Математика
  • формат pdf
  • размер 172.46 КБ
  • добавлен 25 августа 2011 г.
Wagner Roy. Post-Structural Readings of a Logico - Mathematical Text
Publisher: MIT Press.
Perspectives on Science.
Volume 16, Number 2, Summer 2008.
E-ISSN: 1530-9274 Print ISSN: 1063-6145.
36 pages.
Subject Headings:
G?del, Kurt. Works.
Mathematics - Philosophy.
Logic, Symbolic and mathematical.
Abstract:
This paper will apply post-structural semiotic theories to study the texts of G?del's first incompleteness theorem. I will study the texts’ own articulations of concepts of ‘meaning’, analyze the mechanisms they use to sustain their senses of validity, and point out how the texts depend (without losing their mathematical rigor) on sustaining some shifts of meaning. I will demonstrate that the texts manifest semiotic effects, which we usually associate with poetry and everyday speech. I will conclude with an analysis of how the picture I paint relates to an ethics of mathematical production.
Похожие разделы
Смотрите также

Azzouni J. Metaphysical Myths, Mathematical Practice: The Ontology and Epistemology of the Exact Sciences

  • формат pdf
  • размер 2.18 МБ
  • добавлен 06 сентября 2011 г.
Cambridge University Press, 2008. - 264 pages. Jody Azzouni argues in this original and exciting study that mathematical knowledge really is a special kind of knowledge with its own special means of gathering evidence. He analyzes the linguistic pitfalls and misperceptions philosophers in this field are often prone to, and explores the misapplications of epistemic principles from the empirical sciences to the exact sciences. What emerges is a pi...

Chihara C.H. Constructibility and Mathematical Existence

  • формат pdf
  • размер 2.42 МБ
  • добавлен 26 апреля 2011 г.
Oxford University Press, 1991. - 304 pages. Chihara here develops a mathematical system in which there are no existence assertions but only assertions of the constructibility of certain sorts of things. He utilizes this system in the analysis of the nature of mathematics, and discusses many recent works in the philosophy of mathematics from the viewpoint of the constructibility theory developed. This innovative analysis will appeal to mathematic...

Diamond James - King David of the Sages: Rabbinic Rehabilitation or Ironic Parody?

  • формат pdf
  • размер 362.38 КБ
  • добавлен 25 августа 2011 г.
Publisher: Indiana University Press Project MUSE - scholarly journals online, © PROOFTEXTS?27?(2007):?373– 426 E-ISSN: 1086-3311 Print ISSN: 0272-9601 55 pages Subject Headings: Rabbinical literature - History and criticism. David, King of Israel - In rabbinical literature. Abstract: A common rabbinic strategy when dealing with the problem of biblical heroes, whose conduct neither shares the same ethical values nor the normative command st...

Gray J. Plato's Ghost: The Modernist Transformation of Mathematics

  • формат pdf
  • размер 3.2 МБ
  • добавлен 11 августа 2011 г.
Princeton University Press, 2008. - 526 Pages. Plato's Ghost is the first book to examine the development of mathematics from 1880 to 1920 as a modernist transformation similar to those in art, literature, and music. Jeremy Gray traces the growth of mathematical modernism from its roots in problem solving and theory to its interactions with physics, philosophy, theology, psychology, and ideas about real and artificial languages. He shows how ma...

Heller M., Woodin W.H. Infinity: New Research Frontiers

  • формат pdf
  • размер 1.9 МБ
  • добавлен 16 августа 2011 г.
Cambridge University Press, 2011. - 311 pages. The infinite! No other question has ever moved so profoundly the spirit of man; no other idea has so fruitfully stimulated his intellect; yet no other concept stands in greater need of clarification than that of the infinite. - David Hilbert This interdisciplinary study of infinity explores the concept through the prism of mathematics and then offers more expansive investigations in areas beyond ma...

Irvine A. (editor) Philosophy of Mathematics

  • формат pdf
  • размер 35.61 МБ
  • добавлен 10 апреля 2011 г.
North Holland, 2009. - 733 pages. One of the most striking features of mathematics is the fact that we are much more certain about the mathematical knowledge we have than about what mathematical knowledge is knowledge of. Are numbers, sets, functions and groups physical entities of some kind? Are they objectively existing objects in some non-physical, mathematical realm? Are they ideas that are present only in the mind? Or do mathematical truths...

Jammer M. The philosophy of quantum mechanics: The interpretations of quantum mechanics in historical perspective

  • формат pdf
  • размер 18.37 МБ
  • добавлен 13 июля 2011 г.
John Wiley & Sons, 1974. - 536 pp. Everyone who has studied quantum physics and is interested in its "philosophical foundations" has no doubt picked up this book, if not to study it in detail, certainly to at least briefly peruse its contents. It is the most widely cited of all books on the philosophy of quantum physics, and apart from discussing the issues most effectively, it also could be used as an introduction to graduate-level quantum p...

Lakatos Imre. Proofs and Refutations: The Logic of Mathematical Discovery

  • формат djvu
  • размер 1.78 МБ
  • добавлен 18 октября 2011 г.
Cambridge University Press, 1976. - 188 p. "Proofs and Refutations" is essential reading for all those interested in the methodology, the philosophy and the history of mathematics. Much of the book takes the form of a discussion between a teacher and his students. They propose various solutions to some mathematical problems and investigate the strengths and weaknesses of these solutions. Their discussion (which mirrors certain real development...

Papineau D. The philosophy of science

  • формат djvu
  • размер 2.62 МБ
  • добавлен 28 марта 2011 г.
Includes bibliographical references and index. 1. Science—Philosophy. 2. Realism. I. Title. II. Series. Q 175.P3375 1996 501—dc20 95-49209 ISBN 0-19-875164-8 ISBN 0-19-875165-6 Книга включает в себя следующие главы: The Natural Ontological Attitude by Arthur Fine NOA's Ark—Fine for Realism by Alan Musgrave Saving the Noumena by Lawrence Sklar To Save the Phenomena by Bos C. van Fraassen Is the Best Good Enough?by Peter Lipton A Confutat...

Sela Shlomo. Queries on astrology sent from southern France to Maimonides

  • формат pdf
  • размер 1.86 МБ
  • добавлен 25 августа 2011 г.
Publisher: Indiana University Press. Aleph -Historical Studies in Science and Judaism 4 (2004) pp.89-190. 111 pages. Subject Headings: Maimonides, Moses, 1135-1204. Ibn Ezra, Abraham ben Me?r, 1092-1167. Jewish astrology - France, Southern. Contents: critical edition of the Hebrew text, translation and commentary