Chords are not pure sets of tones or notes. They are mainly characterized by their matrices. A chord matrix is the pattern of all the lengths of intervals given without further context. Chords are well-structured invariants. They show their inner logical form. This opens up the possibility to develop a molecular logic of chords. Chords are our primitive, but, nevertheless, already interrelated expressions. The logical space of internal harmony is our well-known chromatic scale represented by an infinite line of integers. (...) Internal harmony is nothing more than the pure interrelatedness of two or more chords. We consider three cases: chords inferentially related to subchords, pairs of chords in the space of major–minor tonality and arbitrary chords as arguments of unary chord operators in relation to their outputs. One interesting result is that chord negation transforms any pure major chord into its pure minor chord and vice versa. Another one is the fact that the negation of chords with symmetric matrices does not change anything. A molecular logic of chords is mainly characterized by combining general rules for chord operators with the inner logical form of their arguments. (shrink)

The ideas of love and justice have received a lot of attention within theology, philosophy, psychology, sociology, and neuroscience in recent years. In theology, the theological virtues of faith, hope, and love have become a widely discussed topic again. In philosophy, psychology and neuroscience research into the emotions has led to a renewed interest in the many kinds and forms of love. And in moral philosophy, sociology, and political science questions of justice have been a central issue of debate for (...) decades. But many views are controversial, and important questions remain unanswered. In this volume the authors focus on issues that take the relations between the two topics into account. The contributions move from basic questions about the relationships between love and justice through specific, but central problems of a just practice of love to social and political issues of the practice of justice in today's society. Contributors:Richard Amesbury, Ingolf U. Dalferth, Trisha M. Famisaran, Thomas Jared Farmer, Everett Fullmer, Duncan Gale, Kirsten Gerdes, Deidre Green, Eric E. Hall, W. David Hall, Trevor W. Kimball, Ulrich H. J. Körtner, Richard Livingston, Thaddeus Metz, Anselm K. Min, Rob Overy-Brown, Raymond E. Perrier, Panu-Matti Pöykkö, Stephen J. Pope, T. Raja Rosenhagen, Jonathan Russell, Regina M. Schwarz, Roberto Sirvent, Justina M. Torrance, Nicholas Wolterstorff. (shrink)

To understand reality in terms of what is possible has methodological implications which a contemplative philosophy makes explicit. The goal is no longer to determine how things are or must be but rather to provide an overview of how they could be and the diversity with which they already appear. The function of philosophy is not the discovery of a single answer but rather a careful description of the diversity and the heterogeneity of possible answers in different contexts and practices. (...) This approach, inspired by Wittgenstein, was applied to the philosophy of religion by Dewi Z. Phillips in particular. This volume explores his contemplative philosophy of religion in an intense and lively discussion, showing how the description of religious faith and the access to its practice and language change unexpectedly and provocatively in this way of thinking. (shrink)

This book marks the inauguration of the Historia Logicae book series, which seeks to publish high-quality monographs, dissertations, textbooks, proceedings, and anthologies on the history of logic in either German or English. Serving as the inaugural volume in this series, the book explores the contemporary interpretation of logic across many centuries and cultures. The first section of the volume comprises a compilation of papers dedicated to ancient and medieval logic, examining prominent thinkers such as Plato, Aristotle, Seneca, Porphyry, Proclus, Boethius, (...) Buridan, and Kilwardby. The second section shifts focus towards early-modern and contemporary logics, including the works of Caramuel, Kant, Drobisch, Husserl, and Jaskowski. Topics of discussion encompass the relationship between mathematics and logic, natural deduction, intuitionism, graph theory, categorical judgments, theories of truth, modal logic, opposition relations, logic diagrams, definitions of formal logic, many-sorted logic, model theory, and paraconsistent logic. (shrink)

Abstract“Let us think of the intention to play chess”. On the Role of Chess Analogies in Wittgenstein’s Philosophy starting from 1929. Chess analogies represent a neglected topic in the studies on Wittgenstein. However, already a closer look at the Philosophical Investigations shows the great variety of contexts in which there are analogies to very different aspects of chess. An examination of the entire Nachlass illustrates Wittgenstein’s ongoing interest in chess which began in 1929 and lasted until his death in 1951. (...) The integration of a thorough analysis of the references to chess sheds new light on an adequate understanding of the transition from his early philosophy of the Tractatus logico-philosophicus to his later philosophy, especially in the years 1929 to 1931. In our language of analysis, chess is understood as a codex-based strategy game. In this context and in contrast to it, we consider selected instructive uses of chess analogies in Wittgenstein's Nachlass. By means of such analogies similarities as well as filigree or significant differences in the meanings of linguistic expressions can be very convincingly illustrated, misunderstandings can be removed and complete clarity can be attained. Starting from Wittgenstein's considerations, the method of finding and inventing chess analogies can be developed in perspective into a creative form of practice of linguistic-analytic philosophizing. (shrink)

Ontological commitments and other problems concerning existence arise in connection with various aspects of logical theories. The semantics of quantification theory is usually formulated in such a manner that theorems are all and only those formulae which come out true under all interpretations in all non-empty domains. There are several approaches to include the empty domain. Paradoxically this apparent semantic extension means surrendering several formulae which are valid and intuitively plausible.

The paper discusses the problem of self-sacrifice as posed by Derrida in Foi et Savior and by Schiller in the Theosophie des Julius. Whereas Derrida understands self-sacrifice as an act of violence against oneself in order not to subject others to violence, Schiller rightly insists that one must distinguish between egotistical and altruistic self-sacrifice. But even this doesn’t go far enough: Altruistic self-sacrifice is different from suffering death as the consequence of an entirely unselfish love. Whoever loses his life out (...) of love does not give it up for others, whether selfishly or unselfishly. He loves the other—to death. Such a death is not a (self-)sacrifice. It results from a passion of love, not an act of violence against oneself. (shrink)

Name der Zeitschrift: Kierkegaard Studies Yearbook Jahrgang: 2013 Heft: 1 Seiten: 159-180.

The authors of this volume rethink our usual understanding of the relationship between faith, belief and skepticism. For some, skeptical faith is an oxymoron and faith and skepticism are mutually exclusive states or attitudes. Others argue that there is no proper faith without skepticism about faith. Taking John Schellenberg's recent work on the possibility of a skeptical faith as a starting point, the authors respond to and in some cases seek to go further than Schellenberg. In a variety of ways, (...) the papers take up the following questions: How are we to construe the relationship between faith, belief, and skepticism if we seek to understand what is characteristic of a life of faith, or of unfaith? Is belief in God necessary for faith in God to be possible? Does one need to have sufficient reasons for believing something before one is rationally entitled to having faith in something? In short, what is the relationship between faith and belief, belief and understanding, understanding and experience, and experience and skepticism? (shrink)

The paper examines Kant’s idea of autonomy as well as his conception of radical evil against the background of the theological tradition relevant to him. It is shown that both of them can be understood as ethical secularizations of theological concepts—the freedom of God and the concept of original sin—and that in both cases the problems of the theological tradition reoccur.

Name der Zeitschrift: Kierkegaard Studies Yearbook Jahrgang: 20 Heft: 1 Seiten: 79-100.

How cool is the philosophy of religion? Content Type Journal Article Category Article Pages 3-19 DOI 10.1007/s11153-011-9330-5 Authors John Churchill, Phi Beta Kappa National Office, Washington, DC, USA Ingolf Dalferth, Institute of Hermeneutics and Philosophy of Religion, University of Zurich, Kirchgasse 9, 8001 Zurich, Switzerland Patrick Horn, Claremont Graduate Center, Claremont, CA, USA Jeffery Willetts, Leland School of Ministries, Richmond, VA, USA Journal International Journal for Philosophy of Religion Online ISSN 1572-8684 Print ISSN 0020-7047 Journal Volume Volume 71 Journal (...) Issue Volume 71, Number 1. (shrink)

Ingolf U. Dalferth studies the complexity of this procedure in three thought processes which deal with the central concepts in the Christian understanding of malum as privation (a lack of good), as evil-doing and as a lack of faith.

D. Z. Phillips is widely assumed to have held that Christian immortality has no reality outside of language. The author challenges that assumption, demonstrating that Phillips wished to show that contemporary analytic philosophy distorts the reality that immortality has for believers. While most philosophical accounts of Christian immortality depend upon terms that have little religious significance, Phillips offered accounts that stress the centrality of that significance. The author gives an account of the sort of philosophical attention that Phillips gave to (...) Christian immortality and demonstrates Phillips’ lament for both the lack of this sort of attention in contemporary philosophy as well as the loss of certain ways of living that exemplify a belief in eternal life with God. (shrink)