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 : 9781568815831
Genre : Mathematics
File Size : 79. 24 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.

Italian Americans The History And Culture Of A People

Author : Eric Martone
ISBN : 9781610699952
Genre : History
File Size : 73. 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 : 75. 62 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.

Creation S Beauty As Revelation

Author : L. Clifton Edwards
ISBN : 9781620323687
Genre : Religion
File Size : 30. 91 MB
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With an interdisciplinary approach, Edwards utilizes literature, aesthetics, world religions, and continental philosophy as avenues into the theology of natural beauty. This is an epistemological look at our aesthetically charged knowing of God through nature. Emphasizing our embodied experience of the world, Edwards examines the phenomenon of perceptual beauty, while questioning traditional notions of God's metaphysical "beauty." Drawing upon Michael Polanyi's philosophy of science, Edwards explores the human aesthetic and religious interface with the natural world. This philosophical approach is then linked to the poetic: Polanyi's "tacit knowledge" and Jean-Luc Marion's "saturated phenomena" give support to Wordsworth's "pregnant vision" of the natural world. This approach culminates in a re-envisaging of John Ruskin's typology of natural beauty: Ruskin's vision of the world can be adapted toward an understanding of natural revelation. Edwards brings this Romantic theology back across the Atlantic in dialogue with American nature writers and the uniquely American experience of wilderness and "frontier."

Science Computers And People

Author : Stanislaw Marcin Ulam
ISBN : 376433276X
Genre : Computers
File Size : 69. 58 MB
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Lehrbuch Der Algebra

Author : Heinrich Weber
ISBN : 9780821832585
Genre : Mathematics
File Size : 40. 30 MB
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Weber's three-volume set on algebra was for many years the standard text on algebra. Published at the end of the nineteenth century, it helped usher group theory to a central place in twentieth century mathematics. Volume 1 covers foundational material. Volume 2 covers group theory and its applications, plus the theory of algebraic numbers. Volume 3 covers advanced topics, such as algebraic functions, elliptic functions and class field theory. Although notations have changed somewhat and algebra has become more abstract that it was in Weber's day, many of the same themes and ideas important today are central topics in Weber's book, which may be why it has become a classic.

Die Macht Der Symmetrie

Author : Ian Stewart
ISBN : 3642364357
Genre : Science
File Size : 20. 20 MB
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m dichten Morgennebel des 30. Mai 1832 stehen sich zwei junge franzö- sche Männer gegenüber, die Pistolen in der Hand. Sie duellieren sich wegen einer Frau. Es fällt ein Schuss, und einer der Männer liegt schwer verletzt am IBoden. Am nächsten Tag stirbt er an den Folgen seiner inneren Verletzungen. Kein Stein markiert das Grab des 20-Jährigen, und beinahe wäre eine der wi- tigsten Ideen in der Geschichte der Mathematik und der Naturwissenschaften mit ihm beerdigt worden. Der Name des Überlebenden bleibt unbekannt; der tragisch Getötete hieß Évariste Galois. In politischer Hinsicht war er ein Rebell, doch seine Leidenschaft war die Mathematik, auch wenn seine gesammelten Werke kaum sechzig Seiten umfassen. Galois hinterließ ein Erbe, das die Mathematik revolutionierte. Er e- wickelte eine Sprache zur Beschreibung von Symmetrien und ihrer Bedeutung in mathematischen Strukturen. Diese Sprache nennt man heute „Gruppentheorie“, und in allen Bereichen der reinen und angewandten Mathematik dient sie zur Charakterisierung von Mustern und Formen. Symmetrien spielen auch eine zentrale Rolle in den Gre- gebieten der Physik: der Quantenwelt im Kleinen und der Welt der Relativitä- theorie im Großen. Sie könnten sogar der Schlüssel zur lange gesuchten „Theorie von Allem“ sein, einer mathematischen Vereinigung dieser beiden Zweige der modernen Physik. Und alles begann mit einer einfachen Frage zur Lösung mat- matischer Gleichungen: Wie ?ndet man eine „unbekannte“ Zahl aus wenigen, allgemeinen mathematischen Vorgaben? Symmetrie ist keine Zahl und auch keine Form.

Grundprobleme Der Philosophie

Author : George Edward Moore
ISBN : 9783110323726
Genre : Philosophy
File Size : 20. 66 MB
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Der vorliegende Band ist die schriftliche Fassung einer Vorlesung, die Moore im Wintersemester 1910/11 an der Cambridge University als Einführung in die Philosophie gehalten hat und erst 1956, zwei Jahre vor seinem Tod, veröffentlicht wurde. Nach einer ausführlichen Erklärung dessen, was Philosophie überhaupt ist, was der Gegenstand und die Aufgabe der Philosophie ist, führt Moore im Ausgang von unseren sinnlichen Erfahrungen in das Gesamtgebiet der Philosophie ein. Behandelt werden Themen wie Existenz, materielle Dinge, Dinge in Raum und Zeit, Propositionen, Wissen und Erkennen, die Philosophie David Humes und weitere Themen. Der vorliegende Band ist sowohl für Philosophiestudenten und interessierte Laien zur Einführung in die Philosophie gut geeignet, als auch für den philosophischen Experten, der sich eingehender mit Moores Philosophie beschäftigen möchte.

Gef Ngnis Hefte

Author : Antonio Gramsci
ISBN : 3867541000
Genre :
File Size : 50. 47 MB
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Demometrie

Author : Wilhelm Winkler
ISBN :
Genre : Demography
File Size : 48. 64 MB
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