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18,633 result(s) for "Theory of Forms"
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Eigenfunctions of Transfer Operators and Automorphic Forms for Hecke Triangle Groups of Infinite Covolume
We develop cohomological interpretations for several types of automorphic forms for Hecke triangle groups of infinite covolume. We then use these interpretations to establish explicit isomorphisms between spaces of automorphic forms, cohomology spaces and spaces of eigenfunctions of transfer operators. These results show a deep relation between spectral entities of Hecke surfaces of infinite volume and the dynamics of their geodesic flows.
K$-Theory in Algebra, Analysis and Topology
This volume contains the proceedings of the ICM 2018 satellite school and workshop K-theory conference in Argentina. The school was held from July 16-20, 2018, in La Plata, Argentina, and the workshop was held from July 23-27, 2018, in Buenos Aires, Argentina. The volume showcases current developments in K-theory and related areas, including motives, homological algebra, index theory, operator algebras, and their applications and connections. Papers cover topics such as K-theory of group rings, Witt groups of real algebraic varieties, coarse homology theories, topological cyclic homology, negative K-groups of monoid algebras, Milnor K-theory and regulators, noncommutative motives, the classification of C^*-algebras via Kasparov's K-theory, the comparison between full and reduced C^*-crossed products, and a proof of Bott periodicity using almost commuting matrices.
The Aesthetics of Mimesis
Mimesis is one of the oldest, most fundamental concepts in Western aesthetics. This book offers a new, searching treatment of its long history at the center of theories of representational art: above all, in the highly influential writings of Plato and Aristotle, but also in later Greco-Roman philosophy and criticism, and subsequently in many areas of aesthetic controversy from the Renaissance to the twentieth century. Combining classical scholarship, philosophical analysis, and the history of ideas--and ranging across discussion of poetry, painting, and music--Stephen Halliwell shows with a wealth of detail how mimesis, at all stages of its evolution, has been a more complex, variable concept than its conventional translation of \"imitation\" can now convey. Far from providing a static model of artistic representation, mimesis has generated many different models of art, encompassing a spectrum of positions from realism to idealism. Under the influence of Platonist and Aristotelian paradigms, mimesis has been a crux of debate between proponents of what Halliwell calls \"world-reflecting\" and \"world-simulating\" theories of representation in both the visual and musico-poetic arts. This debate is about not only the fraught relationship between art and reality but also the psychology and ethics of how we experience and are affected by mimetic art. Moving expertly between ancient and modern traditions, Halliwell contends that the history of mimesis hinges on problems that continue to be of urgent concern for contemporary aesthetics.
A Shadow of Knowledge in Stem Cell Science
\"Theory of Forms\" implies that a genuine version of creatures exists beyond the shapes in this world. Stem cell technology has adopted developmental cues to mimic real life. However, the functionality of the lab-made cells is far from primary ones. Perhaps it is time to switch from analytical to systematic perspective in stem cell science. This may be the way to define new horizons based on the systematic perspective and convergence of science in stem cell biology, bridging the current gap between the shadows of real knowledge in current research and reality in future.
Birth of the symbol
Nearly all of us have studied poetry and been taught to look for the symbolic as well as literal meaning of the text. Is this the way the ancients saw poetry? InBirth of the Symbol, Peter Struck explores the ancient Greek literary critics and theorists who invented the idea of the poetic \"symbol.\" The book notes that Aristotle and his followers did not discuss the use of poetic symbolism. Rather, a different group of Greek thinkers--the allegorists--were the first to develop the notion. Struck extensively revisits the work of the great allegorists, which has been underappreciated. He links their interest in symbolism to the importance of divination and magic in ancient times, and he demonstrates how important symbolism became when they thought about religion and philosophy. \"They see the whole of great poetic language as deeply figurative,\" he writes, \"with the potential always, even in the most mundane details, to be freighted with hidden messages.\" Birth of the Symboloffers a new understanding of the role of poetry in the life of ideas in ancient Greece. Moreover, it demonstrates a connection between the way we understand poetry and the way it was understood by important thinkers in ancient times.
Logics of organization theory
Building theories of organizations is challenging: theories are partial and \"folk\" categories are fuzzy. The commonly used tools--first-order logic and its foundational set theory--are ill-suited for handling these complications. Here, three leading authorities rethink organization theory. Logics of Organization Theory sets forth and applies a new language for theory building based on a nonmonotonic logic and fuzzy set theory. In doing so, not only does it mark a major advance in organizational theory, but it also draws lessons for theory building elsewhere in the social sciences.
The origins of criticism
By \"literary criticism\" we usually mean a self-conscious act involving the technical and aesthetic appraisal, by individuals, of autonomous works of art. Aristotle and Plato come to mind. The word \"social\" does not. Yet, as this book shows, it should--if, that is, we wish to understand where literary criticism as we think of it today came from. Andrew Ford offers a new understanding of the development of criticism, demonstrating that its roots stretch back long before the sophists to public commentary on the performance of songs and poems in the preliterary era of ancient Greece. He pinpoints when and how, later in the Greek tradition than is usually assumed, poetry was studied as a discipline with its own principles and methods. The Origins of Criticism complements the usual, history-of-ideas approach to the topic precisely by treating criticism as a social as well as a theoretical activity. With unprecedented and penetrating detail, Ford considers varying scholarly interpretations of the key texts discussed. Examining Greek discussions of poetry from the late sixth century B.C. through the rise of poetics in the late fourth, he asks when we first can recognize anything like the modern notions of literature as imaginative writing and of literary criticism as a special knowledge of such writing.
Pursuits of wisdom
This is a major reinterpretation of ancient philosophy that recovers the long Greek and Roman tradition of philosophy as a complete way of life--and not simply an intellectual discipline. Distinguished philosopher John Cooper traces how, for many ancient thinkers, philosophy was not just to be studied or even used to solve particular practical problems. Rather, philosophy--not just ethics but even logic and physical theory--was literally to be lived. Yet there was great disagreement about how to live philosophically: philosophy was not one but many, mutually opposed, ways of life. Examining this tradition from its establishment by Socrates in the fifth century BCE through Plotinus in the third century CE and the eclipse of pagan philosophy by Christianity,Pursuits of Wisdomexamines six central philosophies of living--Socratic, Aristotelian, Stoic, Epicurean, Skeptic, and the Platonist life of late antiquity. The book describes the shared assumptions that allowed these thinkers to conceive of their philosophies as ways of life, as well as the distinctive ideas that led them to widely different conclusions about the best human life. Clearing up many common misperceptions and simplifications, Cooper explains in detail the Socratic devotion to philosophical discussion about human nature, human life, and human good; the Aristotelian focus on the true place of humans within the total system of the natural world; the Stoic commitment to dutifully accepting Zeus's plans; the Epicurean pursuit of pleasure through tranquil activities that exercise perception, thought, and feeling; the Skeptical eschewal of all critical reasoning in forming their beliefs; and, finally, the late Platonist emphasis on spiritual concerns and the eternal realm of Being. Pursuits of Wisdomis essential reading for anyone interested in understanding what the great philosophers of antiquity thought was the true purpose of philosophy--and of life.