Husserl And Realism In Logic And Mathematics

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Husserl and Realism in Logic and Mathematics

Author : Robert S. Tragesser
Publisher : Cambridge University Press
ISBN 13 : 9780521242974
Total Pages : 148 pages
Book Rating : 4.2/5 (429 download)

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Book Synopsis Husserl and Realism in Logic and Mathematics by : Robert S. Tragesser

Download or read book Husserl and Realism in Logic and Mathematics written by Robert S. Tragesser and published by Cambridge University Press. This book was released on 1984-02-16 with total page 148 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Phenomenology, Logic, and the Philosophy of Mathematics

Author : Richard L. Tieszen
Publisher : Cambridge University Press
ISBN 13 : 0521837820
Total Pages : 369 pages
Book Rating : 4.5/5 (218 download)

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Book Synopsis Phenomenology, Logic, and the Philosophy of Mathematics by : Richard L. Tieszen

Download or read book Phenomenology, Logic, and the Philosophy of Mathematics written by Richard L. Tieszen and published by Cambridge University Press. This book was released on 2005-06-06 with total page 369 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this 2005 book, logic, mathematical knowledge and objects are explored alongside reason and intuition in the exact sciences.

Phenomenology and Logic

Author : Robert S. Tragesser
Publisher :
ISBN 13 :
Total Pages : 152 pages
Book Rating : 4.:/5 (38 download)

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Book Synopsis Phenomenology and Logic by : Robert S. Tragesser

Download or read book Phenomenology and Logic written by Robert S. Tragesser and published by . This book was released on 1977 with total page 152 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Early Writings in the Philosophy of Logic and Mathematics

Author : Edmund Husserl
Publisher : Springer
ISBN 13 : 9789048142668
Total Pages : 0 pages
Book Rating : 4.1/5 (426 download)

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Book Synopsis Early Writings in the Philosophy of Logic and Mathematics by : Edmund Husserl

Download or read book Early Writings in the Philosophy of Logic and Mathematics written by Edmund Husserl and published by Springer. This book was released on 2011-02-04 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: The primary intent of this volume is to give the English reader access to all the philosophical texts published by Husserl between the appearance of his first book, Philosophie der Arithmetik, and that of his second book, Logische Untersuchungen- roughly, from 1890 through 1901. Along with these texts we have included a number of unpublished manuscripts from the same period and dealing with the same or closely related topics. A few of the texts here translated (the review of Pahigyi, the five "report" articles of 1903-1904, the "notes" in Lalande's Vocabulaire, and the brief discussion. article on Marty of 1910) obviously fall outside this time period, so far as their publication dates are concerned; but in content they seem clearly confined to it. The final piece translated, a set of personal notes that date from 1906 through 1908, provides insight into how Husserl experienced his early labors and their results, and into how he saw their relation to work before him: a phenomenological critique of reason in all of its forms. Thus the texts here translated - which obviously are to be read in conjunction with his first two books - cover the progression of Husserl's Problematik from the relatively narrow one of clarifying the epistemic structure of general arithmetic, to the all-encompassing one of establishing in principle, through phenomenological research, the line between legitimate and illegitimate claims to know or to be rational, regardless of the domain concerned.

Logic and Philosophy of Mathematics in the Early Husserl

Author : Stefania Centrone
Publisher : Springer Science & Business Media
ISBN 13 : 9048132479
Total Pages : 250 pages
Book Rating : 4.0/5 (481 download)

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Book Synopsis Logic and Philosophy of Mathematics in the Early Husserl by : Stefania Centrone

Download or read book Logic and Philosophy of Mathematics in the Early Husserl written by Stefania Centrone and published by Springer Science & Business Media. This book was released on 2010-05-06 with total page 250 pages. Available in PDF, EPUB and Kindle. Book excerpt: Logic and Philosophy of Mathematics in the Early Husserl focuses on the first ten years of Edmund Husserl’s work, from the publication of his Philosophy of Arithmetic (1891) to that of his Logical Investigations (1900/01), and aims to precisely locate his early work in the fields of logic, philosophy of logic and philosophy of mathematics. Unlike most phenomenologists, the author refrains from reading Husserl’s early work as a more or less immature sketch of claims consolidated only in his later phenomenology, and unlike the majority of historians of logic she emphasizes the systematic strength and the originality of Husserl’s logico-mathematical work. The book attempts to reconstruct the discussion between Husserl and those philosophers and mathematicians who contributed to new developments in logic, such as Leibniz, Bolzano, the logical algebraists (especially Boole and Schröder), Frege, and Hilbert and his school. It presents both a comprehensive critical examination of some of the major works produced by Husserl and his antagonists in the last decade of the 19th century and a formal reconstruction of many texts from Husserl’s Nachlaß that have not yet been the object of systematical scrutiny. This volume will be of particular interest to researchers working in the history, and in the philosophy, of logic and mathematics, and more generally, to analytical philosophers and phenomenologists with a background in standard logic.

Philosophy of Arithmetic

Author : Edmund Husserl
Publisher : Springer Science & Business Media
ISBN 13 : 9401000603
Total Pages : 558 pages
Book Rating : 4.4/5 (1 download)

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Book Synopsis Philosophy of Arithmetic by : Edmund Husserl

Download or read book Philosophy of Arithmetic written by Edmund Husserl and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 558 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume is a window on a period of rich and illuminating philosophical activity that has been rendered generally inaccessible by the supposed "revolution" attributed to "Analytic Philosophy" so-called. Careful exposition and critique is given to every serious alternative account of number and number relations available at the time.

Phenomenology and Mathematics

Author : Mirja Hartimo
Publisher : Springer Science & Business Media
ISBN 13 : 9048137292
Total Pages : 244 pages
Book Rating : 4.0/5 (481 download)

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Book Synopsis Phenomenology and Mathematics by : Mirja Hartimo

Download or read book Phenomenology and Mathematics written by Mirja Hartimo and published by Springer Science & Business Media. This book was released on 2010-03-11 with total page 244 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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?"

Formal and transcendental logic

Author : Edmund Husserl
Publisher : Springer
ISBN 13 : 9401749000
Total Pages : 359 pages
Book Rating : 4.4/5 (17 download)

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Book Synopsis Formal and transcendental logic by : Edmund Husserl

Download or read book Formal and transcendental logic written by Edmund Husserl and published by Springer. This book was released on 2013-06-29 with total page 359 pages. Available in PDF, EPUB and Kindle. Book excerpt: called in question, then naturally no fact, science, could be presupposed. Thus Plato was set on the path to the pure idea. Not gathered from the de facto sciences but formative of pure norms, his dialectic of pure ideas-as we say, his logic or his theory of science - was called on to make genuine 1 science possible now for the first time, to guide its practice. And precisely in fulfilling this vocation the Platonic dialectic actually helped create sciences in the pregnant sense, sciences that were consciously sustained by the idea of logical science and sought to actualize it so far as possible. Such were the strict mathematics and natural science whose further developments at higher stages are our modem sciences. But the original relationship between logic and science has undergone a remarkable reversal in modem times. The sciences made themselves independent. Without being able to satisfy completely the spirit of critical self-justification, they fashioned extremely differentiated methods, whose fruitfulness, it is true, was practically certain, but whose productivity was not clarified by ultimate insight. They fashioned these methods, not indeed with the everyday man's naivete, but still with a na!ivete of a higher level, which abandoned the appeal to the pure idea, the justifying of method by pure principles, according to ultimate a priori possibilities and necessities.

Essays on Husserl's Logic and Philosophy of Mathematics

Author : Stefania Centrone
Publisher : Springer
ISBN 13 : 9402411321
Total Pages : 541 pages
Book Rating : 4.4/5 (24 download)

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Book Synopsis Essays on Husserl's Logic and Philosophy of Mathematics by : Stefania Centrone

Download or read book Essays on Husserl's Logic and Philosophy of Mathematics written by Stefania Centrone and published by Springer. This book was released on 2017-09-07 with total page 541 pages. Available in PDF, EPUB and Kindle. Book excerpt: Essays on Husserl’s Logic and Philosophy of Mathematics sets out to fill up a lacuna in the present research on Husserl by presenting a precise account of Husserl’s work in the field of logic, of the philosophy of logic and of the philosophy of mathematics. The aim is to provide an in-depth reconstruction and analysis of the discussion between Husserl and his most important interlocutors, and to clarify pivotal ideas of Husserl’s by considering their reception and elaboration by some of his disciples and followers, such as Oskar Becker and Jacob Klein, as well as their influence on some of the most significant logicians and mathematicians of the past century, such as Luitzen E. J. Brouwer, Rudolf Carnap, Kurt Gödel and Hermann Weyl. Most of the papers consider Husserl and another scholar – e.g. Leibniz, Kant, Bolzano, Brentano, Cantor, Frege – and trace out and contextualize lines of influence, points of contact, and points of disagreement. Each essay is written by an expert of the field, and the volume includes contributions both from the analytical tradition and from the phenomenological one.

Nature’s Suit

Author : Lee Hardy
Publisher : Ohio University Press
ISBN 13 : 0821444700
Total Pages : 262 pages
Book Rating : 4.8/5 (214 download)

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Book Synopsis Nature’s Suit by : Lee Hardy

Download or read book Nature’s Suit written by Lee Hardy and published by Ohio University Press. This book was released on 2014-01-15 with total page 262 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

The Metaphysics of Logic

Author : Penelope Rush
Publisher : Cambridge University Press
ISBN 13 : 1107039649
Total Pages : 279 pages
Book Rating : 4.1/5 (7 download)

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Book Synopsis The Metaphysics of Logic by : Penelope Rush

Download or read book The Metaphysics of Logic written by Penelope Rush and published by Cambridge University Press. This book was released on 2014-10-16 with total page 279 pages. Available in PDF, EPUB and Kindle. Book excerpt: This wide-ranging collection of essays explores the nature of logic and the key issues and debates in the metaphysics of logic.

Mind, Meaning and Mathematics

Author : L. Haaparanta
Publisher : Springer Science & Business Media
ISBN 13 : 940158334X
Total Pages : 290 pages
Book Rating : 4.4/5 (15 download)

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Book Synopsis Mind, Meaning and Mathematics by : L. Haaparanta

Download or read book Mind, Meaning and Mathematics written by L. Haaparanta and published by Springer Science & Business Media. This book was released on 2013-03-09 with total page 290 pages. Available in PDF, EPUB and Kindle. Book excerpt: At the turn of the century, Gottlob Frege and Edmund Husserl both participated in the discussion concerning the foundations of logic and mathematics. Since the 1960s, comparisons have been made between Frege's semantic views and Husserl's theory of intentional acts. In quite recent years, new approaches to the two philosophers' views have appeared. This collection of articles opens with the first English translation of Dagfinn Føllesdal's early classic on Husserl and Frege of 1958. The book brings together a number of new contributions by well-known authors and gives a survey of recent developments in the field. It shows that Husserl's thought is coming to occupy a central role in the philosophy of logic and mathematics, as well as in the philosophy of mind and cognitive science. The work is primarily meant for philosophers, especially for those working on the problems of language, logic, mathematics, and mind. It can also be used as a textbook in advanced courses in philosophy.

The Origin of the Logic of Symbolic Mathematics

Author : Burt C. Hopkins
Publisher : Indiana University Press
ISBN 13 : 0253005272
Total Pages : 593 pages
Book Rating : 4.2/5 (53 download)

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Book Synopsis The Origin of the Logic of Symbolic Mathematics by : Burt C. Hopkins

Download or read book The Origin of the Logic of Symbolic Mathematics written by Burt C. Hopkins and published by Indiana University Press. This book was released on 2011-09-07 with total page 593 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Logic and General Theory of Science

Author : Edmund Husserl
Publisher : Springer Nature
ISBN 13 : 3030145298
Total Pages : 437 pages
Book Rating : 4.0/5 (31 download)

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Book Synopsis Logic and General Theory of Science by : Edmund Husserl

Download or read book Logic and General Theory of Science written by Edmund Husserl and published by Springer Nature. This book was released on 2019-10-01 with total page 437 pages. Available in PDF, EPUB and Kindle. Book excerpt: The stated subject of these lecture courses given by Husserlbetween 1910 and 1918is ‘reason, the word for the mental activities and accomplishments that govern knowledge, give it form and supply it with norms.’ They show their author still pursuing the course set out in the Logical Investigations up to the end of the second decade of the century and displaying utter consistency with stands that he began taking on meaning, analyticity, Platonism, manifolds, mathematics, psychologism, etc. in the 1890s. Thus, they undermine many idées reçues about the development of his thought. The centerpiece of this work is an exploration of the realm of meaning. Moreover, they add new dimensions to standard discussions by taking readers back to the place where phenomenology and analytic philosophy diverged. They show that Husserl tangled long and hard with the very ideas that went into the making of the latter and offer a wealth of interesting insights into sense and meaning, theory of judgment, complete and incomplete meanings, states of affairs, extensional logic, the relationship between logic and mathematics, functions and arguments, propositional functions, quantification, existential generalization, the word ‘all,’ number theory, sets, modality, deductive theory, ideas that are still under discussion today. Prepared for oral delivery in the classroom, they are refreshingly lively and spontaneous. They are clearer, more explicit, and readable than the books Husserl published during his lifetime.

Husserlian Intentionality and Non-Foundational Realism

Author : J.J. Drummond
Publisher : Springer Science & Business Media
ISBN 13 : 9780792306511
Total Pages : 322 pages
Book Rating : 4.3/5 (65 download)

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Book Synopsis Husserlian Intentionality and Non-Foundational Realism by : J.J. Drummond

Download or read book Husserlian Intentionality and Non-Foundational Realism written by J.J. Drummond and published by Springer Science & Business Media. This book was released on 1990-02-28 with total page 322 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Husserl and Mathematics

Author : Mirja Hartimo
Publisher : Cambridge University Press
ISBN 13 : 1108997562
Total Pages : 419 pages
Book Rating : 4.1/5 (89 download)

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Book Synopsis Husserl and Mathematics by : Mirja Hartimo

Download or read book Husserl and Mathematics written by Mirja Hartimo and published by Cambridge University Press. This book was released on 2021-08-05 with total page 419 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Husserlian Intentionality and Non-Foundational Realism

Author : J.J. Drummond
Publisher : Springer Science & Business Media
ISBN 13 : 9400919743
Total Pages : 302 pages
Book Rating : 4.4/5 (9 download)

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Book Synopsis Husserlian Intentionality and Non-Foundational Realism by : J.J. Drummond

Download or read book Husserlian Intentionality and Non-Foundational Realism written by J.J. Drummond and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 302 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.