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This is the third volume of the second edition of the now classic book “The Topos of Music”. The authors present gesture theory, including a gesture philosophy for music, the mathematics of gestures, concept architectures and software for musical gesture theory, the multiverse perspective which reveals the relationship between gesture theory and the string theory in theoretical physics, and applications of gesture theory to a number of musical themes, including counterpoint, modulation theory, free jazz, Hindustani music, and vocal gestures.
This is the first volume of a collection of papers in honor of the fiftieth birthday of Jean-Yves Béziau. These 25 papers have been written by internationally distinguished logicians, mathematicians, computer scientists, linguists and philosophers, including Arnon Avron, John Corcoran, Wilfrid Hodges, Laurence Horn, Lloyd Humbertsone, Dale Jacquette, David Makinson, Stephen Read, and Jan Woleński. It is a state-of-the-art source of cutting-edge studies in the new interdisciplinary field of universal logic. The papers touch upon a wide range of topics including combination of logic, non-classical logic, square and other geometrical figures of opposition, categorical logic, set theory, foundation of logic, philosophy and history of logic (Aristotle, Avicenna, Buridan, Schröder, MacColl). This book offers new perspectives and challenges in the study of logic and will be of interest to all students and researchers interested the nature and future of logic.
This book constitutes the refereed proceedings of the 4th International Conference on Algebra and Coalgebra in Computer Science, CALCO 2011, held in Winchester, UK, in August/September 2011. The 21 full papers presented together with 4 invited talks were carefully reviewed and selected from 41 submissions. The papers report results of theoretical work on the mathematics of algebras and coalgebras, the way these results can support methods and techniques for software development, as well as experience with the transfer of the resulting technologies into industrial practice. They cover topics in the fields of abstract models and logics, specialized models and calculi, algebraic and coalgebraic semantics, and system specification and verification. The book also includes 6 papers from the CALCO-tools Workshop, colocated with CALCO 2011 and dedicated to tools based on algebraic and/or coalgebraic principles.
A Social History of Cuba’s Protestants: God and the Nation presents a religious and social history of Cuba, focusing on the Presbyterian and other Protestant churches, to show the continuity of ties between US and Cuban churches before and after the revolution in 1959. By examining the history of Cuba’s Protestants as agents of social change within Cuba and as partners with US denominations, James A. Baer offers a unique assessment of Cuba’s development as a nation and its relationship with the United States. Scholars of Latin American studies, religion, history, and social movements will find this book particularly useful.
Gilles Deleuze's engagements with mathematics, replete in his work, rely upon the construction of alternative lineages in the history of mathematics, which challenge some of the self imposed limits that regulate the canonical concepts of the discipline. For Deleuze, these challenges provide an opportunity to reconfigure particular philosophical problems - for example, the problem of individuation - and to develop new concepts in response to them. The highly original research presented in this book explores the mathematical construction of Deleuze's philosophy, as well as addressing the undervalued and often neglected question of the mathematical thinkers who influenced his work. In the wake ...
This volume explores the many different meanings of the notion of the axiomatic method, offering an insightful historical and philosophical discussion about how these notions changed over the millennia. The author, a well-known philosopher and historian of mathematics, first examines Euclid, who is considered the father of the axiomatic method, before moving onto Hilbert and Lawvere. He then presents a deep textual analysis of each writer and describes how their ideas are different and even how their ideas progressed over time. Next, the book explores category theory and details how it has revolutionized the notion of the axiomatic method. It considers the question of identity/equality in ma...
Introducing the representation theory of groups and finite dimensional algebras, first studying basic non-commutative ring theory, this book covers the necessary background on elementary homological algebra and representations of groups up to block theory. It further discusses vertices, defect groups, Green and Brauer correspondences and Clifford theory. Whenever possible the statements are presented in a general setting for more general algebras, such as symmetric finite dimensional algebras over a field. Then, abelian and derived categories are introduced in detail and are used to explain stable module categories, as well as derived categories and their main invariants and links between th...
Marguerite Long, the most important French female pianist of the 20th century, left her stamp on a whole epoch of musical life in Paris. The Pedagogical Writings of Marguerite Long presents English translations of the two major contributions of Marguerite Long to the literature of piano pedagogy. These translations of her pedagogical works, Le Piano and La Petite Méthode de piano, provide a window to the old French school of pianism as modernized by Long. Le Piano is a remarkable text offering piano playing techniques and pragmatic and philosophical musings and observations about life, musicians, careers, and more. La Petite Méthode de piano is a personal manifesto about how to introduce c...
The Desire of Psychoanalysis proposes that recognizing how certain theoretical and institutional problems in Lacanian psychoanalysis are grounded in the historical conditions of Lacan’s own thinking might allow us to overcome these impasses. In order to accomplish this, Gabriel Tupinambá analyzes the socioeconomic practices that underlie the current institutional existence of the Lacanian community—its political position as well as its institutional history—in relation to theoretical production. By focusing on the underlying dynamic that binds clinical practice, theoretical work, and institutional security in Lacanian psychoanalysis today, Tupinambá is able to locate sites for conceptual innovation that have been ignored by the discipline, such as the understanding of the role of money in clinical practice, the place of analysands in the transformation of psychoanalytic theory, and ideological dead-ends that have become common sense in the Lacanian field. The Desire of Psychoanalysis thus suggests ways of opening up psychoanalysis to new concepts and clinical practices and calls for a transformation of how psychoanalysis is understood as an institution.
The Proceedings describe the current state of research dealing with biological shape analysis. The quantitative analysis of the shape of biological organisms represents a challenge that has now seen breakthroughs with new methodologies such as elliptical Fourier analysis, quantitative trait loci analysis (QTLs), chromosome segment substitution lines (CSSLs), thin plate splines, etc. The Proceedings also illustrate the diversity of disciplines that are actively involved in the characterization and analysis of biological shape. Moreover, many of the papers focus on the relationship of the shape to the processes that determine the biological form, an issue of major continuing concern in biology.