the star and the whole gian carlo rota on mathematics and phenomenology

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The Star And The Whole

Author : Fabrizio Palombi
ISBN : 9781439873526
Genre : Mathematics
File Size : 69. 42 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
ISBN : 0817647813
Genre : Mathematics
File Size : 21. 77 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.

Discrete Thoughts

Author : KAC
ISBN : 9781489966674
Genre : Mathematics
File Size : 36. 71 MB
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Italian Americans The History And Culture Of A People

Author : Eric Martone
ISBN : 9781610699952
Genre : History
File Size : 70. 96 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
ISBN : 9783319669113
Genre : Philosophy
File Size : 86. 38 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.

Mathematical Lives

Author : CLAUDIO BARTOCCI
ISBN : 3642136060
Genre : Mathematics
File Size : 60. 6 MB
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Steps forward in mathematics often reverberate in other scientific disciplines, and give rise to innovative conceptual developments or find surprising technological applications. This volume brings to the forefront some of the proponents of the mathematics of the twentieth century, who have put at our disposal new and powerful instruments for investigating the reality around us. The portraits present people who have impressive charisma and wide-ranging cultural interests, who are passionate about defending the importance of their own research, are sensitive to beauty, and attentive to the social and political problems of their times. What we have sought to document is mathematics’ central position in the culture of our day. Space has been made not only for the great mathematicians but also for literary texts, including contributions by two apparent interlopers, Robert Musil and Raymond Queneau, for whom mathematical concepts represented a valuable tool for resolving the struggle between ‘soul and precision.’

Mathematics And The Roots Of Postmodern Thought

Author : Vladimir Tasic
ISBN : 9780199881512
Genre : Mathematics
File Size : 40. 3 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.

Combinatorics And Graph Theory

Author : John Harris
ISBN : 9780387797113
Genre : Mathematics
File Size : 77. 73 MB
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These notes were first used in an introductory course team taught by the authors at Appalachian State University to advanced undergraduates and beginning graduates. The text was written with four pedagogical goals in mind: offer a variety of topics in one course, get to the main themes and tools as efficiently as possible, show the relationships between the different topics, and include recent results to convince students that mathematics is a living discipline.

The Philosophy Of Husserl

Author : Burt Hopkins
ISBN : 9781317494454
Genre : Philosophy
File Size : 34. 69 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.

The Trouble With Physics

Author : Lee Smolin
ISBN : 0547348487
Genre : Science
File Size : 21. 78 MB
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“A splendid, edifying report from the front lines of theorectical physics” (San Francisco Chronicle). In this illuminating book, renowned physicist Lee Smolin argues that fundamental physics—the search for the laws of nature—is losing its way. Ambitious ideas about extra dimensions, exotic particles, multiple universes, and strings have captured the public’s imagination—and the imagination of experts. But these ideas have not been tested experimentally, and some, like string theory, seem to offer no possibility of being tested. Even still, these speculations dominate the field, attracting the best talent and much of the funding, while creating a climate in which emerging physicists are often penalized for pursuing other avenues. The situation threatens to impede the very progress of science. With clarity, passion, and authority, Smolin offers an unblinking assessment of the troubles that face modern physics, and an encouraging view of where the search for the next big idea may lead. “The best book about contemporary science written for the layman that I have ever read.” —The Times (London)

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