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)

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)

ZusammenfassungDie Mystik gilt im interreligiösen Dialog als diejenige Dimension von Religion, die gemäß dem Essentialismus den gemeinsamen Kern der Religionen darstellt. In Unterschied dazu vertritt der Kontextualismus die These, dass Mystik nur in spezifischen religiösen Kontexten entsteht und so seine unverwechselbare Eigenheit erhält. Saeed Zarrabi-Zadeh vergleicht in seiner Arbeit Meister Eckhart und Rumi methodisch so miteinander, dass er die jeweiligen Stärken des Essentialismus und des Kontextualismus nutzt und ihre Schwächen vermeidet. Auf der Grundlage dieses methodischen Neuansatzes und eines weitgefassten Mystikbegriffs, (...) der Ethik, Praxis, Spekulation und Dogmatik umfasst, kommt er zu neuen Differenzierungen im religionsphänomenologischen Vergleich und legt zugleich erhebliche Differenzen im theologischen Deutehorizont der jeweiligen Mystiker offen. Darüberhinaus arbeitet er mit seiner Interpretation der. (shrink)

ZUSAMMENFASSUNGEs werden aus der Theologiegeschichte vier Typen von Willensfreiheit erhoben: der Typus liberum arbitrium , der Typus des nominalistischen Willensbegriffs , der Typus des mystischen Willensbegriffs und der Typus der Rechtfertigungslehre. Die ersten drei Typen werden psychologisch interpretiert im Sinne der Ichentwicklung als präautonom, autonom und transautonom. Nach der Darstellung und Diskussion der gegenwärtigen neurowissenschaftlichen Debatte um die Willensfreiheit wird ein systemisch verstandener Personbegriff als Brückenkonzept vorgeschlagen.SUMMARYFour types of free will are identified from the history of theology: The type of (...) the liberum arbitrium, the type of nominalism, the type of mysticism and the type of justification. For the first three types a psychological interpretation in terms of pre-autonomy, autonomy, and trans-autonomy is offered, based on self-transcendence as a religious feature. Two basically opposing interpretations of the same empirical data favoring free will and favoring a non-free will are discussed and compared with the theological tradition. A new notion of the person, based on the system theory, is suggested as a bridging concept to link the theological and neuro-scientific ideas of free will. (shrink)

'The infinite! No other question has ever moved so profoundly the spirit of man; no other idea has so fruitfully stimulated his intellect; yet no other concept stands in greater need of clarification than that of the infinite.' David Hilbert (1862-1943). This interdisciplinary study of infinity explores the concept through the prism of mathematics and then offers more expansive investigations in areas beyond mathematical boundaries to reflect the broader, deeper implications of infinity for human intellectual thought. More than a dozen (...) world-renowned researchers in the fields of mathematics, physics, cosmology, philosophy, and theology offer a rich intellectual exchange among various current viewpoints, rather than a static picture of accepted views on infinity. The book starts with a historical examination of the transformation of infinity from a philosophical and theological study to one dominated by mathematics. It then offers technical discussions on the understanding of mathematical infinity. Following this, the book considers the perspectives of physics and cosmology: Can infinity be found in the real universe? Finally, the book returns to questions of philosophical and theological aspects of infinity"--Provided by publisher. (shrink)