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The Star And The Whole

Author: Fabrizio Palombi
Publisher: CRC Press
ISBN: 1568815832
Size: 24.79 MB
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The Star and the Whole: Gian-Carlo Rota on Mathematics and Phenomenology, authored by Fabrizio Palombi, is the first book to study Rota’s philosophical reflection. Rota (1932–1999) was a leading figure in contemporary mathematics and an outstanding philosopher, inspired by phenomenology, who made fundamental contributions to combinatorial analysis, and trained several generations of mathematicians in his long career at the Massachusetts Institute of Technology (MIT) and the Los Alamos National Laboratory. The first chapter of the book reconstructs Rota’s cultural biography and examines his philosophical style, his criticisms of analytical philosophy, and his reflection on Heidegger’s thought. The second chapter presents a general picture of Rota’s re-elaboration of phenomenology examined in the light of the Husserlian notion of Fundierung. This chapter also illustrates how the star-shape becomes a powerful instrument for understanding the properties of Husserl’s mereology and the critique of objectivism. The third chapter is a theoretical reflection on the nature of mathematical entities, and the fourth examines the complex relation of mathematical research with technological applicability and scientific progress. The foreword of the text is written by Robert Sokolowski.

Indiscrete Thoughts

Author: Gian-Carlo Rota
Publisher: Springer Science & Business Media
ISBN: 9780817647810
Size: 70.15 MB
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Indiscrete Thoughts gives a glimpse into a world that has seldom been described - that of science and technology as seen through the eyes of a mathematician. The era covered by this book, 1950 to 1990, was surely one of the golden ages of science and of the American university. Cherished myths are debunked along the way as Gian-Carlo Rota takes pleasure in portraying, warts and all, some of the great scientific personalities of the period. Rota is not afraid of controversy. Some readers may even consider these essays indiscreet. This beautifully written book is destined to become an instant classic and the subject of debate for decades to come.

Italian Americans The History And Culture Of A People

Author: Eric Martone
Publisher: ABC-CLIO
ISBN: 1610699955
Size: 26.68 MB
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The entire Italian American experience—from America's earliest days through the present—is now available in a single volume. • Hundreds of annotated entries give brief histories of the people, places, and events associated with Italian American history • A-to-Z organization within five thematic sections facilitates ease of use • An extensive collection of primary documents illustrates the Italian American experience over the course of American history and helps meet Common Core standards • Sidebars and an array of illustrations bring the material to vivid life • Each entry includes cross-references to other entries as well as a list of suggested further readings

The Changing Faces Of Space

Author: Maria Teresa Catena
Publisher: Springer
ISBN: 3319669117
Size: 63.82 MB
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This book focuses on various concepts of space and their historical evolution. In particular, it examines the variations that have modified the notions of place, orientation, distance, vacuum, limit, bound and boundary, form and figure, continuity and contingence, in order to show how spatial characteristics are decisive in a range of contexts: in the determination and comprehension of exteriority; in individuation and identification; in defining the meaning of nature and of the natural sciences; in aesthetical formations and representations; in determining the relationship between experience, behavior and environment; and in the construction of mental and social subjectivity. Accordingly, the book offers a comprehensive review of concepts of space as formulated by Kant, Husserl, Heidegger, Einstein, Heisenberg, Penrose and Thorne, subsequently comparing them to notions developed more recently, in the current age, which Foucault dubbed the age of space. The book is divided into four distinct yet deeply interconnected parts, which explore the space of life, the space of experience, the space of science and the space of the arts.

Mathematics And The Roots Of Postmodern Thought

Author: Vladimir Tasic
Publisher: Oxford University Press
ISBN: 0199881510
Size: 67.18 MB
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This is a charming and insightful contribution to an understanding of the "Science Wars" between postmodernist humanism and science, driving toward a resolution of the mutual misunderstanding that has driven the controversy. It traces the root of postmodern theory to a debate on the foundations of mathematics early in the 20th century, then compares developments in mathematics to what took place in the arts and humanities, discussing issues as diverse as literary theory, arts, and artificial intelligence. This is a straightforward, easily understood presentation of what can be difficult theoretical concepts It demonstrates that a pattern of misreading mathematics can be seen both on the part of science and on the part of postmodern thinking. This is a humorous, playful yet deeply serious look at the intellectual foundations of mathematics for those in the humanities and the perfect critical introduction to the bases of modernism and postmodernism for those in the sciences.

Introduction To Phenomenology

Author: Robert Sokolowski
Publisher: Cambridge University Press
ISBN: 9780521667920
Size: 53.95 MB
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Introductory volume, presenting the major philosophical doctrines of phenomenology.

The Philosophy Of Husserl

Author: Burt Hopkins
Publisher: Routledge
ISBN: 1317494458
Size: 34.32 MB
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As the founder of phenomenology, Edmund Husserl has been hugely influential in the development of contemporary continental philosophy. In The Philosophy of Husserl, Burt Hopkins shows that the unity of Husserl’s philosophical enterprise is found in the investigation of the origins of cognition, being, meaning, and ultimately philosophy itself. Hopkins challenges the prevailing view that Husserl’s late turn to history is inconsistent with his earlier attempts to establish phenomenology as a pure science and also the view of Heidegger and Derrida, that the limits of transcendental phenomenology are historically driven by ancient Greek philosophy. Part 1 presents Plato’s written and unwritten theories of eidê and Aristotle’s criticism of both. Part 2 traces Husserl’s early investigations into the formation of mathematical and logical concepts and charts the critical necessity that leads from descriptive psychology to transcendentally pure phenomenology. Part 3 investigates the movement of Husserl’s phenomenology of transcendental consciousness to that of monadological intersubjectivity. Part 4 presents the final stage of the development of Husserl’s thought, which situates monadological intersubjectivity within the context of the historical a priori constitutive of all meaning. Part 5 exposes the unwarranted historical presuppositions that guide Heidegger’s fundamental ontological and Derrida’s deconstructive criticisms of Husserl’s transcendental phenomenology. The Philosophy of Husserl will be required reading for all students of phenomenology.

Ethnomethodology S Program

Author: Harold Garfinkel
Publisher: Rowman & Littlefield
ISBN: 9780742516427
Size: 23.62 MB
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Ethnomethodology's Program: Working out Durkheim's Aphorism emphasizes Garfinkel's insistence that his position focuses on fundamental sociological issues—and that interpretations of his position as indifferent to sociology have been misunderstandings. Durkheim's aphorism states that the concreteness of social facts is sociology's most fundamental phenomenon. Garfinkel argues that sociologists have, for a century or more, ignored this aphorism and treated social facts as theoretical, or conceptual, constructions. Garfinkel, in this new book, shows how and why sociology must restore Durkheim's aphorism, through an insistence on the concreteness of social facts that are produced by complex social practices enacted by participants in the social order.

Phenomenology And Mathematics

Author: Mirja Hartimo
Publisher: Springer Science & Business Media
ISBN: 9789048137299
Size: 46.62 MB
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During Edmund Husserl’s lifetime, modern logic and mathematics rapidly developed toward their current outlook and Husserl’s writings can be fruitfully compared and contrasted with both 19th century figures (Boole, Schröder, Weierstrass) as well as the 20th century characters (Heyting, Zermelo, Gödel). Besides the more historical studies, the internal ones on Husserl alone and the external ones attempting to clarify his role in the more general context of the developing mathematics and logic, Husserl’s phenomenology offers also a systematically rich but little researched area of investigation. This volume aims to establish the starting point for the development, evaluation and appraisal of the phenomenology of mathematics. It gathers the contributions of the main scholars of this emerging field into one publication for the first time. Combining both historical and systematic studies from various angles, the volume charts answers to the question "What kind of philosophy of mathematics is phenomenology?"