We analyze the quantum mechanical measuring process from the standpoint of information theory. Statistical inference is used in order to define the most likely state of the measured system that is compatible with the readings of the measuring instrument and the a priori information about the correlations between the system and the instrument. This approach has the advantage that no reference to the time evolution of the combined system need be made. It must, however, be emphasized that the result is (...) to be interpreted as the statistically inferred state of the original system rather than the state of the system after measurement. The phenomenon of “reduction of states” appears in this light as a consequence of incomplete information rather than the physical interaction between measured system and measuring instrument. (shrink)

The aim of this series is to bring together important recent writings in major areas of philosophical inquiry, selected from a variety of sources, mostly periodicals.

In the Transcendental Aesthetic (TA), Kant is typically held to make negative assertations about “things in themselves,” namely that they are not spatial or temporal. These negative assertions stand behind the “neglected alternative” problem for Kant’s transcendental idealism. According to this problem, Kant may be entitled to assert that spatio-temporality is a subjective element of our cognition, but he cannot rule out that it may also be a feature of the objective world. In this paper, I show in a new (...) way how Kant’s view (focusing on his conclusions about space) is not subject to this objection, by showing that he does not make the denial about mind-independent reality that he is typically held to make. The argument develops consequences of a new reading of Kant’s expression “an sich selbst” (‘in itself’; ‘in themselves’). I argue that “an sich selbst” or “per se” has a special, judgment-level role, so that this expression does not form new noun-terms adjectivally. It follows that the conceptual unit of Kant’s “Conclusions” in the TA is simply “things” (Dinge), since “things in themselves” is not a nominal expression; Kant adopts the Wolffian ontological use of “thing” as the basic kind-term for any existent. The arguments that things per se are not in space are arguments that space cannot be a necessary property or relations of things as a kind. I show that this does not involve the positive claim about mind-independent reality that inspires the neglected alternative objection. (shrink)

In a recent essay, “Frege's Theory of Sense of Reference: Some Exegetical Notes”, Saul Kripke shows that in addition to being an astute critic of Frege, he is also an insightful interpreter. Kripke's Frege emerges as a closet Russellian, who, like Russell, relies heavily on a doctrine of acquaintance. Is Kripke right? Where exactly does his approach resemble, and where depart from earlier interpretations, and what should one take away about whether or not Frege really was a Russellian and the (...) effect this has on his theory? (shrink)

In this paper we elaborate on the question how to bridge the gap between contemporary (New) music and the tradition of the past, often called ‘classical’ music. First we analyze the notion of tradition (in classical music) as being distinct from traditional music, nationalism and traditionalism. A central role in this paper is dedicated to the role of counterpoint education following J.J. Fux’s Gradus ad Parnassum in the development of Central-European classical music between the late Renaissance and late Romantic periods. (...) The developments in the 20th century New Music reveal several important trend breaks. The controversies raised during the early Renaissance, regarding the practice of polyphonic singing, are discussed with respect to their impact on music development in later ages. From these controversies and the re-discovery of Nicholas de Cusa’s view on mysticism, the experience of the non-experience in polyphonic music is elucidated. Herewith, an illuminative heuristic is found in the enfolding-unfolding paradigm both in music and pictural arts, from the Renaissance till the present. (shrink)

Asperó and Schindler have completely solved the Axiom [Formula: see text] vs. [Formula: see text] problem. They have proved that if [Formula: see text] holds then Axiom [Formula: see text] holds, with no additional assumptions. The key question now concerns the relationship between [Formula: see text] and Axiom [Formula: see text]. This is because the foundational issues raised by the problem of Axiom [Formula: see text] vs. [Formula: see text] arguably persist in the problem of Axiom [Formula: see text] vs. (...) [Formula: see text]. The first of our two main theorems is that Axiom [Formula: see text] is equivalent to Axiom [Formula: see text], and as a corollary we show that Axiom [Formula: see text] fails in all the known models of [Formula: see text]. This suggests that [Formula: see text] actually refutes Axiom [Formula: see text]. Our second main theorem is that the [Formula: see text] Conjecture holds assuming [Formula: see text]. This is the strongest partial result known on this conjecture which is one of the central open problems of [Formula: see text]-theory and [Formula: see text]-logic. These results identify a fundamental asymmetry between the Continuum Hypothesis and any axiom which is both [Formula: see text]-expressible and which implies [Formula: see text], on the basis of generic absoluteness for the simplest of the nontrivial sentences of Third-Order Number Theory. These are the [Formula: see text]-sentences with no parameters. Such sentences are those which simply assert the existence of a set [Formula: see text] for which some property involving only quantification over [Formula: see text] holds. (shrink)

The seventh edition of this pragmatic guide to determining right and wrong in the workplace is updated with new case studies and ancillary materials to combine stakeholder perspectives with a deep dive on workplace ethics issues. Using a unique stakeholder-based approach, this book takes business ethics out of the theory realm and provides practical ways to analyze any business decision. Including dozens of cases, Joseph Weiss looks beyond the impacts of ethical lapses on share price and profit to focus on (...) relationships between stakeholders, including individuals, groups, corporations, and governments. The new seventh edition includes seven new cases and ten new Point/Counterpoint exercises, which challenge students to argue both sides of a contemporary issue. It incorporates the latest research as well as updated cases dealing with recent scandals at organizations such as Boeing, Facebook, and Uber. Professors will have access to online support, including teaching notes, PowerPoint slides, and sample tests. The book is equipped with a step-by-step guide to implementing stakeholder analysis, tips to help students apply ethical principles in their personal and professional lives, and comprehensive coverage of employee workplace issues. Addressing relevant topics such as risk management, preferential hiring, and sexual harassment in conjunction with the digital divide, bribery, the environment, and more, Business Ethics, seventh edition explores ethical implications in today's increasingly interconnected global business environment. (shrink)

This masterful work on Kant's Religion within the Boundaries of Mere Reason explores Kant's treatment of the Idea of God, his views concerning evil, and the moral grounds for faith in God. Kant and Religion works to deepen our understanding of religion's place and meaning within the history of human culture, touching on Kant's philosophical stance regarding theoretical, moral, political, and religious matters. Wood's breadth of knowledge of Kant's corpus, philosophical sharpness, and depth of reflection sheds light not only on (...) Kant, but also on the fate of religion and its relation to philosophy in the modern world. (shrink)

Concentrating upon applications that are most relevant to modern physics, this valuable book surveys variational principles and examines their relationship to dynamics and quantum theory. Stressing the history and theory of these mathematical concepts rather than the mechanics, the authors provide many insights into the development of quantum mechanics and present much hard-to-find material in a remarkably lucid, compact form. After summarizing the historical background from Pythagoras to Francis Bacon, Professors Yourgrau and Mandelstram cover Fermat's principle of least time, (...) the principle of least action of Maupertuis, development of this principle by Euler and Lagrange, and the equations of Lagrange and Hamilton. Equipped by this thorough preparation to treat variational principles in general, they proceed to derive Hamilton's principle, the Hamilton-Jacobi equation, and Hamilton's canonical equations. An investigation of electrodynamics in Hamiltonian form covers next, followed by a resume of variational principles in classical dynamics. The authors then launch into an analysis of their most significant topics: the relation between variational principles and wave mechanics, and the principles of Feynman and Schwinger in quantum mechanics. Two concluding chapters extend the discussion to hydrodynamics and natural philosophy. Professional physicists, mathematicians, and advanced students with a strong mathematical background will find this stimulating volume invaluable reading. Extremely popular in its hardcover edition, this volume will find even wider appreciation in its first fine inexpensive paperbound edition. (shrink)

It is a widely known but little considered fact that Albert Einstein and Kurt Gödel were best friends for the last decade and a half of Einstein's life. The two walked home together from Princeton's Institute for Advanced Study every day; they shared ideas about physics, philosophy, politics, and the lost world of German science in which they had grown up. By 1949, Gödel had produced a remarkable proof: In any universe described by the Theory of Relativity, time cannot exist (...) . Einstein endorsed this result-reluctantly, since it decisively overthrew the classical world-view to which he was committed. But he could find no way to refute it, and in the half-century since then, neither has anyone else. Even more remarkable than this stunning discovery, however, was what happened afterward: nothing. Cosmologists and philosophers alike have proceeded with their work as if Gödel's proof never existed -one of the greatest scandals of modern intellectual history. A World Without Time is a sweeping, ambitious book, and yet poignant and intimate. It tells the story of two magnificent minds put on the shelf by the scientific fashions of their day, and attempts to rescue from undeserved obscurity the brilliant work they did together. (shrink)

This is an expansion of the author's 1991 work which investigates the implications of Gödel's writings on Einstein's theory of relativity as they relate to the fundamental questions of the nature of time and the possibilities for time travel.

While the idea of philosophy as conceptual analysis has attracted many adherents and undergone a number of variations, in general it suffers from an authority problem with two dimensions. First, it is unclear why the analysis of a concept should have objective authority: why explicating what we mean should express how things are. Second, conceptual analysis seems to lack intersubjective authority: why philosophical analysis should apply to more than a parochial group of individuals. I argue that Hegel’s conception of social (...) ontology, focused on his concept of “ethical life” (Sittlichkeit), helps to explain how concepts (and their explication) have both objective and intersubjective authority in the social domain. Hegel claims that modern institutions are the product of self-conscious purposes, so that they are conceptually constituted. Concepts do not just represent these objects and so depend on a contingent relation to them. As many contemporary social ontologists agree, this means that our concepts of these institutions are uniquely epistemically “transparent.” They have objective authority. Concepts have intersubjective authority in the modern world as well, according to Hegel. However, I show that this feature of Hegel’s account does not rely on the solution to a philosophical problem. Rather, since the concepts of modern ethical life are “essentially contested,” their content depends on the practical and political agreement of modern subjects. This means that concepts can only have objective authority if some prior intersubjective agreement has been reached. The role of philosophy as conceptual analysis is thus importantly dependent on political developments. (shrink)

This is a book about the philosophy of time, and in particular the philosophy of the great logician Kurt Godel (1906-1978). It evaluates Godel's attempt to show that Einstein has not so much explained time as explained it away. Unlike recent more technical studies, it focuses on the reality of time. The book explores Godel's conception of time, existence, and truth with special reference to Plato, Aristotle, Kant, and Frege. In the light of this investigation an attempt is made to (...) shed light on such issues as the precise sense in which Godel believed in the possibility of time travel, the relationship of the reality of time to the objectivity of temporal becoming, and the significance of time for human existence.This is a book about the philosophy of time, and in particular the philosophy of the great logician Kurt Godel (1906-1978). It evaluates Godel's attempt to show that Einstein has not so much explained time as explained it away. Unlike recent more technical studies, it focuses on the reality of time. The book explores Godel's conception of time, existence, and truth with special reference to Plato, Aristotle, Kant, and Frege. In the light of this investigation an attempt is made to shed light on such issues as the precise sense in which Godel believed in the possibility of time travel, the relationship of the reality of time to the objectivity of temporal becoming, and the significance of time for human existence. (shrink)

The dead are gone. They count for nothing. Yet, if we count the dead, their number is staggering. And they account for most of what is great about civilization. Compared to the greatness of the dead, the accomplishments of the living are paltry. Which is it then: are the dead still there tobe counted or not? And if they are still there, where exactly is "there"? We are confronted with the ancient paradox of nonexistence bequeathed us by Parmenides. The mystery (...) of death is the mystery of nonexistence.A successful attempt to provide a metaphysics of death, then, must resolve the paradox of nonexistence. That is the aim of this study. At the same time, the metaphysics of death, of ceasing to exist, must serve as an account of birth, of coming to exist; the primary thesis of this book is that thisdemands going beyond existence and nonexistence to include what underlies both, which one can call, following tradition, "being." The dead and the unborn are therefore objects that lack existence but not being. Nonexistent objects - not corpses, or skeletons, or memories, all of which are existentobjects - are what are "there" to be counted when we count the dead. (shrink)

The fundamental open questions of general relativity theory are the unification of the gravitational field with other fields, aiming at a unified geometrization of physics, as well as the renormalization of relativistic gravitational theory in order to obtain their self-consistent solutions. These solutions are to furnish field-theoretic particle models—a problem first discussed by Einstein. In addition, we are confronted with the issue of a coupling between gravitational and matter fields determined (not only) by Einstein's principle of equivalence, and also with (...) the question of the geometric meaning of a gravitational quantum theory. In our view, all these problems are so closely related that they warrant a general solution. We treat mainly the concepts suggested by Einstein and Weyl. (shrink)

Lichtenberg, the German philosopher and physicist, once remarked: “It is almost impossible to carry the torch of truth through a crowd without singeing someone's beard.” Goethe, coeval with Lichtenberg, possessed by the conviction that he too was the bearer of truth, recked not whose beard was singed. Between his scientific attitude and his philosophic insight, however, a contradiction was patent, as revealed in his maxim that truth is a torch and that it is only with blinking eyes that we try (...) to get past it, whilst in actual terror of being burnt. (shrink)

Inleidend studieboek op universitair niveau over de Nederlandse rechtswetenschap.

Traditionally, skeptics as well as their opponents have agreed that in order to know that p one must be able, by some preferred means, to rule out all the alternatives to p. Recently, however, some philosophers have attempted to avert skepticism not (merely) by weakening the preferred means but rather by articulating a subset of the alternatives to p — the so-called relevant alternatives — and insisting that knowledge that p requires only that we be able (by the preferred means) (...) to rule out members of the set. In this paper I argue that a precise formulation of this new approach reveals it inadequate as a solution to skepticism. (shrink)

De Interpretatione is among Aristotle's most influential and widely read writings; C. W. A. Whitaker presents the first systematic study of this work, and offers a radical new view of its aims, its structure, and its place in Aristotle's system. He shows that De Interpretatione is not a disjointed essay on ill-connected subjects, as traditionally thought, but a highly organized and systematic treatise on logic, argument, and dialectic.

This book explores Kant's views on the concept of God and on the attempt to demonstrate God's existence as a means of understanding Kant's work as a whole and of achieving a proper appreciation of the contents of Kant's moral faith.