While in principle probabilistic logics might be applied to solve a range of problems, in practice they are rarely applied at present. This is perhaps because they seem disparate, complicated, and computationally intractable. However, we shall argue in this programmatic paper that several approaches to probabilistic logic into a simple unifying framework: logically complex evidence can be used to associate probability intervals or probabilities with sentences.

The progressive art guide - an entirely new method of self-instruction on modern arts, shown in their progressive stages of completion is an unchanged, high-quality reprint of the original edition of 1888. Hansebooks is editor of the literature on different topic areas such as research and science, travel and expeditions, cooking and nutrition, medicine, and other genres. As a publisher we focus on the preservation of historical literature. Many works of historical writers and scientists are available today as antiques only. (...) Hansebooks newly publishes these books and contributes to the preservation of literature which has become rare and historical knowledge for the future. (shrink)

We consider an oscillator subjected to a sudden change in equilibrium position or in effective spring constant, or both—to a “squeeze” in the language of quantum optics. We analyze the probability of transition from a given initial state to a final state, in its dependence on final-state quantum number. We make use of five sources of insight: Bohr-Sommerfeld quantization via bands in phase space, area of overlap between before-squeeze band and after-squeeze band, interference in phase space, Wigner function as quantum (...) update of B-S band and near-zone Fresnel diffraction as mockup Wigner function. (shrink)

Conditionals and conditional reasoning have been a long-standing focus of research across a number of disciplines, ranging from psychology through linguistics to philosophy. But almost no work has concerned itself with the question of how hearing or reading a conditional changes our beliefs. Given that we acquire much—perhaps most—of what we believe through the testimony of others, the simple matter of acquiring conditionals via others’ assertion of a conditional seems integral to any full understanding of the conditional and conditional reasoning. (...) In this paper we detail a number of basic intuitions about how beliefs might change in response to a conditional being uttered, and show how these are backed by behavioral data. In the remainder of the paper, we then show how these deceptively simple phenomena pose a fundamental challenge to present theoretical accounts of the conditional and conditional reasoning – a challenge which no account presently fully meets. (shrink)

This is a reply to ‘Defending Wittgenstein’, Piotr Dehnel's critique of my article, ‘Defending Wittgenstein's Remarks on Cantor from Putnam’. I first show that my position is much more in agreement with Felix Mühlhölzer than Dehnel takes it to be, and that his criticism of me is nothing more than a failure to recognize this. I then show how Dehnel incorrectly reads Wittgenstein as rejecting set theory as false. It is an overemphasis on and a much too narrow picture of (...) ‘applicability’ which leads him to this view. Finally, I conclude by rejecting Dehnel's view that Wittgenstein was a finitist about mathematics. (shrink)

What follows is a continuation of a debate that dates back to at least John Calvin and Jacobus Arminius but took on its naturalistic guise in the third generation of the Chicago school between Bernard Loomer and Bernard Meland. Basically, the argument pertains to whether God is to be associated with everything that is, including suffering and evil, or whether God is more rightly associated with what we take to be good or redemptive. Loomer defended the former position. Late in (...) life, he came to embrace pantheism, arguing that God and nature are identical. The thesis of his 1987 essay, “The Size of God,” was that the divine is to be equated with the world in its ambiguous and mysterious entirety—with the “Whole... (shrink)

In Remarks on the Foundations of Mathematics, Wittgenstein notes that he has ‘not yet made the role of miscalculating clear’ and that ‘the role of the proposition: “I must have miscalculated”…is really the key to an understanding of the “foundations” of mathematics.’ In this paper, I hope to get clear on how this is the case. First, I will explain Wittgenstein's understanding of a ‘foundation’ for mathematics. Then, by showing how the proposition ‘I must have miscalculated’ differentiates mathematics from the (...) physical sciences, we will see how this proposition is the key to understanding the foundations of mathematics. (shrink)

Voluntary stream segregation was investigated in cochlear implant users and normal-hearing listeners using a segregation-promoting objective approach which evaluated the role of spectral and amplitude-modulation rate separations on stream segregation and its build-up. Sequences of 9 or 3 pairs of A and B narrowband noise bursts were presented which differed in either center frequency of the noise band, the AM-rate, or both. In some sequences, the last B burst was delayed by 35 ms from their otherwise-steady temporal position. In the (...) other sequences, the last B bursts were temporally advanced from 0 to 10 ms. A single interval yes/no procedure was utilized to measure participants’ sensitivity in identifying delayed vs. no-delay sequences. A higher d′ value showed the higher ability to segregate the A and B subsequences. For NH listeners, performance improved with each spectral separation. However, for CI users, performance was only significantly better for the condition with the largest spectral separation. Additionally, performance was significantly poorer for the largest AM-rate separation than for the condition with no AM-rate separation for both groups. The significant effect of sequence duration in both groups indicated that listeners made more improvement with lengthening the duration of stimulus sequences, supporting the build-up effect. The results of this study suggest that CI users are less able than NH listeners to segregate NBN bursts into different auditory streams when they are moderately separated in the spectral domain. Contrary to our hypothesis, our results indicate that AM-rate separation may interfere with the segregation of streams of NBN. Additionally, our results add evidence to the literature that CI users build up stream segregation at a rate comparable to NH listeners, when the inter-stream spectral separations are adequately large. (shrink)

This work has been selected by scholars as being culturally important, and is part of the knowledge base of civilization as we know it. This work was reproduced from the original artifact, and remains as true to the original work as possible. Therefore, you will see the original copyright references, library stamps (as most of these works have been housed in our most important libraries around the world), and other notations in the work. This work is in the public domain (...) in the United States of America, and possibly other nations. Within the United States, you may freely copy and distribute this work, as no entity (individual or corporate) has a copyright on the body of the work.As a reproduction of a historical artifact, this work may contain missing or blurred pages, poor pictures, errant marks, etc. Scholars believe, and we concur, that this work is important enough to be preserved, reproduced, and made generally available to the public. We appreciate your support of the preservation process, and thank you for being an important part of keeping this knowledge alive and relevant. (shrink)

This fourth volume of the Programme “The Philosophy of Science in a European Perspective” deals with new challenges in this field. In this regard, it seeks to broaden the scope of the philosophy of science in two directions. On the one hand, ...

Bell's theorem is expounded as an analysis in Bayesian inference. Assuming the result of a spin measurement on a particle is governed by a causal variable internal (hidden, “local”) to the particle, one learns about it by making a spin measurement; thence about the internal variable of a second particle correlated with the first; and from there predicts the probabilistic result of spin measurements on the second particle. Such predictions are violated by experiment: locality/causality fails. The statistical nature of the (...) observations rules out signalling; acausal, superluminal, or otherwise. Quantum mechanics is irrelevant to this reasoning, although its correct predictions of experiment imply that it has a nonlocal/acausal interpretation. Cramer's newtransactional interpretation, which incorporates this feature by adapting the Wheeler-Feynman idea of advanced and retarded processes to the quantum laws, is advocated. It leads to an invaluable way of envisaging quantum processes. The usual paradoxes melt before this, and one, the “delayed choice” experiment, is chosen for detailed inspection. Nonlocality implies practical difficulties in influencing hidden variables, which provides a very plausible explanation for why they have not yet been found; from this standpoint, Bell's theoremreinforces arguments in favor of hidden variables. (shrink)

Am 4. November 1915 legte EINSTEIN seine beriihmte Arbeit "Zur allgemeinen Relativitatstheorie" der PreuBischen Akademie der Wissenschaften zu Berlin vor. 50 Jahre spater organisierte die Deutsche Akademie der Wissenschaften im Andenken daran eine dreitagige Konferenz, in deren Verlauf auch eine Gedenkfeier abgehalten wurde. Ich hatte die Ehre, eine Gedenkrede iiber EINSTEIN und sein Werk zu halten. In der Zwischenzeit wurde unser Wissen urn viele wichtige neue Zusatze erweitert. Wir sehen nun, daB die Dynamik der Einsteinschen Theorie in einem Superraum ablauft. (...) Seine Struktur und seine Eigenschaften sind von graBter Bedeutung. Infolgedessen habe ich jenen Teil meines Berichtes von 1965, der iiber die Quantengeometrodynamik handelt, geandert und erweitert, urn vom § 12 an unser Wissen iiber den Super­ raum zusammenzufassen. Einige Teile des hier enthaltenen Materials sind schon friiher in anderer Form erschienen. Der Autor dankt fiir die Erlaubnis, dieses Material wieder ab­ drucken zu lassen, den folgenden Verlagen: Akademie-Verlag, Berlin; W. A. Benjamin, Inc., New York; Gordon and Breach, New York; und Springer-Verlag, New York und Heidelberg, sowie den Organisatoren jener Konferenzen, auf denen diese Beitrage vorgelegt wurden: Einstein-Symposium aus Deutsche Akademie der Wissenschaften zu Berlin, 1965; International School of Non-Linear Mathematics and Physics, Miinchen, J uli 1966; Academie Internationale de Philo sophie des Sciences, Oberwolfach/Freiburg i. Br., Juli 1966; Society of Engineering Science, Raleigh, North Carolina, Oktober 1966; Colloque Internationale sur Fluides et Champ Gravitationel en Relativite Generale, Paris, J uni 1967; und Battelle Ren­ contres in Mathematics and Physics, Seattle, Juli 1967. (shrink)

Relative essentialism is the novel metaphysical theory that there can be multiple objects occupying the same space at the same time each with its own de re modal truths. Relative essentialism is motivated by Davidson’s semantics and his denial that nature itself is divided into a privileged domain of objects. Relative essentialism was first presented by Samuel C. Wheeler. I argue that Wheeler’s approach to the Davidsonian program needs to be elaborated in terms of various types of preconceptual (...) intentional relations. This elaboration is already largely implicit in Davidson’s own later work and in Wheeler’s relaunching of Davidsonian metaphysics. More specifically, I argue that relative essentialism is ultimately founded not on predication narrowly construed but on intentionality broadly construed. Following Wheeler’s suggestion, comparisons are made between relative essentialism and work within the phenomenological tradition. (shrink)

There are a number of problematic features within the current treatment of time in physical theories, including the “timelessness” of the Universe as encapsulated by the Wheeler–DeWitt equation. This paper considers one particular investigation into resolving this issue; a conditional probability interpretation that was first proposed by Page and Wooters. Those authors addressed the apparent timelessness by subdividing a faux Universe into two entangled parts, “the clock” and “the remainder of the Universe”, and then synchronizing the effective dynamics of (...) the two subsystems by way of conditional probabilities. The current treatment focuses on the possibility of using a realistic clock system; namely, a coherent-state description of a damped harmonic oscillator. This clock proves to be consistent with the conditional probability interpretation; in particular, a standard evolution operator is identified with the position of the clock playing the role of time for the rest of the Universe. Restrictions on the damping factor are determined and, perhaps contrary to expectations, the optimal choice of clock is not necessarily one of minimal damping. (shrink)

An attempt to bring some of the major issues and debates in the philosophy of social research up-to-date. There is a new chapter on the philosophy of science, the conclusion has been rewritten and other chapters have been updated.

The revival of Leibniz studies in the past twenty-five years has cast important new light on both the context and content of Leibniz's philosophical thought. Where earlier English-language scholarship understood Leibniz's philosophy as issuing from his preoccupations with logic and language, recent work has recommended an account on which theological, ethical, and metaphysical themes figure centrally in Leibniz's thought throughout his career. The significance of these themes to the development of Leibniz's philosophy is the subject of increasing attention by philosophers (...) and historians. This collection of new essays by a distinguished group of scholars offers an up-to-date overview of the current state of Leibniz research. In focusing on nature and freedom, the volume revisits two key topics in Leibniz's thought, on which he engaged both contemporary and historical arguments. Important contributions to Leibniz scholarship in their own right, these articles collectively provide readers a framework in which to better situate Leibniz's distinctive philosophy of nature and the congenial home for a morally significant freedom that he took it to provide. (shrink)

Little is in print on the development in Britain of university disciplines including the academic study of education. This paper provides a historical narrative of the study of adolescence from the 1870 Education Act to the contemporary day. Adolescence textbooks are examined in the context of changes in the education system, such as the demand for secondary education and the expansion of teacher education. Changing emphases in adolescence research are traced through various publications to illustrate curriculum developments. The important contributions (...) of Dame Olive Wheeler, Professor W. D. Wall and other leading writers on adolescence are evaluated. It is clear that in over a century of national educational provision British teachers have never faced a great choice of adolescence texts and the paper concludes with some reflections on this observation. (shrink)

Little is in print on the development in Britain of university disciplines including the academic study of education. This paper provides a historical narrative of the study of adolescence from the 1870 Education Act to the contemporary day. Adolescence textbooks are examined in the context of changes in the education system, such as the demand for secondary education and the expansion of teacher education. Changing emphases in adolescence research are traced through various publications to illustrate curriculum developments. The important contributions (...) of Dame Olive Wheeler, Professor W. D. Wall and other leading writers on adolescence are evaluated. It is clear that in over a century of national educational provision British teachers have never faced a great choice of adolescence texts and the paper concludes with some reflections on this observation. (shrink)

The local Lorentz and diffeomorphism symmetries of Einstein's gravitational theory are spontaneously broken by a Higgs mechanism by invoking a phase transition in the early universe, at a critical temperature Tc below which the symmetry is restored. The spontaneous breakdown of the vacuum state generates an external time, and the wave function of the universe satisfies a time-dependent Schrödinger equation, which reduces to the Wheeler-deWitt equation in the classical regime for T (...) function. The conservation of energy is spontaneously violated for T>Tc, and matter is created fractions of seconds after the big bang, generating the matter in the Universe. The time direction of the vacuum expectation value of the scalar Higgs field generates a time asymmetry, which defines the cosmological arrow of time and the direction of increasing entropy as the Lorentz symmetry is restored at low temperatures. (shrink)