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Author: Kurt Gödel
Publisher: Oxford University Press
ISBN: 9780198500735
Category : Biography & Autobiography
Languages : en
Pages : 692
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Book Description
Kurt Gödel was the most outstanding logician of the 20th century and a giant in the field. This book is part of a five volume set that makes available all of Gödel's writings. The first three volumes, already published, consist of the papers and essays of Gödel. The final two volumes of the set deal with Gödel's correspondence with his contemporary mathematicians, this fourth volume consists of material from correspondents from A-G.
Author: STEPHEN LUTTRELL
Publisher: Stephen Luttrell
ISBN:
Category : Science
Languages : en
Pages : 230
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Book Description
The motivation for the research that is described in these volumes is the wish to explain things in terms of their underlying causes, rather than merely being satisfied with phenomenological descriptions. When this reductionist approach is applied to information processing it allows the internal structure of information to be analysed, so information processing algorithms can then be derived from first principles. One of the simplest examples of this approach is the diagonalisation of a data covariance matrix – there are many variants of this basic approach, such as singular value decomposition – in which the assumed independent components of high-dimensional data are identified and extracted. The main limitation of this type of information analysis approach is that it is based on linear algebra applied globally to the data space, so it is unable to preserve information about any local data structure in the data space. For instance, if the data lives on a low-dimensional curved manifold embedded in the data space, then only the global properties of this manifold would be preserved by global linear algebra methods. In practice, data whose high-dimensional structure is non-trivial typically lives on a noisy version of a curved manifold, so techniques for analysing such data must automatically handle this type of structure. For instance, a blurred image of a point source is described by its underlying degrees of freedom – i.e. the position of the source – and as the source moves about it generates a curved manifold that lives in the high-dimensional space of pixel values of the sampled image. The basic problem is then to deduce the internal properties of this manifold by analysing examples of such images. A more challenging problem would be to extend this analysis to images that contain several overlapping blurred images of point sources, and so on. There is no limit to the complexity of the types of high-dimensional data that one might want to analyse. These methods then need to be automated so that they do not rely on human intervention, which would then allow them to be inserted as “components” into information processing networks. The purpose of the research that is described in these volumes is to develop principled information processing methods that can be used for such analysis. Self-organising information processing networks arise naturally in this context, in which ways of cutting up the original manifold into simpler pieces emerge automatically.
Author: Kurt Gödel
Publisher: Oxford University Press, USA
ISBN: 0195072553
Category : Mathematics
Languages : en
Pages : 558
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Book Description
"Anyone interested in the life and work of Kurt Gödel, or in the history of mathematical logic in this century, is indebted to all of the contributors to this volume for the care with which they have presented Gödel's work. They have succeeded in using their own expertise to elucidate both the nature and significance of what Gödel and, in turn, mathematical logic have accomplished." --Isis (on volume I). The third volume brings togetherGödels unpublished essays and lectures.
Author: Kurt Gödel
Publisher: Oxford University Press
ISBN: 9780198500735
Category : Biography & Autobiography
Languages : en
Pages : 692
Get Book Here
Book Description
Kurt Gödel was the most outstanding logician of the 20th century and a giant in the field. This book is part of a five volume set that makes available all of Gödel's writings. The first three volumes, already published, consist of the papers and essays of Gödel. The final two volumes of the set deal with Gödel's correspondence with his contemporary mathematicians, this fourth volume consists of material from correspondents from A-G.
Author: Karl Marx
Publisher:
ISBN:
Category : Business & Economics
Languages : en
Pages : 866
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Book Description
Vols. 35-37 contain volumes I, II, and III of Das Kapital. Vols. 36-37, 48-50 prepared jointly by Lawrence & Wishart Ltd., London, International Publishers, and Progress Publishing Group Corp., Moscow, in collaboration with the Russian Independent Institute of Social and National Problems. Vols. 38-41 published: Moscow : Progress Publishers. Includes bibliographies and indexes.
Author: STEPHEN LUTTRELL
Publisher: Stephen Luttrell
ISBN:
Category : Science
Languages : en
Pages : 508
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Book Description
The motivation for the research that is described in these volumes is the wish to explain things in terms of their underlying causes, rather than merely being satisfied with phenomenological descriptions. When this reductionist approach is applied to information processing it allows the internal structure of information to be analysed, so information processing algorithms can then be derived from first principles. One of the simplest examples of this approach is the diagonalisation of a data covariance matrix – there are many variants of this basic approach, such as singular value decomposition – in which the assumed independent components of high-dimensional data are identified and extracted. The main limitation of this type of information analysis approach is that it is based on linear algebra applied globally to the data space, so it is unable to preserve information about any local data structure in the data space. For instance, if the data lives on a low-dimensional curved manifold embedded in the data space, then only the global properties of this manifold would be preserved by global linear algebra methods. In practice, data whose high-dimensional structure is non-trivial typically lives on a noisy version of a curved manifold, so techniques for analysing such data must automatically handle this type of structure. For instance, a blurred image of a point source is described by its underlying degrees of freedom – i.e. the position of the source – and as the source moves about it generates a curved manifold that lives in the high-dimensional space of pixel values of the sampled image. The basic problem is then to deduce the internal properties of this manifold by analysing examples of such images. A more challenging problem would be to extend this analysis to images that contain several overlapping blurred images of point sources, and so on. There is no limit to the complexity of the types of high-dimensional data that one might want to analyse. These methods then need to be automated so that they do not rely on human intervention, which would then allow them to be inserted as “components” into information processing networks. The purpose of the research that is described in these volumes is to develop principled information processing methods that can be used for such analysis. Self-organising information processing networks arise naturally in this context, in which ways of cutting up the original manifold into simpler pieces emerge automatically.
Author: Gerard Manley Hopkins
Publisher: Oxford University Press
ISBN: 0199285454
Category : Literary Criticism
Languages : en
Pages : 393
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Book Description
The first of eight volumes of Hopkins's Collected Works to be published, Oxford Essays and Notes presents a remarkable cache of previously unpublished papers, including forty-five essays which Hopkins produced during his undergraduate career at Oxford (1863-1867), only seven of which were reproduced in the 1959 edition of Journals and Papers. Topics range from Platonic philosophy to theories of the imagination, from ancient history to then-contemporary politics andvoting rights. Also included are notes from a commonplace book, a remarkable 'dialogue' about aesthetics (featuring a fictionalized John Ruskin figure), and the lecture notes Hopkins prepared in the winter of 1868 while teaching at John Henry Newman's Oratory School in Birmingham-writings in which he explores, forthe first time, the theories of inscape and instress so central to his poetic practice. The edition is fully annotated and provides a detailed introduction that situates historically Hopkins's academic and creative efforts.The twelve notebooks represent Hopkins's intellectual and aesthetic development while studying with some of the greatest scholars of the era (Benjamin Jowett, Walter Pater, and T. H. Green), as well as the ethical and spiritual anxieties he wrestled with while deciding to convert to Catholicism (John Henry Newman received him into the Church in 1866). Hopkins never wrote to please his tutors or the university professors-he wrote vividly and searchingly in response to the challenges theypresented. Whether evaluating Aristotle's Nicomachean Ethics, the role of 'neutral' England in the American civil war, or the comparative merits of classical sculpture, his first instinct was always to frame the difficult questions involved and work towards a 'counter' argument.
Author: St. Louis Mercantile Library Association
Publisher:
ISBN:
Category : Subscription libraries
Languages : en
Pages : 830
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Book Description
Author: Brian Russell Graham
Publisher: University of Toronto Press
ISBN: 1442641606
Category : Philosophy
Languages : en
Pages : 161
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Book Description
For Frye, the history of ideas is characterized by sets of opposing views which result in repeated cyclical movements in that history. In this study, Brian Russell Graham argues that Frye's own thinking transcends the ordinary history of ideas and offers what might be thought of as a dialectical and `suprahistorical' alternative. As Graham points out, much of Frye's thought is focused on secular concerns, and, within that context, his dialectical and `suprahistorical' thinking is `post-partisan,' a feature which also signifies and explains Frye's appeal. Graham contends it is the thinking of William Blake, specifically his conceptions of innocence and experience, which provides the inspiration for Frye's dialectical thinking. Graham systematically addresses the main areas of Frye's work: Blake's poetry, secular literature, education and work, politics, and Scripture. In following each of these themes, The Necessary Unity of Opposites expertly clarifies Frye's dialectical thinking, while drawing attention to its structural connection to Blake, Frye's great preceptor.
Author: B.W. Powe
Publisher: University of Toronto Press
ISBN: 1442669985
Category : Literary Criticism
Languages : en
Pages : 367
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Book Description
Marshall McLuhan and Northrop Frye are two of Canada’s central cultural figures, colleagues and rivals whose careers unfolded in curious harmony even as their intellectual engagement was antagonistic. Poet, novelist, essayist and philosopher B.W. Powe, who studied with both of these formidable and influential intellectuals, presents an exploration of their lives and work in Marshall McLuhan and Northrop Frye: Apocalypse and Alchemy. Powe considers the existence of a unique visionary tradition of Canadian humanism and argues that McLuhan and Frye represent fraught but complementary approaches to the study of literature and to the broader engagement with culture. Examining their eloquent but often acid responses to each other, Powe exposes the scholarly controversies and personal conflicts that erupted between them, and notably the great commonalities in their writing and biographies. Using interviews, letters, notebooks, and their published texts, Powe offers a new alchemy of their thought, in which he combines the philosophical hallmarks of McLuhan’s “The medium is the message” and Frye’s “the great code.”
Author: Michael D. Barber
Publisher: Ohio University Press
ISBN: 0821419617
Category : History
Languages : en
Pages : 343
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Book Description
World-renowned analytic philosophers John McDowell and Robert Brandom, dubbed “Pittsburgh Neo-Hegelians,” recently engaged in an intriguing debate about perception. In The Intentional Spectrum and Intersubjectivity Michael D. Barber is the first to bring phenomenology to bear not just on the perspectives of McDowell or Brandom alone, but on their intersection. He argues that McDowell accounts better for the intelligibility of empirical content by defending holistically functioning, reflectively distinguishable sensory and intellectual intentional structures. He reconstructs dimensions implicit in the perception debate, favoring Brandom on knowledge’s intersubjective features that converge with the ethical characteristics of intersubjectivity Emmanuel Levinas illuminates. Phenomenology becomes the third partner in this debate between two analytic philosophers, critically mediating their discussion by unfolding the systematic interconnection among perception, intersubjectivity, metaphilosophy, and ethics.
