Logic And Philosophy Of Mathematics In The Early Husserl

Author : Stefania Centrone
Publisher : Springer Science & Business Media
Page : 250 pages
File Size : 45,5 Mb
Release : 2010-05-06
Category : Philosophy
ISBN : 9789048132478

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Logic and Philosophy of Mathematics in the Early Husserl by Stefania Centrone Pdf

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 : Edmund Husserl
Publisher : Springer
Page : 0 pages
File Size : 50,9 Mb
Release : 2011-02-04
Category : Philosophy
ISBN : 9048142660

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Early Writings in the Philosophy of Logic and Mathematics by Edmund Husserl Pdf

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 Along with these texts we have included a number of unpublished manuscripts from the same period and dealing with the same or closely related topics.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 : Richard L. Tieszen
Publisher : Cambridge University Press
Page : 369 pages
File Size : 51,5 Mb
Release : 2005-06-06
Category : Mathematics
ISBN : 9780521837828

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Phenomenology, Logic, and the Philosophy of Mathematics by Richard L. Tieszen Pdf

In this 2005 book, logic, mathematical knowledge and objects are explored alongside reason and intuition in the exact sciences.

Author : Edmund Husserl
Publisher : Springer Science & Business Media
Page : 558 pages
File Size : 43,8 Mb
Release : 2012-12-06
Category : Mathematics
ISBN : 9789401000604

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Philosophy of Arithmetic by Edmund Husserl Pdf

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
Page : 290 pages
File Size : 47,9 Mb
Release : 2013-03-09
Category : Philosophy
ISBN : 9789401583343

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Mind, Meaning and Mathematics by L. Haaparanta Pdf

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 : Stefania Centrone
Publisher : Springer
Page : 526 pages
File Size : 49,8 Mb
Release : 2017-09-07
Category : Philosophy
ISBN : 9789402411324

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Essays on Husserl's Logic and Philosophy of Mathematics by Stefania Centrone Pdf

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.

Author : Edmund Husserl
Publisher : Springer Science & Business Media
Page : 500 pages
File Size : 51,5 Mb
Release : 2008-08-26
Category : Philosophy
ISBN : 9781402067273

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Introduction to Logic and Theory of Knowledge by Edmund Husserl Pdf

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.

Author : Edmund Husserl
Publisher : Springer
Page : 359 pages
File Size : 45,8 Mb
Release : 2013-06-29
Category : Philosophy
ISBN : 9789401749008

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Formal and transcendental logic by Edmund Husserl Pdf

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.

Author : Robert S. Tragesser
Publisher : Unknown
Page : 152 pages
File Size : 46,9 Mb
Release : 1977
Category : Philosophy
ISBN : UCAL:B3832668

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Phenomenology and Logic by Robert S. Tragesser Pdf

Author : Claire Ortiz Hill,Jairo Jose Da Silva
Publisher : Unknown
Page : 456 pages
File Size : 54,9 Mb
Release : 2013-04
Category : Mathematics
ISBN : 1848900996

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The Road Not Taken. on Husserl's Philosophy of Logic and Mathematics by Claire Ortiz Hill,Jairo Jose Da Silva Pdf

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.

Author : Edmund Husserl
Publisher : Springer Nature
Page : 437 pages
File Size : 42,9 Mb
Release : 2019-10-01
Category : Philosophy
ISBN : 9783030145293

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Logic and General Theory of Science by Edmund Husserl Pdf

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.

Author : Claire Ortiz Hill,Guillermo E. Rosado Haddock
Publisher : Open Court Publishing
Page : 354 pages
File Size : 53,9 Mb
Release : 2000
Category : Mathematics
ISBN : 0812694171

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Husserl Or Frege? by Claire Ortiz Hill,Guillermo E. Rosado Haddock Pdf

Most areas of philosopher Edmund Husserl’s thought have been explored, but his views on logic, mathematics, and semantics have been largely ignored. These essays offer an alternative to discussions of the philosophy of contemporary mathematics. The book covers areas of disagreement between Husserl and Gottlob Frege, the father of analytical philosophy, and explores new perspectives seen in their work.

Author : Robert S. Tragesser
Publisher : Cambridge University Press
Page : 148 pages
File Size : 45,8 Mb
Release : 1984-02-16
Category : Philosophy
ISBN : 0521242975

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Husserl and Realism in Logic and Mathematics by Robert S. Tragesser Pdf

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 : Mohammad Shafiei,Ahti-Veikko Pietarinen
Publisher : Springer Nature
Page : 219 pages
File Size : 52,9 Mb
Release : 2019-10-05
Category : Philosophy
ISBN : 9783030258009

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Peirce and Husserl: Mutual Insights on Logic, Mathematics and Cognition by Mohammad Shafiei,Ahti-Veikko Pietarinen Pdf

This volume aims to provide the elements for a systematic exploration of certain fundamental notions of Peirce and Husserl in respect with foundations of science by means of drawing a parallelism between their works. Tackling a largely understudied comparison between these two contemporary philosophers, the authors highlight the significant similarities in some of their fundamental ideas. This volume consists of eleven chapters under four parts. The first part concerns methodologies and main principles of the two philosophers. An introductory chapter outlines central historical and systematical themes arising out of the recent scholarship on Peirce and Husserl. The second part is on logic, its Chapters dedicated to the topics from Peirce’s Existential Graphs and the philosophy of notation to Husserl’s notions of pure logic and transcendental logic. The third part includes contributions on philosophy of mathematics. Chapters in the final part deal with the theory of cognition, consciousness and intentionality. The closing chapter provides an extended glossary of central terms of Peirce’s theory of phaneroscopy, explaining them from the viewpoint of the theory of cognition.

Author : Marvin Farber
Publisher : Routledge
Page : 595 pages
File Size : 46,9 Mb
Release : 2017-07-28
Category : Philosophy
ISBN : 9781351482615

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The Foundation of Phenomenology by Marvin Farber Pdf

In this widely hailed and long out of print classic of twentieth century philosophic commentary, Professor Farber explains the origin, development, and function of phenomenology with a view towards its significance for philosophy in general.The book offers a general account of Husserl and the background of his philosophy. The early chapters are devoted to his mathematical-philosophical and psychological studies. The refutation of psychologism is present in detail, together with the critical reaction to it. The development of his logical theories in the light of contemporary literature at the close of the 19th century is next considered. The main content of the six Logical Investigations follows, which contribute to the phenomenological elucidation of experience and knowledge. The phenomenological philosophy of logic as developed in Husserl's later writings is then introduced, followed by a discussion of the phenomenological method and its proper function. Farber makes clear his preference for phenomenology as a purely descriptive method and his opposition to have it serve as a last stronghold of metaphysics.Indispensable as groundwork for descriptive philosophical study, this book will deeply interest not only serious students of philosophy and psychology, but also those who are concerned with the philosophical aspects of mathematics, social and natural sciences, law and psychiatry.