Wolfgang Welsch examines global aestheticization phenomena, probes the relationship of aesthetics and ethics, and considers the broad relevance of aesthetics for contemporary thinking. He argues that modes of thought familiar from the aesthetic realm comprise fundamental paradigms for understanding todayÆs reality. The implications for specific and everyday issues are demonstrated in studies of architecture, advertising, the Internet, and our perception of the life world. Surgically precise, innovative, and, above all, relevant, this book is an essential resource, providing the analysis (...) of contemporary culture with philosophical bite. Aesthetics is to transcend itself, address the whole realm of aethesis, and hence enable orientation in the contemporary condition. Undoing aesthetics means releasing it from old cultural binds and giving it new ties with the future. (shrink)

We argue that Wittgenstein’s philosophical perspective on Gödel’s most famous theorem is even more radical than has commonly been assumed. Wittgenstein shows in detail that there is no way that the Gödelian construct of a string of signs could be assigned a useful function within (ordinary) mathematics. — The focus is on Appendix III to Part I of Remarks on the Foundations of Mathematics. The present reading highlights the exceptional importance of this particular set of remarks and, more specifically, emphasises (...) its refined composition and rigorous internal structure. (shrink)

This book is about the interrelationship between nature, semiosis, metarepresentation and (self-)consciousness, and the role played by metarepresentation in ...

Millionenjahrhaus: Zur Konzeption des Raumes der Ewigkeit im konstellativen Königtum in Sprache, Architektur und Theologie. By Stefanie Schröder. Wiesbaden: Harrassowitz Verlag, 2010. Pp. 396, plates. €84.

The book demonstrates for the first time that transculturality – the mixed constitution of cultures – is by no means only a characteristic of the present, but has de facto determined the composition of cultures since time immemorial. This is demonstated using examples from the arts across all cultures and continents.

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)

Die „Grundlage der gesamten Wissenschaftslehre“ bleibt für den, der Fichte im philosophiegeschichtlichen Zusammenhang sehen will, der wichtigste Text; dies gilt auch dann noch, wenn die Akademie-Ausgabe abgeschlossen sein wird. Der Jenaer Fichte hat nicht nur auf seine Zeitgenossen am stärksten gewirkt, er war auch seinerseits damals noch am offensten für Einflüsse. Der vorliegende Kommentar – der erste, der den gesamten deutschen Text behandelt – bietet keine Paraphrase, keine Übersetzung in eine zeitgemäßere Sprache, keine „Darstellung“, die Fichtes Disposition durch eine eigene (...) ersetzt und damit – gewollt oder ungewollt – in Konkurrenz zum Original tritt. Er will vielmehr den Leser auf seinem dornigen Pfad Satz für Satz begleiten und bei keiner Schwierigkeit im Stich lassen. Die konkrete Erforschung literarischer Bezüge und Abhängigkeiten zeigt, wie sehr der „Selbstdenker“ Fichte – unbeschadet seiner Eigenständigkeit – nicht nur in der Philosophie, sondern im ganzen Geistesleben der Epoche verwurzelt ist. Durch die ausgiebigen, mit sprachlichen Erläuterungen versehenen Zitate entlegener Quellen ist der Kommentar zugleich eine Art Lesebuch. (shrink)

This article discusses the history of the concepts of potential infinity and actual infinity in the context of Christian theology, mathematical thinking and metaphysical reasoning. It shows that the structure of Ancient Greek rationality could not go beyond the concept of potential infinity, which is highlighted in Aristotle's metaphysics. The limitations of the metaphysical mind of ancient Greece were overcome through Christian theology and its concept of the infinite God, as formulated in Gregory of Nyssa's theology. That is how the (...) concept of actual infinity emerged. However, Gregory of Nyssa's understanding of human rationality went still further. He said that access to the infinity of God was to be found only in an asymptotic ascension, as expressed in apophatic theology, and this view endangered the rationality of theology. Deeply influenced by the apophatic tradition, Nicholas of Cusa avoided this danger by showing that infinity could be accessed by symbolic representation and asymptotic mathematical reasoning. Thus, he made an immense contribution in making infinity rationally accessible. This endeavor was finally realized by Georg Cantor. This rational accessibility revealed discernible structures of infinity, such as the continuum hypothesis, and the cardinal numbers. However, the probable logical inconsistency of Georg Cantor's all-encompassing Absolute Infinity points to an intuitive understanding of infinity that goes beyond its rational structures – as in apophatic theology. (shrink)

Nobel Laureate's brilliant early treatise on Einstein's theory consists of his original 1921 text plus retrospective comments 35 years later.

Many spiritual traditions employ certain mental techniques (meditation) which consist in inhibiting mental activity whilst nonetheless remaining fully conscious, which is supposed to lead to a realisation of one’s own true nature prior to habitual self-substantialisation. In this paper I propose that this practice can be understood as a special means of becoming aware of consciousness itself as such. To explain this claim I conduct some phenomenologically oriented considerations about the nature of consciousness qua presence and the problem of self-presence (...) of this presence. (shrink)

Hermann Grassmann is known to be the founder of modern vector and tensor calculus. Having as a theologian no formal education in mathematics at a university he got his basic ideas for this mathematical innovation at least to some extent from listening to Schleiermacher’s lectures on Dialectics and, together with his brother Robert, reading its publication in 1839. The paper shows how the idea of unity and various levels of reality first formulated in Schleiermacher’s talks about religion in 1799 were (...) transformed by him into a philosophical system in his dialectics and then were picked up by Grassmann and operationalized in his philosophical-mathematical treatise on the extension theory in 1844. (shrink)

Theories of the nature of time offered by anthropology, science, and religion are not only numerous but also very different. This groundbreaking book cuts through the confusion by introducing a provocative new tripolar model of time that integrates the human, natural, and religious dimensions of time into a single, harmonious whole. Wolfgang Achtner, Stefan Kunz, and Thomas Walter begin by exploring the structures of time in anthropological terms. They discuss time phenomenologically, showing how it can be experienced in three (...) distinct ways -- the mythic-cyclic, the rational-linear, and the mystic-holistic -- and they root these experiences in the findings of modern neuroscience and trace these three forms of the perception of time within various cultures of antiquity. The second part of the book looks at time as it has been described by some of sciences most profound theories, including classical mechanics, the special and general theories of relativity, quantum mechanics, thermodynamics, and chaos theory. The authors then bring religion into the equation by surveying how time is conceived in both the Hebrew Bible and the Christian New Testament. They distinguish time concepts in wisdom and apocalyptic literature from time concepts in prophetic literature, and they demonstrate the basic eschatological orientation of the Christian view of time. "Dimensions of Time culminates by tying together the various strands of the authors' multidisciplinary, tripolar model of time. Offering a fascinating application of their unique theory, Achtner, Kunz, and Walter show how the unhealthy acceleration of life in contemporary society needs to be balanced by a rediscovery ofthe mystical experience of time, leading to a greater, deeper sense of human fulfillment. (shrink)

This ground-breaking book brings together researchers from a wide range of disciplines to discuss the control and coordination of processes involved in perceptually guided actions. The research area of motor control has become an increasingly multidisciplinary undertaking. Understanding the acquisition and performance of voluntary movements in biological and artificial systems requires the integration of knowledge from a variety of disciplines from neurophysiology to biomechanics.

The geometro-stochastic quantization of a gauge theory based on the (4,1)-de Sitter group is presented. The theory contains an intrinsic elementary length parameter R of geometric origin taken to be of a size typical for hadron physics. Use is made of a soldered Hilbert bundle ℋ over curved spacetime carrying a phase space representation of SO(4, 1) with the Lorentz subgroup related to a vierbein formulation of gravitation. The typical fiber of ℋ is a resolution kernel Hilbert space ℋ $_{\bar (...) \eta }^{(\rho )} $ constructed in terms of generalized coherent states $\bar \eta $ ρ related to the principal series of unitary irreducible representations of SO(4, 1), namely de Sitter horospherical waves for spinless particles characterized by the parameter ρ. The framework is, finally, extended to a quantum field-theoretical formalism by using bundles with Fock space fibers constructed from ℋ $_{\bar \eta }^{(\rho )} $. (shrink)

The central thesis of the philosophy of Advaita Vedānta is the doctrine of the identity of brahman and ātman. Brahman is essentially sat, being as such in the sense of the dimension of existence in which all worldly goings-on take place. The ātman is conceived as the “seer,” i.e., as the pure subject qua the to-whom of any experiential givenness; and this subject, in turn, is understood not as some entity that performs the seeing but as nothing but the very (...) seeing itself, i.e., as consciousness in the sense of the abiding presence-realm in which permanently changing experiential contents come to givenness. The Advaitic thesis is that this presence-realm—the seeing that takes place “in us”—is ultimately nothing other than the universal being-dimension—brahman—itself, modified by the mental contents of an innerworldly individual. This paper attempts to vindicate this doctrine by a series of reflections on the nature of the I and of reality as such. It argues that Advaita Vedānta can be viewed as a version of cosmopsychism in its idealist version which does not view consciousness as one of the features of the cosmos as a whole, but as its exclusive intrinsic nature, i.e., as the very essence of being as such. (shrink)

I argue for the causal character of modeling in data-intensive science, contrary to widespread claims that big data is only concerned with the search for correlations. After discussing the concept of data-intensive science and introducing two examples as illustration, several algorithms are examined. It is shown how they are able to identify causal relevance on the basis of eliminative induction and a related difference-making account of causation. I then situate data-intensive modeling within a broader framework of an epistemology of scientific (...) knowledge. In particular, it is shown to lack a pronounced hierarchical, nested structure. The significance of the transition to such “horizontal” modeling is underlined by the concurrent emergence of novel inductive methodology in statistics such as non-parametric statistics. Data-intensive modeling is well equipped to deal with various aspects of causal complexity arising especially in the higher level and applied sciences. (shrink)