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Was Sind Und Was Sollen Die Zahlen
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Book Synopsis Was Sind und was Sollen Die Zahlen? by : Richard Dedekind
Download or read book Was Sind und was Sollen Die Zahlen? written by Richard Dedekind and published by Cambridge University Press. This book was released on 2012-08-02 with total page 85 pages. Available in PDF, EPUB and Kindle. Book excerpt: This influential 1888 publication explained the real numbers, and their construction and properties, from first principles.
Book Synopsis Was sind und was sollen die Zahlen?. Stetigkeit und Irrationale Zahlen by : Richard Dedekind
Download or read book Was sind und was sollen die Zahlen?. Stetigkeit und Irrationale Zahlen written by Richard Dedekind and published by Springer-Verlag. This book was released on 2013-11-27 with total page 85 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Was sind und was sollen die Zahlen? by : Richard Dedekind
Download or read book Was sind und was sollen die Zahlen? written by Richard Dedekind and published by . This book was released on 1893 with total page 90 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Was sind und was sollen die Zahlen? by : Richard Dedekind
Download or read book Was sind und was sollen die Zahlen? written by Richard Dedekind and published by . This book was released on 1967 with total page 69 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Leibniz's Science of the Rational by : Emily Grosholz
Download or read book Leibniz's Science of the Rational written by Emily Grosholz and published by Franz Steiner Verlag. This book was released on 1998 with total page 118 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book explicates Leibnizian analysis as a search for conditions of intelligibility, and reconsiders his use of principles and methods as well as his account of truth in this way. Via careful reading of well-known, lesser known, and previously unedited texts, it gives a more accurate picture of his philosophical intentions, as well as the relevance of his project to contemporary debate. Two case studies are included, one concerning logic and the other arithmetic; they illustrate a theory of intelligibility that takes as its central notion "possibility for thought", a notion which allows Leibniz to escape certain traps of psychologism, the pseudo-ontology of empiricism, and the empty forms of logicism, and suggests new approaches for contemporary philosophy. "In this remarkable study, Grosholz and Yakira offer a fresh interpretive and conceptual angle on Leibniz's metaphysics. [...] this study deserves high marks for its subtlety, novelty, and creative insight into Leibniz's modes of inquiry as well as for its philosophical acumen." Annals of Science
Book Synopsis Was sind und was sollen die Zahlen? by : Richard Dedekind
Download or read book Was sind und was sollen die Zahlen? written by Richard Dedekind and published by . This book was released on 1965 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Hilbert's Programs and Beyond by : Wilfried Sieg
Download or read book Hilbert's Programs and Beyond written by Wilfried Sieg and published by Oxford University Press. This book was released on 2013-03-07 with total page 452 pages. Available in PDF, EPUB and Kindle. Book excerpt: David Hilbert was one of the great mathematicians who expounded the centrality of their subject in human thought. In this collection of essays, Wilfried Sieg frames Hilbert's foundational work, from 1890 to 1939, in a comprehensive way and integrates it with modern proof theoretic investigations.
Book Synopsis Frege in Perspective by : Joan Weiner
Download or read book Frege in Perspective written by Joan Weiner and published by Cornell University Press. This book was released on 2008 with total page 336 pages. Available in PDF, EPUB and Kindle. Book excerpt: Not only can the influence of Gottlob Frege (1848-1925) be found in contemporary work in logic, the philosophy of mathematics, and the philosophy of language, but his projects--and the very terminology he employed in pursuing those projects--are still current in contemporary philosophy. This is undoubtedly why it seems so reasonable to assume that we can read Frege' s writings as if he were one of us, speaking to our philosophical concerns in our language. In Joan Weiner's view, however, Frege's words can be accurately interpreted only if we set that assumption aside. Weiner here offers a challenging new approach to the philosophy of this central figure in analytic philosophy. Weiner finds in Frege's corpus, from Begriffsschrift (1879) on, a unified project of remarkable ambition to which each of the writings in that corpus makes a distinct contribution--a project whose motivation she brings to life through a careful reading of his Foundations of Arithmetic. The Frege that Weiner brings into clear view is very different from the familiar figure. Far from having originated one of the standard positions on the nature of reference, Frege turns out not to have had positive doctrines on anything like what contemporary philosophers mean by "reference." Far from having served as a standard-bearer for those who take the realists' side of contemporary disputes with anti-realists, Frege turns out to have had no stake in either side of the controversy. Through Weiner's lens, Frege emerges as a thinker who has principled reasons for challenging the very assumptions and motivations that animate philosophers to dispute these doctrines. This lucidly written and accessible book will generate controversy among all readers with an interest in epistemology, philosophy of language, history of philosophy, and the philosophy of mathematics.
Book Synopsis Handbook of the History and Philosophy of Mathematical Practice by : Bharath Sriraman
Download or read book Handbook of the History and Philosophy of Mathematical Practice written by Bharath Sriraman and published by Springer Nature. This book was released on with total page 3221 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis The History of Continua by : Stewart Shapiro
Download or read book The History of Continua written by Stewart Shapiro and published by Oxford University Press. This book was released on 2020-12-01 with total page 320 pages. Available in PDF, EPUB and Kindle. Book excerpt: Mathematical and philosophical thought about continuity has changed considerably over the ages. Aristotle insisted that continuous substances are not composed of points, and that they can only be divided into parts potentially. There is something viscous about the continuous. It is a unified whole. This is in stark contrast with the prevailing contemporary account, which takes a continuum to be composed of an uncountably infinite set of points. This vlume presents a collective study of key ideas and debates within this history. The opening chapters focus on the ancient world, covering the pre-Socratics, Plato, Aristotle, and Alexander. The treatment of the medieval period focuses on a (relatively) recently discovered manuscript, by Bradwardine, and its relation to medieval views before, during, and after Bradwardine's time. In the so-called early modern period, mathematicians developed the calculus and, with that, the rise of infinitesimal techniques, thus transforming the notion of continuity. The main figures treated here include Galileo, Cavalieri, Leibniz, and Kant. In the early party of the nineteenth century, Bolzano was one of the first important mathematicians and philosophers to insist that continua are composed of points, and he made a heroic attempt to come to grips with the underlying issues concerning the infinite. The two figures most responsible for the contemporary orthodoxy regarding continuity are Cantor and Dedekind. Each is treated in an article, investigating their precursors and influences in both mathematics and philosophy. A new chapter then provides a lucid analysis of the work of the mathematician Paul Du Bois-Reymond, to argue for a constructive account of continuity, in opposition to the dominant Dedekind-Cantor account. This leads to consideration of the contributions of Weyl, Brouwer, and Peirce, who once dubbed the notion of continuity "the master-key which . . . unlocks the arcana of philosophy". And we see that later in the twentieth century Whitehead presented a point-free, or gunky, account of continuity, showing how to recover points as a kind of "extensive abstraction". The final four chapters each focus on a more or less contemporary take on continuity that is outside the Dedekind-Cantor hegemony: a predicative approach, accounts that do not take continua to be composed of points, constructive approaches, and non-Archimedean accounts that make essential use of infinitesimals.
Book Synopsis Ernst Zermelo - Collected Works/Gesammelte Werke by : Ernst Zermelo
Download or read book Ernst Zermelo - Collected Works/Gesammelte Werke written by Ernst Zermelo and published by Springer Science & Business Media. This book was released on 2010-01-20 with total page 673 pages. Available in PDF, EPUB and Kindle. Book excerpt: Ernst Zermelo (1871-1953) is regarded as the founder of axiomatic set theory and best-known for the first formulation of the axiom of choice. However, his papers include also pioneering work in applied mathematics and mathematical physics. This edition of his collected papers will consist of two volumes. Besides providing a biography, the present Volume I covers set theory, the foundations of mathematics, and pure mathematics and is supplemented by selected items from his Nachlass and part of his translations of Homer's Odyssey. Volume II will contain his work in the calculus of variations, applied mathematics, and physics. The papers are each presented in their original language together with an English translation, the versions facing each other on opposite pages. Each paper or coherent group of papers is preceded by an introductory note provided by an acknowledged expert in the field which comments on the historical background, motivations, accomplishments, and influence.
Book Synopsis Was sind und was sollen die Zahlen?. - 11. Aufl. Stetigkeit und irrationale Zahlen. - 8. Aufl. Richard Dedekind by : Richard Dedekind
Download or read book Was sind und was sollen die Zahlen?. - 11. Aufl. Stetigkeit und irrationale Zahlen. - 8. Aufl. Richard Dedekind written by Richard Dedekind and published by . This book was released on 1967 with total page 69 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Richard Dedekind by : Stefan Müller-Stach
Download or read book Richard Dedekind written by Stefan Müller-Stach and published by . This book was released on 2023 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis The Theory of Functions of a Real Variable and the Theory of Fourier's Series by : Ernest William Hobson
Download or read book The Theory of Functions of a Real Variable and the Theory of Fourier's Series written by Ernest William Hobson and published by . This book was released on 1921 with total page 700 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis The Mathematical Imagination by : Matthew Handelman
Download or read book The Mathematical Imagination written by Matthew Handelman and published by Fordham Univ Press. This book was released on 2019-03-05 with total page 225 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book offers an archeology of the undeveloped potential of mathematics for critical theory. As Max Horkheimer and Theodor W. Adorno first conceived of the critical project in the 1930s, critical theory steadfastly opposed the mathematization of thought. Mathematics flattened thought into a dangerous positivism that led reason to the barbarism of World War II. The Mathematical Imagination challenges this narrative, showing how for other German-Jewish thinkers, such as Gershom Scholem, Franz Rosenzweig, and Siegfried Kracauer, mathematics offered metaphors to negotiate the crises of modernity during the Weimar Republic. Influential theories of poetry, messianism, and cultural critique, Handelman shows, borrowed from the philosophy of mathematics, infinitesimal calculus, and geometry in order to refashion cultural and aesthetic discourse. Drawn to the austerity and muteness of mathematics, these friends and forerunners of the Frankfurt School found in mathematical approaches to negativity strategies to capture the marginalized experiences and perspectives of Jews in Germany. Their vocabulary, in which theory could be both mathematical and critical, is missing from the intellectual history of critical theory, whether in the work of second generation critical theorists such as Jürgen Habermas or in contemporary critiques of technology. The Mathematical Imagination shows how Scholem, Rosenzweig, and Kracauer’s engagement with mathematics uncovers a more capacious vision of the critical project, one with tools that can help us intervene in our digital and increasingly mathematical present. The Mathematical Imagination is available from the publisher on an open-access basis.
Author :Kurt-Gödel-Gesellschaft Publisher :Springer Science & Business Media ISBN 13 :370919394X Total Pages :128 pages Book Rating :4.7/5 (91 download)
Book Synopsis Collegium Logicum by : Kurt-Gödel-Gesellschaft
Download or read book Collegium Logicum written by Kurt-Gödel-Gesellschaft and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 128 pages. Available in PDF, EPUB and Kindle. Book excerpt: Contents: P. Vihan: The Last Month of Gerhard Gentzen in Prague. - F.A. Rodríguez-Consuegra: Some Issues on Gödel’s Unpublished Philosophical Manuscripts. - D.D. Spalt: Vollständigkeit als Ziel historischer Explikation. Eine Fallstudie. - E. Engeler: Existenz und Negation in Mathematik und Logik. - W.J. Gutjahr: Paradoxien der Prognose und der Evaluation: Eine fixpunkttheoretische Analyse. - R. Hähnle: Automated Deduction and Integer Programming. - M. Baaz, A. Leitsch: Methods of Functional Extension.
Book Synopsis From Peirce to Skolem by : Geraldine Brady
Download or read book From Peirce to Skolem written by Geraldine Brady and published by Elsevier. This book was released on 2000-11-22 with total page 481 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is an account of the important influence on the development of mathematical logic of Charles S. Peirce and his student O.H. Mitchell, through the work of Ernst Schröder, Leopold Löwenheim, and Thoralf Skolem. As far as we know, this book is the first work delineating this line of influence on modern mathematical logic.
