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Author: Robert S. Tragesser
Publisher: Cambridge University Press
ISBN: 9780521242974
Category : Philosophy
Languages : en
Pages : 148
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Book Description
Mathematics and logic present crucial cases in deciding whether the world is of our making or whether some form of realism is true. Edmund Husserl, who was initially a mathematician, discusses this general question extensively, but although his views influenced the Dutch intuitionists and were taken very seriously by Gödel, they have not been widely appreciated among analytical philosophers. In this book Robert Tragesser sets out to determine the conditions under which a realist ontology of mathematics and logic might be justified, taking as his starting point Husserl's treatment of these metaphysical problems. He does not aim primarily at an exposition of Husserl's phenomenology, although many of the central claims of phenomenology are clarified here. Rather he exploits its ideas and methods to show how they can contribute to answering Michael Dummet's question 'Realism or Anti-Realism?'. In doing so he makes a challenging and provocative contribution to the debate.
Author: Robert S. Tragesser
Publisher: Cambridge University Press
ISBN: 9780521242974
Category : Philosophy
Languages : en
Pages : 148
Get Book Here
Book Description
Mathematics and logic present crucial cases in deciding whether the world is of our making or whether some form of realism is true. Edmund Husserl, who was initially a mathematician, discusses this general question extensively, but although his views influenced the Dutch intuitionists and were taken very seriously by Gödel, they have not been widely appreciated among analytical philosophers. In this book Robert Tragesser sets out to determine the conditions under which a realist ontology of mathematics and logic might be justified, taking as his starting point Husserl's treatment of these metaphysical problems. He does not aim primarily at an exposition of Husserl's phenomenology, although many of the central claims of phenomenology are clarified here. Rather he exploits its ideas and methods to show how they can contribute to answering Michael Dummet's question 'Realism or Anti-Realism?'. In doing so he makes a challenging and provocative contribution to the debate.
Author: Richard L. Tieszen
Publisher: Cambridge University Press
ISBN: 0521837820
Category : Mathematics
Languages : en
Pages : 369
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Book Description
In this 2005 book, logic, mathematical knowledge and objects are explored alongside reason and intuition in the exact sciences.
Author: Lee Hardy
Publisher: Ohio University Press
ISBN: 0821444700
Category : Philosophy
Languages : en
Pages : 262
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Book Description
Edmund Husserl, founder of the phenomenological movement, is usually read as an idealist in his metaphysics and an instrumentalist in his philosophy of science. In Nature’s Suit, Lee Hardy argues that both views represent a serious misreading of Husserl’s texts. Drawing upon the full range of Husserl’s major published works together with material from Husserl’s unpublished manuscripts, Hardy develops a consistent interpretation of Husserl’s conception of logic as a theory of science, his phenomenological account of truth and rationality, his ontology of the physical thing and mathematical objectivity, his account of the process of idealization in the physical sciences, and his approach to the phenomenological clarification and critique of scientific knowledge. Offering a jargon-free explanation of the basic principles of Husserl’s phenomenology, Nature’s Suit provides an excellent introduction to the philosophy of Edmund Husserl as well as a focused examination of his potential contributions to the philosophy of science. While the majority of research on Husserl’s philosophy of the sciences focuses on the critique of science in his late work, The Crisis of European Sciences, Lee Hardy covers the entire breadth of Husserl’s reflections on science in a systematic fashion, contextualizing Husserl’s phenomenological critique to demonstrate that it is entirely compatible with the theoretical dimensions of contemporary science.
Author: Mirja Hartimo
Publisher: Springer Science & Business Media
ISBN: 9048137292
Category : Philosophy
Languages : en
Pages : 244
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Book Description
During Edmund Husserl’s lifetime, modern logic and mathematics rapidly developed toward their current outlook and Husserl’s writings can be fruitfully compared and contrasted with both 19th century figures (Boole, Schröder, Weierstrass) as well as the 20th century characters (Heyting, Zermelo, Gödel). Besides the more historical studies, the internal ones on Husserl alone and the external ones attempting to clarify his role in the more general context of the developing mathematics and logic, Husserl’s phenomenology offers also a systematically rich but little researched area of investigation. This volume aims to establish the starting point for the development, evaluation and appraisal of the phenomenology of mathematics. It gathers the contributions of the main scholars of this emerging field into one publication for the first time. Combining both historical and systematic studies from various angles, the volume charts answers to the question "What kind of philosophy of mathematics is phenomenology?"
Author: Burt C. Hopkins
Publisher: Indiana University Press
ISBN: 0253005272
Category : Philosophy
Languages : en
Pages : 593
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Book Description
Burt C. Hopkins presents the first in-depth study of the work of Edmund Husserl and Jacob Klein on the philosophical foundations of the logic of modern symbolic mathematics. Accounts of the philosophical origins of formalized concepts—especially mathematical concepts and the process of mathematical abstraction that generates them—have been paramount to the development of phenomenology. Both Husserl and Klein independently concluded that it is impossible to separate the historical origin of the thought that generates the basic concepts of mathematics from their philosophical meanings. Hopkins explores how Husserl and Klein arrived at their conclusion and its philosophical implications for the modern project of formalizing all knowledge.
Author: Penelope Rush
Publisher: Cambridge University Press
ISBN: 1107039649
Category : Mathematics
Languages : en
Pages : 279
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Book Description
This wide-ranging collection of essays explores the nature of logic and the key issues and debates in the metaphysics of logic.
Author: Mirja Hartimo
Publisher: Cambridge University Press
ISBN: 1108997562
Category : Philosophy
Languages : en
Pages : 427
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Book Description
Husserl and Mathematics explains the development of Husserl's phenomenological method in the context of his engagement in modern mathematics and its foundations. Drawing on his correspondence and other written sources, Mirja Hartimo details Husserl's knowledge of a wide range of perspectives on the foundations of mathematics, including those of Hilbert, Brouwer and Weyl, as well as his awareness of the new developments in the subject during the 1930s. Hartimo examines how Husserl's philosophical views responded to these changes, and offers a pluralistic and open-ended picture of Husserl's phenomenology of mathematics. Her study shows Husserl's phenomenology to be a method capable of both shedding light on and internally criticizing scientific practices and concepts.
Author: J.J. Drummond
Publisher: Springer Science & Business Media
ISBN: 9780792306511
Category : Philosophy
Languages : en
Pages : 322
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Book Description
The rift which has long divided the philosophical world into opposed schools-the "Continental" school owing its origins to the phenomenology of Husserl and the "analytic" school derived from Frege-is finally closing. But this closure is occurring in ways both different and in certain respects at odds with one another. On the one hand scholars are seeking to rediscover the concerns and positions common to both schools, positions from which we can continue fruitfully to address important philosophical issues. On the other hand successors to both traditions have developed criticisms of basic assumptions shared by the two schools. They have suggested that we must move not merely beyond the conflict between these two "modem" schools but beyond the kind of philosophy represented in the unity of the two schools and thereby move towards a new "postmodern" philosophical style. On the one hand, then and for example, Husserl scholarship has in recent years witnessed the development of an interpretation of Husserl which more closely aligns his phenomenology with the philosophical concerns of the "analytic" tradition. In certain respects, this should come as no surprise and is long overdue. It is true, after all, that the early Husserl occupied himself with many of the same philosophical issues as did Frege and the earliest thinkers of the analytic tradition. Examples include the concept of number, the nature of mathematical analysis, meaning and reference, truth, formalization, and the relationship between logic and mathematics.
Author: Richard Feist
Publisher: University of Ottawa Press
ISBN: 0776630261
Category : Philosophy
Languages : en
Pages : 241
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Book Description
Edmund Husserl (1859-1938) is one of the previous century's most important thinkers. Often regarded as the "Father of phenomenology," this collection of essays reveals that he is indeed much more than that. The breadth of Husserl's thought is considerable and much remains unexplored. An underlying theme of this volume is that Husserl is constantly returning to origins, revising his thought in the light of new knowledge offered by the sciences. Published in English.
Author: Paul M. Livingston
Publisher:
ISBN: 9780810135192
Category : Ontology
Languages : en
Pages : 257
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Book Description
In the Logic of Being: Realism, Truth, and Time, the influential philosopher Paul M. Livingston explores and illuminates truth, time, and their relationship by employing methods from both Continental and analytic philosophy.
