which obtains in the following sense: except for humanly recorded predictions and one other class of advance indicators to be discussed, interacting systems can contain reliable indicators of only their past and not of their future interactions. To deal with the exceptional cases of non-spontaneous "pre-records," a clarification is offered of (...) the essential differences in the conditions requisite to the production of an indicator having retrodictive significance ("post-record"), on the one hand, and of one having predictive significance ("prerecord" or recorded prediction), on the other. Purported counter-examples to the asymmetry of spontaneous recordability are refuted. 2. It is shown how in cases of asymmetric recordability, the associated retrodiction-prediction asymmetry makes for an asymmetry of assertibility as between an explanandum (or an explanans) referring to a future event and one referring to a past one. But it is argued that this epistemological asymmetry in the assertibility per se must be clearly distinguished from a logical asymmetry between the past and the future in regard to the inferability (deductive or inductive) of the explanandum from the explanans. And it is then contended that the failure to distinguish between an epistemological and a logical asymmetry vitiates the critiques that recent writers have offered of the Popper-Hempel thesis, which affirms symmetry of inferability as between predictive and post-explanatory arguments. In reply to Scriven, it is maintained that predictions based on mere indicators (rather than causes) do not establish an asymmetry in scientific understanding as between predictive arguments and post-explanatory ones. 3. As a further philosophical ramification of the retrodiction-prediction asymmetry, a set of sufficient conditions are stated for the correctness of philosophical mechanism as opposed to teleology. (shrink)

Distinguishes two senses of 'judgment' on the one hand as meaning a state of 'conviction' or 'belief', and on the other hand as meaning an act of 'affirmation' or 'assertion'. Certainly conviction and assertion stand in close relation to each other, but they delineate two heterogeneous logical spheres, and thereby divide the total field of the theory of judgment into two neighbouring but separate sub-fields. Once this is done it is shown to have implications for our understanding especially of the (...) phenomenon of negation, and of the distinction between negation as affirmation of a negative state of affairs, and negation as act of contradicting the judgment someone else has made. (shrink)

1. Introduction. The germ of the clock paradox was contained in Einstein's fundamental paper on the special theory of relativity, where he declares that the retardation of a moving clock “still holds good if the clock moves from A to B in any polygonal line, and also when the points A and B coincide.” This remark soon gave rise to a criticism which was to play a prominent role in the discussions of the consistency of the theory of relativity. It (...) was charged that this theory allows the paradoxical conclusion that at the instant of the return of a moving clock U1 to its point of departure A, the time shown by Ul is both earlier and later than the corresponding reading of a clock U2 which has remained stationary at A during U1's journey. Critics based this contention on the following assumptions, for which they claimed the sanction of relativity: The relative motion of U1 and U2 is such that the kinematic process seen by an observer on one of these clocks is of the same character as that seen by an observer on the other, and this symmetry allows each of these two clocks to be used as a reference frame from which to describe the motion of the other, and there is reciprocity between these two reference frames such that in each of them, the moving clock must be slow upon returning to the stationary one. (shrink)

Born a slave, but later earning his freedom and founding a school for teaching Stoicism to the sons of Roman noblemen, Epictetus has been a popular source of Stoic philosophy for centuries. Originally published in 1894 by the German scholar Adolf Bonhoeffer and here translated into English for the first time, this work remains the most systematic and detailed study of Epictetus' ethics. The basis, content, and acquisition of virtue are methodically described, while important related points in Stoic ethics (...) are discussed in an extensive appendix. Epictetus is compared throughout with the other late Stoics, Cicero, the early Stoics, and Christian moral thought. This approach shows that Stoic ethics continues to have great practical and pedagogical value. (shrink)