With the use of a local dependency on instrument setting parameters of the probability density of local hidden variables, it is demonstrated that a Kolmogorov formulation reproduces the quantum correlation. This is the novelty of the work. In a Bell experiment, one cannot distinguish between Bell’s formula and the here presented local Kolmogorov formula. With the presented formula, no CHSH can be obtained. Therefore, the famous CHSH inequality has no excluding power concerning local extra Einstein parameter models. This result concurs (...) with other previous research concerning difficulties with Bell’s formula. (shrink)

In the paper we look into the epistemology of quantum theory. The starting point is the previously established mathematical ambiguity. The perspective of our study is the way that Schrödinger described Einstein’s idea of physics epistemology. Namely, physical theory is a map with flags. Each flag must, according to Einstein in Schrödinger’s representation, correspond to a physical reality and vice versa. With the ambiguity transformed to quantum-like operators we are able to mimic quantum theory. Therefore we have created little flags. (...) The question is raised whether nature itself is ambiguous. The created flags point at ambiguous nature. Or, nature is not ambiguous and the ambiguity can be repaired in mathematics. (shrink)

Context: Consistency of mathematical constructions in numerical analysis and the application of computerized proofs in the light of the occurrence of numerical chaos in simple systems. Purpose: To show that a computer in general and a numerical analysis in particular can add its own peculiarities to the subject under study. Hence the need of thorough theoretical studies on chaos in numerical simulation. Hence, a questioning of what e.g. a numerical disproof of a theorem in physics or a prediction in numerical (...) economics could mean. Method: An algebraic simple model system is subjected to a deeper structure of underlying variables. With an algorithm simulating the steps in taking a limit of second order difference quotients the error terms are studied at the background of their algebraic expression. Results: With the algorithm that was applied to a simple quadratic polynomial system we found unstably amplified round-off errors. The possibility of numerical chaos is already known but not in such a simple system as used in our paper. The amplification of the errors implies that it is not possible with computer means to constructively show that the algebra and numerical analysis will ‘on the long run’ converge to each other and the error term will vanish. The algebraic vanishing of the error term cannot be demonstrated with the use of the computer because the round-off errors are amplified. In philosophical terms, the amplification of the round-off error is equivalent to the continuum hypothesis. This means that the requirement of (numerical) construction of mathematical objects is no safeguard against inference-only conclusions of qualities of (numerical) mathematical objects. Unstably amplified round-off errors are a same type of problem as the ordering in size of transfinite cardinal numbers. The difference is that the former problem is created within the requirements of constructive mathematics. This can be seen as the reward for working numerically constructive. (shrink)

The objective of this report is twofold. In the first place it aims to demonstrate that a four-dimensional local U(1) gauge invariant relativistic quantum mechanical Dirac-type equation is derivable from the equations for the classical electromagnetic field. In the second place, the transformational consequences of this local U(1) invariance are used to obtain solutions of different Maxwell equations.

Mathematics equivalent to Bell's derivation of the inequalities, also allows a local hidden variables explanation for the correlation between distant measurements.

The biochemistry of geotropism in plants and gravisensing in e.g. cyanobacteria or paramacia is still not well understood today [1]. Perhaps there are more ways than one for organisms to sense gravity. The two best known relatively old explanations for gravity sensing are sensing through the redistribution of cellular starch statoliths and sensing through redistribution of auxin. The starch containing statoliths in a gravity field produce pressure on the endoplasmic reticulum of the cell. This enables the cell to sense direction. (...) Alternatively, there is the redistribution of auxin under the action of gravity. This is known as the Cholodny-Went hypothesis [2], [3]. The latter redistribution coincides with a redistribution of electrical charge in the cell. With the present study the aim is to add a mathematical unified field explanation to gravisensing. (shrink)

In the paper it is demonstrated that Bell's theorem is unproveable.

Contrary to Bell’s theorem it is demonstrated that with the use of classical probability theory the quantum correlation can be approximated. Hence, one may not conclude from experiment that all local hidden variable theories are ruled out by a violation of inequality result.

In the paper we will employ set theory to study the formal aspects of quantum mechanics without explicitly making use of space-time. It is demonstrated that von Neuman and Zermelo numeral sets, previously efectively used in the explanation of Hardy’s paradox, follow a Heisenberg quantum form. Here monadic union plays the role of time derivative. The logical counterpart of monadic union plays the part of the Hamiltonian in the commutator. The use of numerals and monadic union in the classical probability (...) resolution of Hardy’s paradox [1] is supported with the present derivation of a commutator for sets. (shrink)

As is well known, Einstein was dissatisfied with the foundation of quantum theory and sought to find a basis for it that would have satisfied his need for a causal explanation. In this paper this abandoned idea is investigated. It is found that it is mathematically not dead at all. More in particular: a quantum mechanical U(1) gauge invariant Dirac equation can be derived from Einstein's gravity field equations. We ask ourselves what it means for physics, the history of physics (...) and for the actual discussion on foundations. (shrink)

A classical probabilistics explanation for a typical quantum effect in Hardy's paradox is demonstrated.

Abstract In this paper an algebraic method is presented to derive a 4 × 4 Hermitian Schrödinger equation from with and . The latter operator replacement is a common procedure in a quantum description of the total energy. In the derivation we don’t make use of Dirac’s method of four vectors. Moreover, the root operator isn’t squared either. Instead, use is made of the algebra of operators to derive a Hermitian matrix Schrödinger equation. We believe that new physics can be (...) obtained from an alternative quantization of the relativistic total energy. Note e.g. the pion physics behind the Klein–Gordon equation and the antimatter behind the Dirac quantization of the total relativistic energy. In this paper, for the sake of clarity, a time-only dependence of the electromagnetic potential vector is assumed. It is also demonstrated that a “latent” Lorentz invariance exists related to a derived expression for amplitude and phase. (shrink)

In the paper it is demonstrated that Bell’s theorem is an unprovable theorem. The unprovable characteristic has, on the chemical side, repercussions for e.g. spin chemistry and the related magneto-reception studies. We claim that the unprovability of this basic mathematics cannot be ignored by the physics and chemical research community. The demonstrated mathematical multivaluedness could be an overlooked aspect of nature.

Voici la traduction du second ouvrage de Hans Vaihinger (1852-1833), dont la première édition date de 1902. Son titre, _Nietzsche philosophe_, est anodin pour le lecteur d’aujourd’hui. Or il pouvait choquer au début du xx e siècle. Nietzsche n’était pas encore reconnu comme un authentique philosophe, c’est-à-dire, à l’époque, comme l’auteur d’un système philosophique. Dès 1879, Alois Riehl lui avait consacré un essai intitulé : _Friedrich Nietzsche. Der Künstler und der Denker. Ein Essay_. En 1902, Rudolf Eisler avait publié un (...) ouvrage sur sa métaphysique et sa théorie de la connaissance : _Nietzsche’s Erkenntnistheorie und Metaphysik_. À la différence de ces deux auteurs, Vaihinger est le premier à présenter l’ensemble de la pensée de Nietzsche de manière systématique, à partir de son noyau central, montrant ainsi qu’on peut le considérer et l’étudier comme un authentique philosophe. Le néokantisme de Vaihinger se manifeste notamment dans sa critique de la hiérarchie établie par Nietzsche... (shrink)

Felix Kaufmanns Wissenschaftstheorie Hans-Georg Zilian. X KAUFMANN, DIE ÖKONOMEN UND DAS A PRIORI Bei den österreichischen Grenznutzentheoretikern, mit deren Arbeiten sich Kaufmann vor allem auseinandersetzte, ist von ...

A guide to the early oral literature of India covers the Upanishads and the Bhagavad Gita, and discusses the concepts of non-duality and creative power.

Nähere Informationen zu diesem Buch erhalten Sie direkt vom Verlag / For further information about this title please contact Mohr Siebeck.

Normative arrow update logic (NAUL) is a logic that combines normative temporal logic (NTL) and arrow update logic (AUL). In NAUL, norms are interpreted as arrow updates on labeled transition systems with a CTL-like logic. We show that the satisfiability problem of NAUL is decidable with a tableau method and it is in EXPSPACE.

Introduces contemporary American philosophy of technology through six of its leading figures. The six American philosophers of technology whose work is profiled in this clear and concise introduction to the field—Albert Borgmann, Hubert Dreyfus, Andrew Feenberg, Donna Haraway, Don Ihde, and Langdon Winner—represent a new, empirical direction in the philosophical study of technology that has developed mainly in North America. In place of the grand philosophical schemes of the classical generation of European philosophers of technology, the contemporary American generation addresses (...) concrete technological practices and the co-evolution of technology and society in modern culture. Six Dutch philosophers associated with Twente University survey and critique the full scope and development of their American colleagues’ work, often illustrating shifts from earlier to more recent interests. Individual chapters focus on Borgmann’s engagement with technology and everyday life; Dreyfus’s work on the limits of artificial intelligence; Feenberg’s perspectives on the cultural and social possibilities opened by technologies; Haraway’s conception of the cyborg and its attendant blurring of boundaries; Ihde’s explorations of the place of technology in the lifeworld; and Winner’s fascination with the moral and political implications of modern technologies. American Philosophy of Technology offers an insightful and readable introduction to this new and distinctly American philosophical turn. Contributors are Hans Achterhuis, Philip Brey, René Munnik, Martijntje Smits, Pieter Tijmes, and Peter-Paul Verbeek. (shrink)

In this book Han Thomas Adriaenssen offers the first comparative exploration of the sceptical reception of representationalism in medieval and early modern philosophy. Descartes is traditionally credited with inaugurating a new kind of scepticism by saying that the direct objects of perception are images in the mind, not external objects, but Adriaenssen shows that as early as the thirteenth century, critics had already found similar problems in Aquinas's theory of representation. He charts the attempts of philosophers in both periods to (...) grapple with these problems, and shows how in order to address the challenges of scepticism and representation, modern philosophers in the wake of Descartes often breathed new life into old ideas, remoulding them in ways that we are just beginning to understand. His book will be valuable for historians interested in the medieval background to early modern thought, and to medievalists looking at continuity with the early modern period. -/- . (shrink)

This excellent collection contains 13 essays from Gadamer'sKleine Schriften,dealing with hermeneutical reflection, phenomenology, existential philosophy, and ...

Reprinted 1999 by The Lawbook Exchange, Ltd. LCCN 98-32334. ISBN 1-886363-74-9. Cloth. $95. * Reprint of the first edition.

Machines will attain human levels of intelligence by the year 2040, predicts robotics expert Hans Moravec. And by 2050, they will have far surpassed us. In this mind-bending new book, Hans Moravec takes the reader on a roller coaster ride packed with such startling predictions. He tells us, for instance, that in the not-too-distant future, an army of robots will displace workers, causing massive, unprecedented unemployment. But then, says Moravec, a period of very comfortable existence will follow, as humans benefit (...) from a fully automated economy. And eventually, as machines evolve far beyond humanity, robots will supplant us. But if Moravec predicts the end of the domination by human beings, his is not a bleak vision. Far from railing against a future in which machines rule the world, Moravec embraces it, taking the startling view that intelligent robots will actually be our evolutionary heirs. "Intelligent machines, which will grow from us, learn our skills, and share our goals and values, can be viewed as children of our minds." And since they are our children, we will want them to outdistance us. In fact, in a bid for immortality, many of our descendants will choose to transform into "ex humans," as they upload themselves into advanced computers. We will become our children and live forever. In his provocative new book, the highly anticipated follow-up to his bestselling volume Mind Children, Moravec charts the trajectory of robotics in breathtaking detail. A must read for artificial intelligence, technology, and computer enthusiasts, Moravec's freewheeling but informed speculations present a future far different than we ever dared imagine. (shrink)

History, Metaphors, and Fables collects the central writings by Hans Blumenberg and covers topics such as on the philosophy of language, metaphor theory, non-conceptuality, aesthetics, politics, and literary studies. This landmark volume demonstrates Blumenberg's intellectual breadth and gives an overview of his thematic and stylistic range over four decades. Blumenberg's early philosophy of technology becomes tangible, as does his critique of linguistic perfectibility and conceptual thought, his theory of history as successive concepts of reality", his anthropology, or his studies of (...) literature. History, Metaphors, Fables allows readers to discover a master thinker whose role in the German intellectual post-war scene can hardly be overestimated. (shrink)

although mostly known to specialists nowadays, Kenelm Digby was a remarkable figure on the intellectual scene of the early seventeenth century. He has been described as “one of the most influential natural philosophers” of his time,1 and corresponded with many of the great scholars of his days, including Descartes, and the French pioneer of atomism, Pierre Gassendi. In the later years of his life, Digby, alongside men like Robert Boyle, became one of the founding members of the Royal Society.2Digby authored (...) one major work of philosophy: the Two Treatises of 1644. This work consisted of a long First Treatise on bodies, and a shorter, Second Treatise on the human soul. In the First Treatise, Digby argued... (shrink)

A wide-ranging analysis of the economic world order and its ecological and theological dimensions, this unique and challenging work confronts us with the ...

The work of Thomas White represents a systematic attempt to combine the best of the new science of the seventeenth century with the best of Aristotelian tradition. This attempt earned him the criticism of Hobbes and the praise of Leibniz, but today, most of his attempts to navigate between traditions remain to be explored in detail. This paper does so for his ontology of accidents. It argues that his criticism of accidents in the category of location as entities over and (...) above substances was likely aimed at Francisco Suárez, and shows how White’s worries about the analysis of location were linked with his broader cosmological views. White rejects real qualities, but holds that the quantity of a substance is somehow distinct from its bearer. This reveals a common ground with some of his scholastic interlocutors, but lays bare a deep disagreement with thinkers like Descartes on the nature of matter. (shrink)