Phenomenology, Logic, and the Philosophy of Mathematics

DOWNLOAD NOW »

Author: Richard L. Tieszen

Publisher: Cambridge University Press

ISBN: 9780521837828

Category: Mathematics

Page: 357

View: 6624

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

Phenomenology and Mathematics

DOWNLOAD NOW »

Author: Mirja Hartimo

Publisher: Springer Science & Business Media

ISBN: 9789048137299

Category: Philosophy

Page: 216

View: 372

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?"

Early Writings in the Philosophy of Logic and Mathematics

DOWNLOAD NOW »

Author: Edmund Husserl

Publisher: Springer

ISBN: 0792322622

Category: Philosophy

Page: 505

View: 788

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 Along with these texts we have included a number of unpublished manuscripts from the same period and dealing with the same or closely related topics.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

After Gödel

Platonism and Rationalism in Mathematics and Logic

DOWNLOAD NOW »

Author: Richard Tieszen

Publisher: OUP Oxford

ISBN: 019960620X

Category: Philosophy

Page: 272

View: 7595

Richard Tieszen analyzes, develops, and defends the writings of Kurt Gödel (1906-1978) on the philosophy and foundations of mathematics and logic. Gödel's relation to the work of Plato, Leibniz, Husserl, and Kant is examined, and a new type of platonic rationalism that requires rational intuition, called 'constituted platonism', is proposed.

The Foundation of Phenomenology

Edmund Husserl and the Quest for a Rigorous Science of Philosophy

DOWNLOAD NOW »

Author: Marvin Farber

Publisher: Routledge

ISBN: 1351482610

Category: Philosophy

Page: 595

View: 5133

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.

Philosophy of Arithmetic

Psychological and Logical Investigations with Supplementary Texts from 1887–1901

DOWNLOAD NOW »

Author: Edmund Husserl

Publisher: Springer Science & Business Media

ISBN: 9401000603

Category: Mathematics

Page: 515

View: 7629

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.

The Origin of the Logic of Symbolic Mathematics

Edmund Husserl and Jacob Klein

DOWNLOAD NOW »

Author: Burt C. Hopkins

Publisher: Indiana University Press

ISBN: 0253005272

Category: Philosophy

Page: 592

View: 1408

Burt C. Hopkins presents the first in-depth study of the work of Edmund Husserl and Jacob Klein on the philosophical foundations of the logic of modern symbolic mathematics. Accounts of the philosophical origins of formalized concepts—especially mathematical concepts and the process of mathematical abstraction that generates them—have been paramount to the development of phenomenology. Both Husserl and Klein independently concluded that it is impossible to separate the historical origin of the thought that generates the basic concepts of mathematics from their philosophical meanings. Hopkins explores how Husserl and Klein arrived at their conclusion and its philosophical implications for the modern project of formalizing all knowledge.

Phenomenology and Logic

The Boston College Lectures on Mathematical Logic and Existentialism

DOWNLOAD NOW »

Author: Bernard J. F. Lonergan,Frederick E. Crowe,Philip J. McShane,Robert M. Doran,Lonergan Research Institute

Publisher: University of Toronto Press

ISBN: 9780802084484

Category: Mathematics

Page: 419

View: 6345

entirety to contemporary readers." --Book Jacket.

Introduction to Logic and Theory of Knowledge

Lectures 1906/07

DOWNLOAD NOW »

Author: Edmund Husserl

Publisher: Springer Science & Business Media

ISBN: 1402067275

Category: Philosophy

Page: 479

View: 7555

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.

Introduction to the Logical Investigations

A Draft of a Preface to the Logical Investigations (1913)

DOWNLOAD NOW »

Author: Edmund Husserl

Publisher: Springer Science & Business Media

ISBN: 9401016550

Category: Philosophy

Page: 62

View: 8875

TO THE LOGICAL INVESTIGATIONS A DRAFT OF A PREFACE TO THE LOGICAL INVESTIGATIONS ( 1913) Edited by EUGEN FINK Translated with Introductions by PHILIP J. BOSSERT and CURTIS H. PETERS • MARTINUS NIJHOFF THE HAGUE 1975 © I975 by Martinus Nijhoff. The Hague. Netherlands All rights reserved. including the right to translate or to reproduce this book or parts thereof in any form ISBN-I3: 978-90-247-1711-8 e-ISBN-I3: 978-94-010-1655-1 DOl: 10. 1007/978-94-010-1655-1 TO HERBERT SPIEGELBERG ESTEEMED SCHOLAR, MENTOR, FRIEND ACKNOWLEDGEMENTS We would like to express our thanks to H. L. Van Breda, director of the Husserl-Archiv (Louvain), for his approval and encouragement of this project, and to Professor Dr. Gerhart Husserl, Professor Dr. Eugen Fink and the editors of Tijdschrift voor Philosophie for their permission to undertake it. We also owe a debt of appreciation to Dr. Karl Schuhmann of the Catholic University of Louvain and to Dr. Elmar Holenstein, Dr. Edi Marbach and Mr. Rudolf Bernet of the Husserl-Archiv (Louvain) for their help in reading the original manuscripts and for putting their excellent knowledge of the Husserl "Nachlass" preserved at the Archives at our disposal. We especially wish to thank Professor Herbert Spiegelberg whose careful and critical reading of our manuscript at an earlier stage resulted in numerous suggestions for its improvement; and, last but not least, our wives, Jane and Pam, for their help in preparing the typescripts. TABLE OF CONTENTS Translator's Introductions XI I. HISTORICAL INTRODUCTION XI II. THEMATIC INTRODUCTION XX III.

Logic and Philosophy of Mathematics in the Early Husserl

DOWNLOAD NOW »

Author: Stefania Centrone

Publisher: Springer Science & Business Media

ISBN: 9048132479

Category: Philosophy

Page: 232

View: 7137

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.

An Historical Introduction to the Philosophy of Mathematics: A Reader

DOWNLOAD NOW »

Author: Russell Marcus,Mark McEvoy

Publisher: Bloomsbury Publishing

ISBN: 1472529480

Category: Philosophy

Page: 896

View: 4368

A comprehensive collection of historical readings in the philosophy of mathematics and a selection of influential contemporary work, this much-needed introduction reveals the rich history of the subject. An Historical Introduction to the Philosophy of Mathematics: A Reader brings together an impressive collection of primary sources from ancient and modern philosophy. Arranged chronologically and featuring introductory overviews explaining technical terms, this accessible reader is easy-to-follow and unrivaled in its historical scope. With selections from key thinkers such as Plato, Aristotle, Descartes, Hume and Kant, it connects the major ideas of the ancients with contemporary thinkers. A selection of recent texts from philosophers including Quine, Putnam, Field and Maddy offering insights into the current state of the discipline clearly illustrates the development of the subject. Presenting historical background essential to understanding contemporary trends and a survey of recent work, An Historical Introduction to the Philosophy of Mathematics: A Reader is required reading for undergraduates and graduate students studying the philosophy of mathematics and an invaluable source book for working researchers.

Mathematics and Mind

DOWNLOAD NOW »

Author: Alexander George

Publisher: Oxford University Press on Demand

ISBN: 0195079299

Category: History

Page: 204

View: 3907

The essays in this volume investigate the conceptual foundations of mathematics illuminating the powers of the mind. Contributors include Alexander George, Michael Dummett, George Boolos, W.W. Tait, Wilfried Sieg, Daniel Isaacson, Charles Parsons, and Michael Hallett.

Essays on Husserl's Logic and Philosophy of Mathematics

DOWNLOAD NOW »

Author: Stefania Centrone

Publisher: Springer

ISBN: 9402411321

Category: Philosophy

Page: 526

View: 3729

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.

The History of Philosophical and Formal Logic

From Aristotle to Tarski

DOWNLOAD NOW »

Author: Alex Malpass,Marianna Antonutti Marfori

Publisher: Bloomsbury Publishing

ISBN: 1472505255

Category: Philosophy

Page: 256

View: 3987

The History of Philosophical and Formal Logic introduces ideas and thinkers central to the development of philosophical and formal logic. From its Aristotelian origins to the present-day arguments, logic is broken down into four main time periods: Antiquity and the Middle Ages (Aristotle and The Stoics) The early modern period (Bolzano, Boole) High modern period (Frege, Peano & Russell and Hilbert) Early 20th century (Godel and Tarski) Each new time frame begins with an introductory overview highlighting themes and points of importance. Chapters discuss the significance and reception of influential works and look at historical arguments in the context of contemporary debates. To support independent study, comprehensive lists of primary and secondary reading are included at the end of chapters, along with exercises and discussion questions. By clearly presenting and explaining the changes to logic across the history of philosophy, The History of Philosophical and Formal Logic constructs an easy-to-follow narrative. This is an ideal starting point for students looking to understand the historical development of logic.

Phenomenology and the Social Context of Psychiatry

Social Relations, Psychopathology, and Husserl's Philosophy

DOWNLOAD NOW »

Author: Magnus Englander

Publisher: Bloomsbury Publishing

ISBN: 1350044326

Category: Philosophy

Page: 224

View: 7833

Exploring phenomenological philosophy as it relates to psychiatry and the social world, this book establishes a common language between psychiatrists, anti-psychiatrists, psychologists and social workers. Phenomenology and the Social Context of Psychiatry is an inter-disciplinary work by phenomenological philosophers, psychiatrists, and psychologists to discover the essence and foundations of social psychiatry. Using the phenomenology of Husserl as a point of departure, the meanings of empathy, interpersonal understanding, we-intentionality, ethics, citizenship and social inclusion are investigated in relation to psychopathology, nosology, and clinical research. This work, drawing upon the rich classical and contemporary phenomenological tradition, touching on a broad range of thinkers such as Deleuze, Levinas, and R.D. Laing, also explicates how phenomenology is a method capable of capturing the human condition and its intricate relation to the social world and mental illness

The Ethics of Time

A Phenomenology and Hermeneutics of Change

DOWNLOAD NOW »

Author: John Panteleimon Manoussakis

Publisher: Bloomsbury Publishing

ISBN: 1474299156

Category: Philosophy

Page: 232

View: 9601

The Ethics of Time utilizes the resources of phenomenology and hermeneutics to explore this under-charted field of philosophical inquiry. Its rigorous analyses of such phenomena as waiting, memory, and the body are carried out phenomenologically, as it engages in a hermeneutical reading of such classical texts as Augustine's Confessions and Sophocles's Oedipus Rex, among others. The Ethics of Time takes seriously phenomenology's claim of a consciousness both constituting time and being constituted by time. This claim has some important implications for the "ethicalÂ?? self or, rather, for the ways in which such a self informed by time, might come to understand anew the problems of imperfection and ethical goodness. Even though a strictly philosophical endeavour, this book engages knowledgeably and deftly with subjects across literature, theology and the arts and will be of interest to scholars throughout these disciplines.

Phenomenology and the Foundations of the Sciences

DOWNLOAD NOW »

Author: Edmund Husserl,T.E. Klein,W.E. Pohl

Publisher: Springer Science & Business Media

ISBN: 9781402002564

Category: Philosophy

Page: 130

View: 9983

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.