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| Author | : Robert S. Tragesser |
| Publisher | : Cambridge University Press |
| Total Pages | : 148 |
| Release | : 1984-02-16 |
| Genre | : Philosophy |
| ISBN | : 9780521242974 |
Download Husserl and Realism in Logic and Mathematics Book in PDF, ePub and Kindle
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 | : |
| Total Pages | : 152 |
| Release | : 1977 |
| Genre | : Philosophy |
| ISBN | : |
Download Phenomenology and Logic Book in PDF, ePub and Kindle
| Author | : Richard L. Tieszen |
| Publisher | : Cambridge University Press |
| Total Pages | : 369 |
| Release | : 2005-06-06 |
| Genre | : Mathematics |
| ISBN | : 0521837820 |
Download Phenomenology, Logic, and the Philosophy of Mathematics Book in PDF, ePub and Kindle
In this 2005 book, logic, mathematical knowledge and objects are explored alongside reason and intuition in the exact sciences.
| Author | : Stefania Centrone |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 250 |
| Release | : 2010-05-06 |
| Genre | : Philosophy |
| ISBN | : 9048132479 |
Download Logic and Philosophy of Mathematics in the Early Husserl Book in PDF, ePub and Kindle
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.
| Author | : Mirja Hartimo |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 244 |
| Release | : 2010-03-11 |
| Genre | : Philosophy |
| ISBN | : 9048137292 |
Download Phenomenology and Mathematics Book in PDF, ePub and Kindle
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 | : Edmund Husserl |
| Publisher | : Springer |
| Total Pages | : 0 |
| Release | : 2011-02-04 |
| Genre | : Philosophy |
| ISBN | : 9789048142668 |
Download Early Writings in the Philosophy of Logic and Mathematics Book in PDF, ePub and Kindle
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.
| Author | : Mirja Hartimo |
| Publisher | : Cambridge University Press |
| Total Pages | : 419 |
| Release | : 2021-08-05 |
| Genre | : Philosophy |
| ISBN | : 1108997562 |
Download Husserl and Mathematics Book in PDF, ePub and Kindle
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 | : Edmund Husserl |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 558 |
| Release | : 2012-12-06 |
| Genre | : Mathematics |
| ISBN | : 9401000603 |
Download Philosophy of Arithmetic Book in PDF, ePub and Kindle
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.
| Author | : L. Haaparanta |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 290 |
| Release | : 2013-03-09 |
| Genre | : Philosophy |
| ISBN | : 940158334X |
Download Mind, Meaning and Mathematics Book in PDF, ePub and Kindle
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.
| Author | : Edmund Husserl |
| Publisher | : Springer |
| Total Pages | : 359 |
| Release | : 2013-06-29 |
| Genre | : Philosophy |
| ISBN | : 9401749000 |
Download Formal and transcendental logic Book in PDF, ePub and Kindle
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.
