Husserl And Realism In Logic And Mathematics
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Husserl And Realism In Logic And Mathematics
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Author : Robert S. Tragesser
language : en
Publisher: Cambridge University Press
Release Date : 1984-02-16
Husserl And Realism In Logic And Mathematics written by Robert S. Tragesser and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1984-02-16 with Philosophy categories.
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 And Logic
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Author : Robert S. Tragesser
language : en
Publisher:
Release Date : 1977
Phenomenology And Logic written by Robert S. Tragesser and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1977 with Philosophy categories.
Philosophy Of Arithmetic
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Author : Edmund Husserl
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
Philosophy Of Arithmetic written by Edmund Husserl and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Mathematics categories.
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.
Mind Meaning And Mathematics
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Author : L. Haaparanta
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-03-09
Mind Meaning And Mathematics written by L. Haaparanta and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-03-09 with Philosophy categories.
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.
Early Writings In The Philosophy Of Logic And Mathematics
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Author : Edmund Husserl
language : en
Publisher: Springer
Release Date : 2011-02-04
Early Writings In The Philosophy Of Logic And Mathematics written by Edmund Husserl and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-02-04 with Philosophy categories.
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.
Formal And Transcendental Logic
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Author : Edmund Husserl
language : en
Publisher: Springer
Release Date : 2013-06-29
Formal And Transcendental Logic written by Edmund Husserl and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-06-29 with Philosophy categories.
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.
Phenomenology Logic And The Philosophy Of Mathematics
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Author : Richard L. Tieszen
language : en
Publisher: Cambridge University Press
Release Date : 2005-06-06
Phenomenology Logic And The Philosophy Of Mathematics written by Richard L. Tieszen and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2005-06-06 with Mathematics categories.
In this 2005 book, logic, mathematical knowledge and objects are explored alongside reason and intuition in the exact sciences.
Phenomenology And Mathematics
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Author : Mirja Hartimo
language : en
Publisher: Springer Science & Business Media
Release Date : 2010-03-11
Phenomenology And Mathematics written by Mirja Hartimo and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010-03-11 with Philosophy categories.
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?"
Husserlian Intentionality And Non Foundational Realism
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Author : J.J. Drummond
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
Husserlian Intentionality And Non Foundational Realism written by J.J. Drummond and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Philosophy categories.
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.
Logic And General Theory Of Science
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Author : Edmund Husserl
language : en
Publisher: Springer Nature
Release Date : 2019-10-01
Logic And General Theory Of Science written by Edmund Husserl and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-10-01 with Philosophy categories.
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.