Die Grundlagen Der Arithmetik Unter Einfuhrung Formaler Zahlbegriffe

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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.

Psychologism

Author : Martin Kusch
Publisher : Routledge
ISBN 13 : 1134801114
Total Pages : 354 pages
Book Rating : 4.1/5 (348 download)

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Book Synopsis Psychologism by : Martin Kusch

Download or read book Psychologism written by Martin Kusch and published by Routledge. This book was released on 2005-06-23 with total page 354 pages. Available in PDF, EPUB and Kindle. Book excerpt: First published in 1995. When did psychology become a distinct discipline? What links the continental and analytic traditions in philosophy? Answers to both questions are found in this extraordinary account of the debate surrounding psychologism in Germany at the turn of the century. The trajectory of twentieth century philosophy has been largely determined by this anti-naturalist view which holds that empirical research is in principle different from philosophical inquiry, and can never make significant contributions to the latter's central issues. Martin Kusch explores the origins of psychologism through the work of two major figures in the history of twentieth century philosophy, Gottlob Frege and Edmund Husserl. His sociological and historical reconstruction shows how the power struggle between the experimental psychologists and pure philosophers influenced the thought of these two philosophers, shaping their agendas and determining the success of their arguments for a sharp separation of logic from psychology. A move that was crucial in the creation of the distinct discipline of psychology and was responsible for the anti-naturalism found in both the analytic and the phenomenological traditions in philosophy. Students and lecturers in philosophy, psychology, linguistics, cognitive science and history will find this study invaluable for understanding a key moment in the intellectual history of the twentieth century.

From Past to Future: Graßmann's Work in Context

Author : Hans-Joachim Petsche
Publisher : Birkhäuser
ISBN 13 : 9783034604048
Total Pages : 0 pages
Book Rating : 4.6/5 (4 download)

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Book Synopsis From Past to Future: Graßmann's Work in Context by : Hans-Joachim Petsche

Download or read book From Past to Future: Graßmann's Work in Context written by Hans-Joachim Petsche and published by Birkhäuser. This book was released on 2011-01-07 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: On the occasion of the 200th anniversary of the birth of Hermann Graßmann (1809-1877), an interdisciplinary conference was held in Potsdam, Germany, and in Graßmann's hometown Szczecin, Poland. The idea of the conference was to present a multi-faceted picture of Graßmann, and to uncover the complexity of the factors that were responsible for his creativity. The conference demonstrated not only the very influential reception of his work at the turn of the 20th century, but also the unexpected modernity of his ideas, and their continuing development in the 21st century. This book contains 37 papers presented at the conference. They investigate the significance of Graßmann's work for philosophical as well as for scientific and methodological questions, for comparative philology in general and for Indology in particular, for psychology, physiology, religious studies, musicology, didactics, and, last but not least, mathematics. In addition, the book contains numerous illustrations and English translations of original sources, which are published here for the first time. These include life histories of Graßmann (written by his son Justus) and of his brother Robert (written by Robert himself), as well as the paper "On the concept and extent of pure theory of number'' by Justus Graßmann (the father).

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?"

Mathematics and Its Applications

Author : Jairo José da Silva
Publisher : Springer
ISBN 13 : 3319630733
Total Pages : 274 pages
Book Rating : 4.3/5 (196 download)

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Book Synopsis Mathematics and Its Applications by : Jairo José da Silva

Download or read book Mathematics and Its Applications written by Jairo José da Silva and published by Springer. This book was released on 2017-08-22 with total page 274 pages. Available in PDF, EPUB and Kindle. Book excerpt: This monograph offers a fresh perspective on the applicability of mathematics in science. It explores what mathematics must be so that its applications to the empirical world do not constitute a mystery. In the process, readers are presented with a new version of mathematical structuralism. The author details a philosophy of mathematics in which the problem of its applicability, particularly in physics, in all its forms can be explained and justified. Chapters cover: mathematics as a formal science, mathematical ontology: what does it mean to exist, mathematical structures: what are they and how do we know them, how different layers of mathematical structuring relate to each other and to perceptual structures, and how to use mathematics to find out how the world is. The book simultaneously develops along two lines, both inspired and enlightened by Edmund Husserl’s phenomenological philosophy. One line leads to the establishment of a particular version of mathematical structuralism, free of “naturalist” and empiricist bias. The other leads to a logical-epistemological explanation and justification of the applicability of mathematics carried out within a unique structuralist perspective. This second line points to the “unreasonable” effectiveness of mathematics in physics as a means of representation, a tool, and a source of not always logically justified but useful and effective heuristic strategies.

Introduction to Logic and Theory of Knowledge

Author : Edmund Husserl
Publisher : Springer Science & Business Media
ISBN 13 : 1402067275
Total Pages : 500 pages
Book Rating : 4.4/5 (2 download)

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Book Synopsis Introduction to Logic and Theory of Knowledge by : Edmund Husserl

Download or read book Introduction to Logic and Theory of Knowledge written by Edmund Husserl and published by Springer Science & Business Media. This book was released on 2008-08-26 with total page 500 pages. Available in PDF, EPUB and Kindle. Book excerpt: Claire Ortiz Hill The publication of all but a small, unfound, part of the complete text of the lecture course on logic and theory of knowledge that Edmund Husserl gave at Göttingen during the winter semester of 1906/07 became a reality in 1984 with the publication of Einleitung in die Logik und Erkenntnistheorie, Vorlesungen 1906/07 edited by 1 Ullrich Melle. Published in that volume were also 27 appendices containing material selected to complement the content of the main text in significant ways. They provide valuable insight into the evolution of Husserl’s thought between the Logical Investigations and Ideas I and, therefore, into the origins of phenomenology. That text and all those appendices but one are translated and published in the present volume. Omitted are only the “Personal Notes” dated September 25, 1906, November 4, 1907, and March 6, 1908, which were translated by Dallas Willard and published in his translation of Husserl’s Early 2 Writings in the Philosophy of Logic and Mathematics. Introduction to Logic and Theory of Knowledge, Lectures 1906/07 provides valuable insight into the development of the ideas fun- mental to phenomenology. Besides shedding considerable light on the genesis of phenomenology, it sheds needed light on many other dimensions of Husserl’s thought that have puzzled and challenged scholars.

Philosophical Knowledge

Author : Christian Beyer
Publisher : Rodopi
ISBN 13 : 9042022345
Total Pages : 315 pages
Book Rating : 4.0/5 (42 download)

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Book Synopsis Philosophical Knowledge by : Christian Beyer

Download or read book Philosophical Knowledge written by Christian Beyer and published by Rodopi. This book was released on 2007 with total page 315 pages. Available in PDF, EPUB and Kindle. Book excerpt: Philosophical Intuitions: Their Target, Their Source, and Their Epistemic Status; Naturalism and Intuitions; Intuitions: Their Nature and Epistemic Efficacy; The Nature of Rational Intuitions and a Fresh Look at the Explanationist Objection; Philosophical Knowledge and Knowledge of Counterfactuals; The Possibility of Knowledge; Transcendental Arguments: a Plea for Modesty; A Priori Existence.

The Road Not Taken. on Husserl's Philosophy of Logic and Mathematics

Author : Claire Ortiz Hill
Publisher :
ISBN 13 : 9781848900998
Total Pages : 456 pages
Book Rating : 4.9/5 (9 download)

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Book Synopsis The Road Not Taken. on Husserl's Philosophy of Logic and Mathematics by : Claire Ortiz Hill

Download or read book The Road Not Taken. on Husserl's Philosophy of Logic and Mathematics written by Claire Ortiz Hill and published by . This book was released on 2013-04 with total page 456 pages. Available in PDF, EPUB and Kindle. Book excerpt: For different reasons, Husserl's original, thought-provoking ideas on the philosophy of logic and mathematics have been ignored, misunderstood, even despised, by analytic philosophers and phenomenologists alike, who have been content to barricade themselves behind walls of ideological prejudices. Yet, for several decades, Husserl was almost continuously in close professional and personal contact with those who created, reshaped and revolutionized 20th century philosophy of mathematics, logic, science and language in both the analytic and phenomenological schools, people whom those other makers of 20th century philosophy, Russell, Frege, Wittgenstein and their followers, rarely, if ever, met. Independently of them, Husserl offered alternatives to the well-trodden paths of logicism, nominalism, formalism and intuitionism. He presented a well-articulated, thoroughly argued case for logic as an objective science, but was not philosophically naive to the point of not seeing the role of subjectivity in shaping the sense of the reality facing objective science. Given the preeminent role that philosophy of logic and philosophy of mathematics have played in transforming the way philosophy has been done since Husserl's time, and given the depth of his insights and his obvious expertise in those fields, his ideas need to be integrated into present-day, mainstream philosophy. Here, philosopher Claire Ortiz Hill and mathematician-philosopher Jairo da Silva offer a wealth of interesting insights intended to subvert the many mistaken idees recues about the development of Husserl's thought and reestablish broken ties between it and philosophy now.

Idealization I

Author : Jerzy Brzeziński
Publisher : Rodopi
ISBN 13 : 9789051831535
Total Pages : 292 pages
Book Rating : 4.8/5 (315 download)

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Book Synopsis Idealization I by : Jerzy Brzeziński

Download or read book Idealization I written by Jerzy Brzeziński and published by Rodopi. This book was released on 1990 with total page 292 pages. Available in PDF, EPUB and Kindle. Book excerpt: