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Mathematics and Art
This is a cultural history of mathematics and art, from antiquity to the present. Mathematicians and artists have long been on a quest to understand the physical world they see before them and the abstract objects they know by thought alone. Taking readers on a tour of the practice of mathematics and the philosophical ideas that drive the discipline, Lynn Gamwell points out the important ways mathematical concepts have been expressed by artists. Sumptuous illustrations of artworks and cogent math diagrams are featured in Gamwell's comprehensive exploration. Gamwell begins by describing mathematics from antiquity to the Enlightenment, including Greek, Islamic, and Asian mathematics. Then focu...
Signifying and Understanding
This book introduces and provides commentary on a selection of published and unpublished works by Victoria Welby and exponents of the Signific Movement in the Netherlands. Beyond offering an important contribution to the reconstruction of a neglected phase in the history of ideas, it evidences the theoretical topicality of significs, in particular the focus on the relation of signs to value, meaning, and understanding, on verbal and nonverbal behavior, and on language and communication.
A History of the Apocalypse
Religion. For thousands of years this thing has dictated which people should live and which people should die, what shape our buildings should have or what colors our garments should contain, what food people should eat or what words people should speak. If religion is the opium of the masses, then beliefs about the end of the world are like overdoses. People touched by such beliefs no longer rely on a hidden, personal and intimate god, contemplated upon from the safe distance of the beating human heart. They live with the promise of divine intervention at a grand scale on the current coordinates of space and time. This can be an exceptional motivator and a game changer in terms of civil obedience, both at an individual and collective level. In the name of an immediate and palpable deity people can commit shocking cruelties. However, such belief can also account for some of the most exceptional social developments in human history.
The Humanistic Background of Science
Philipp Frank (1884–1966) was an influential philosopher of science, public intellectual, and Harvard educator whose last book, The Humanistic Background of Science, is finally available. Never published in his lifetime, this original manuscript has been edited and introduced to highlight Frank's remarkable but little-known insights about the nature of modern science—insights that rival those of Karl Popper and Frank's colleagues Thomas Kuhn and James Bryant Conant. As a leading exponent of logical empiricism and a member of the famous Vienna Circle, Frank intended his book to provide an accessible, engaging introduction to the philosophy of science and its cultural significance. The boo...
Islamicate Occult Sciences in Theory and Practice
Islamicate Occult Sciences in Theory and Practice brings together the latest research on Islamic occult sciences from a variety of disciplinary perspectives, namely intellectual history, manuscript studies and material culture. Its aim is not only to showcase the range of pioneering work that is currently being done in these areas, but also to provide a model for closer interaction amongst the disciplines constituting this burgeoning field of study. Furthermore, the book provides the rare opportunity to bridge the gap on an institutional level by bringing the academic and curatorial spheres into dialogue. Contributors include: Charles Burnett, Jean-Charles Coulon, Maryam Ekhtiar, Noah Gardiner, Christiane Gruber, Bink Hallum, Francesca Leoni, Matthew Melvin-Koushki, Michael Noble, Rachel Parikh, Liana Saif, Maria Subtelny, Farouk Yahya, and Travis Zadeh.
Mathematical Theologies
The writings of theologians Thierry of Chartres (d. 1157) and Nicholas of Cusa (d. 1464) represent a lost history of momentous encounters between Christianity and Pythagorean ideas before the Renaissance. Their robust Christian Neopythagoreanism reconceived the Trinity and the Incarnation within the framework of Greek number theory, challenging our contemporary assumptions about the relation of religion and modern science. David Albertson surveys the slow formation of theologies of the divine One from the Old Academy through ancient Neoplatonism into the Middle Ages. Against this backdrop, Thierry of Chartres's writings stand out as the first authentic retrieval of Neopythagoreanism within w...
Learning With Spheres
This book provides, for the very first time, a critical edition and an English translation (accompanied by critical notes and technical analyses) of the chapter on spheres (golādhyāya) from Nityānanda’s Sarvasiddhāntarāja, a Sanskrit astronomical text written in seventeenth-century Mughal India. Readers will learn how terrestrial and celestial phenomena were understood by early modern Sanskrit astronomers using spherical geometry. The technical discussions in this book, supported by the critically edited Sanskrit text and geometric diagrams, offer an opportunity for historians of the astral sciences to understand developments in astronomy in seventeenth-century Mughal India from a mor...
Devotional Portraiture and Spiritual Experience in Early Netherlandish Painting
In Devotional Portraiture and Spiritual Experience Ingrid Falque analyses the meditative functions of early Netherlandish paintings including devotional portraits, that is portraits of people kneeling in prayer. Such paintings have been mainly studied in the context of commemorative and social practices, but as Ingrid Falque shows, they also served as devotional instruments. By drawing parallels between the visual strategies of these paintings and texts of the major spiritual writers of the medieval Low Countries, she demonstrates that paintings with devotional portraits functioned as a visualisation of the spiritual process of the sitters. The book is accompanied by the first exhaustive catalogue of paintings with devotional portraits produced in the Low Countries between c. 1400 and 1550. This catalogue is available at no costs in e-format (HERE) and can also be purchased as a printed hardcover book (HERE).
The History of Continua
Mathematical and philosophical thought about continuity has changed considerably over the ages, from Aristotle's insistence that a continuum is a unified whole, to the dominant account today, that a continuum is composed of infinitely many points. This book explores the key ideas and debates concerning continuity over more than 2500 years.
Philosophical Approaches to the Foundations of Logic and Mathematics
Eleven papers collected in the volume Philosophical Approaches to the Foundations of Logic and Mathematics address various aspects of the “roots”, basic concepts and the nature of logic and mathematics. Taken together, these papers reveal how many serious philosophical problems lie at the foundations of logic and mathematics. The topics discussed in this volume include: transcending anti-foundationalism and two concurrent trends of "anthropological" and "practical" understanding of the foundations of mathematics, new approaches to mathematical realism, the “roots” of logic in a genetic perspective, the primacy of truth or satisfaction, and the “effectiveness” of mathematics in terms of categorical semantics.
