Early Writings in the Philosophy of Logic and Mathematics

Author: Edmund Husserl

Publisher: Springer

ISBN: 0792322622

Category: Philosophy

Page: 505

View: 8872

DOWNLOAD NOW »

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 Along with these texts we have included a number of unpublished manuscripts from the same period and dealing with the same or closely related topics.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.
Release

Essays on Gödel’s Reception of Leibniz, Husserl, and Brouwer

Author: Mark van Atten

Publisher: Springer

ISBN: 3319100319

Category: Philosophy

Page: 328

View: 5264

DOWNLOAD NOW »

This volume tackles Gödel's two-stage project of first using Husserl's transcendental phenomenology to reconstruct and develop Leibniz' monadology, and then founding classical mathematics on the metaphysics thus obtained. The author analyses the historical and systematic aspects of that project, and then evaluates it, with an emphasis on the second stage. The book is organised around Gödel's use of Leibniz, Husserl and Brouwer. Far from considering past philosophers irrelevant to actual systematic concerns, Gödel embraced the use of historical authors to frame his own philosophical perspective. The philosophies of Leibniz and Husserl define his project, while Brouwer's intuitionism is its principal foil: the close affinities between phenomenology and intuitionism set the bar for Gödel's attempt to go far beyond intuitionism. The four central essays are `Monads and sets', `On the philosophical development of Kurt Gödel', `Gödel and intuitionism', and `Construction and constitution in mathematics'. The first analyses and criticises Gödel's attempt to justify, by an argument from analogy with the monadology, the reflection principle in set theory. It also provides further support for Gödel's idea that the monadology needs to be reconstructed phenomenologically, by showing that the unsupplemented monadology is not able to found mathematics directly. The second studies Gödel's reading of Husserl, its relation to Leibniz' monadology, and its influence on his publishe d writings. The third discusses how on various occasions Brouwer's intuitionism actually inspired Gödel's work, in particular the Dialectica Interpretation. The fourth addresses the question whether classical mathematics admits of the phenomenological foundation that Gödel envisaged, and concludes that it does not. The remaining essays provide further context. The essays collected here were written and published over the last decade. Notes have been added to record further thoughts, changes of mind, connections between the essays, and updates of references.
Release

Introduction to Logic and Theory of Knowledge

Lectures 1906/07

Author: Edmund Husserl

Publisher: Springer Science & Business Media

ISBN: 1402067275

Category: Philosophy

Page: 479

View: 5992

DOWNLOAD NOW »

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.
Release

Encyclopedia of Phenomenology

Author: Lester Embree

Publisher: Springer Science & Business Media

ISBN: 9401588813

Category: Philosophy

Page: 765

View: 1190

DOWNLOAD NOW »

This encyclopedia presents phenomenological thought and the phenomenological movement within philosophy and within more than a score of other disciplines on a level accessible to professional colleagues of other orientations as well as to advanced undergraduate and graduate students. Entries average 3,000 words. In practically all cases, they include lists of works "For Further Study." The Introduction briefly chronicles the changing phenomenological agenda and compares phenomenology with other 20th Century movements. The 166 entries are a baut matters of seven sorts: ( 1) the faur broad tendencies and periods within the phenomenological movement; (2) twenty-three national traditions ofphenomenology; (3) twenty-two philosophical sub-disciplines, including those referred to with the formula "the philosophy of x"; (4) phenomenological tendencies within twenty-one non-philosophical dis ciplines; (5) forty major phenomenological topics; (6) twenty-eight leading phenomenological figures; and (7) twenty-seven non-phenomenological figures and movements ofinteresting sim ilarities and differences with phenomenology. Conventions Concern ing persons, years ofbirth and death are given upon first mention in an entry ofthe names of deceased non-phenomenologists. The names of persons believed tobe phenomenologists and also, for cross-referencing purposes, the titles of other entries are printed entirely in SMALL CAPITAL letters, also upon first mention. In addition, all words thus occurring in all small capital letters are listed in the index with the numbers of all pages on which they occur. To facilitate indexing, Chinese, Hungarian, and Japanese names have been re-arranged so that the personal name precedes the family name.
Release

Philosophy of Arithmetic

Psychological and Logical Investigations with Supplementary Texts from 1887–1901

Author: Edmund Husserl

Publisher: Springer Science & Business Media

ISBN: 9401000603

Category: Mathematics

Page: 515

View: 3973

DOWNLOAD NOW »

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.
Release

Philosophy of Mind: The Key Thinkers

Author: Andrew Bailey

Publisher: A&C Black

ISBN: 1441166319

Category: Philosophy

Page: 320

View: 1289

DOWNLOAD NOW »

Exploring what great philosophers have written about the nature of thought and consciousness Philosophy of Mind: The Key Thinkers offers a comprehensive overview of this fascinating field. Thirteen specially commissioned essays, written by leading experts, introduce and explore the contributions of those philosophers who have shaped the subject and the central issues and arguments therein. The modern debate about the mind was shaped by Descartes in the seventeenth century, and then reshaped in the mid-twentieth century, and since, by exciting developments in science and philosophy. This book concentrates on the development of philosophical views on the mind since Descartes, offering coverage of the leading thinkers in the field including Husserl, Ryle, Lewis, Putnam, Fodor, Davidson, Dennett and the Churchlands. Crucially the book demonstrates how the ideas and arguments of these key thinkers have contributed to our understanding of the relationship between mind and brain. Ideal for undergraduate students, the book lays the necessary foundations for a complete and thorough understanding of this fascinating subject.
Release

Husserl and the Sciences

Selected Perspectives

Author: Richard Feist

Publisher: University of Ottawa Press

ISBN: 0776630261

Category: Philosophy

Page: 230

View: 7411

DOWNLOAD NOW »

Edmund Husserl (1859-1938) was the founder of the phenomenological movement. Emphasising the strong connection between Husserl's phenomenology and the empirical sciences and mathematics, the essays in Husserl and the Sciences are grouped around this relationship according to the following themes: epistemology, philosophy of mathematics, philosophy of physics, and the broader context of Husserl's philosophy in relation to social science. One of the main conclusions, reached in various ways by the contributors, is that the philosophy of Husserl is a much broader system of thinking than had been previously assumed. It helps to read Husserl in his own right as a thinker who was much more than simply the father of the 'phenomenological movement.' Husserl's relationships to major figures of the western philosophical tradition as well as mathematicians such as David Hilbert, Hermann Weyl, and Kurt Gödel are also examined.
Release

Edmund Husserl

Author: Edmund Husserl

Publisher: Springer Science & Business Media

ISBN: 9789024720934

Category: Philosophy

Page: 130

View: 9914

DOWNLOAD NOW »

There is no author's introduction to Phenomenology and the Foundations of the Sciences,! either as published here in the first English translation or in the standard German edition, because its proper introduction is its companion volume: General Introduction to Pure Phenomenology. 2 The latter is the first book of Edmund Husserl's larger work: Ideas Toward a Pure Phenomenology and Phenomenological Philosophy, and is commonly referred to as Ideas I (or Ideen 1). The former is commonly called Ideen III. Between these two parts of the whole stands a third: Phenomeno 3 logical Investigations of Constitution, generally known as Ideen II. In this introduction the Roman numeral designations will be used, as well as the abbreviation PFS for the translation at hand. In many translation projects there is an initial problem of establish ing the text to be translated. That problem confronts translators of the books of Husserl's Ideas in different ways. The Ideas was written in 1912, during Husserl's years in Gottingen (1901-1916). Books I and II were extensively revised over nearly two decades and the changes were incorporated by the editors into the texts of the Husserliana editions of 1950 and 1952 respectively. Manuscripts of the various reworkings of the texts are preserved in the Husserl Archives, but for those unable to work there the only one directly available for Ideen II is the reconstructed one.
Release

Phenomenology and Mathematics

Author: Mirja Hartimo

Publisher: Springer Science & Business Media

ISBN: 9789048137299

Category: Philosophy

Page: 216

View: 5253

DOWNLOAD NOW »

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?"
Release