Early Writings In The Philosophy Of Logic And Mathematics

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Early Writings in the Philosophy of Logic and Mathematics

Edmund Husserl
Early Writings in the Philosophy of Logic and Mathematics Book PDF

Author : Edmund Husserl
Publisher : Springer
Page : 0 pages
File Size : 52,7 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 Along with these texts we have included a number of unpublished manuscripts from the same period and dealing with the same or closely related topics.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.

Philosophy of Logic

Anonim
Philosophy of Logic Book PDF

Author : Anonim
Publisher : Elsevier
Page : 1218 pages
File Size : 49,7 Mb
Release : 2006-11-29
Category : Mathematics
ISBN : 008046663X

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Philosophy of Logic by Anonim Pdf

The papers presented in this volume examine topics of central interest in contemporary philosophy of logic. They include reflections on the nature of logic and its relevance for philosophy today, and explore in depth developments in informal logic and the relation of informal to symbolic logic, mathematical metatheory and the limiting metatheorems, modal logic, many-valued logic, relevance and paraconsistent logic, free logics, extensional v. intensional logics, the logic of fiction, epistemic logic, formal logical and semantic paradoxes, the concept of truth, the formal theory of entailment, objectual and substitutional interpretation of the quantifiers, infinity and domain constraints, the Löwenheim-Skolem theorem and Skolem paradox, vagueness, modal realism v. actualism, counterfactuals and the logic of causation, applications of logic and mathematics to the physical sciences, logically possible worlds and counterpart semantics, and the legacy of Hilbert’s program and logicism. The handbook is meant to be both a compendium of new work in symbolic logic and an authoritative resource for students and researchers, a book to be consulted for specific information about recent developments in logic and to be read with pleasure for its technical acumen and philosophical insights. - Written by leading logicians and philosophers - Comprehensive authoritative coverage of all major areas of contemporary research in symbolic logic - Clear, in-depth expositions of technical detail - Progressive organization from general considerations to informal to symbolic logic to nonclassical logics - Presents current work in symbolic logic within a unified framework - Accessible to students, engaging for experts and professionals - Insightful philosophical discussions of all aspects of logic - Useful bibliographies in every chapter

Philosophical and Mathematical Logic

Harrie de Swart
Philosophical and Mathematical Logic Book PDF

Author : Harrie de Swart
Publisher : Springer
Page : 539 pages
File Size : 49,7 Mb
Release : 2018-11-28
Category : Philosophy
ISBN : 9783030032555

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Philosophical and Mathematical Logic by Harrie de Swart Pdf

This book was written to serve as an introduction to logic, with in each chapter – if applicable – special emphasis on the interplay between logic and philosophy, mathematics, language and (theoretical) computer science. The reader will not only be provided with an introduction to classical logic, but to philosophical (modal, epistemic, deontic, temporal) and intuitionistic logic as well. The first chapter is an easy to read non-technical Introduction to the topics in the book. The next chapters are consecutively about Propositional Logic, Sets (finite and infinite), Predicate Logic, Arithmetic and Gödel’s Incompleteness Theorems, Modal Logic, Philosophy of Language, Intuitionism and Intuitionistic Logic, Applications (Prolog; Relational Databases and SQL; Social Choice Theory, in particular Majority Judgment) and finally, Fallacies and Unfair Discussion Methods. Throughout the text, the author provides some impressions of the historical development of logic: Stoic and Aristotelian logic, logic in the Middle Ages and Frege's Begriffsschrift, together with the works of George Boole (1815-1864) and August De Morgan (1806-1871), the origin of modern logic. Since "if ..., then ..." can be considered to be the heart of logic, throughout this book much attention is paid to conditionals: material, strict and relevant implication, entailment, counterfactuals and conversational implicature are treated and many references for further reading are given. Each chapter is concluded with answers to the exercises. Philosophical and Mathematical Logic is a very recent book (2018), but with every aspect of a classic. What a wonderful book! Work written with all the necessary rigor, with immense depth, but without giving up clarity and good taste. Philosophy and mathematics go hand in hand with the most diverse themes of logic. An introductory text, but not only that. It goes much further. It's worth diving into the pages of this book, dear reader! Paulo Sérgio Argolo

Essays on Husserl's Logic and Philosophy of Mathematics

Stefania Centrone
Essays on Husserl s Logic and Philosophy of Mathematics Book PDF

Author : Stefania Centrone
Publisher : Springer
Page : 526 pages
File Size : 54,9 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.

Early Phenomenology in Central and Eastern Europe

Witold Płotka,Patrick Eldridge
Early Phenomenology in Central and Eastern Europe Book PDF

Author : Witold Płotka,Patrick Eldridge
Publisher : Springer Nature
Page : 225 pages
File Size : 52,5 Mb
Release : 2020-04-05
Category : Philosophy
ISBN : 9783030396237

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Early Phenomenology in Central and Eastern Europe by Witold Płotka,Patrick Eldridge Pdf

This book presents the origins of Central and Eastern European phenomenology. It features chapters that explore the movement's development, its most important thinkers, and its theoretical and historical context. This collection examines such topics as the realism-idealism controversy, the status of descriptive psychology, the question of the phenomenological method, and the problem of the world. The chapters span the first decades of the development of phenomenology in Czechoslovakia, Poland, Romania, Russia, and Yugoslavia before World War II. The contributors track the Brentanian heritage of the development. They show how this tradition inspired influential thinkers like Celms, Špet, Ingarden, Frank, Twardowski, Patočka, and others. The book also puts forward original investigations. Moreover it elaborates new accounts of the foundations of phenomenology. While the volume begins with the Brentanian heritage, it situates phenomenology in a dialogue with other important schools of thought of that time, including the Prague School and Lvov-Warsaw School of Logic. This collection highlights thinkers whose writings have had only a limited reception outside their home countries due to political and historical circumstances. It will help readers gain a better understanding of how the phenomenological movement developed beyond its start in Germany. Readers will also come to see how the phenomenological method resonated in different countries and led to new philosophical developments in ontology, epistemology, psychology, philosophy of culture, and philosophy of religion.

Philosophy of Logic (Routledge Revivals)

Hilary Putnam
Philosophy of Logic Routledge Revivals Book PDF

Author : Hilary Putnam
Publisher : Routledge
Page : 86 pages
File Size : 55,5 Mb
Release : 2014-04-04
Category : Philosophy
ISBN : 9781317832584

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Philosophy of Logic (Routledge Revivals) by Hilary Putnam Pdf

First published in 1971, Professor Putnam's essay concerns itself with the ontological problem in the philosophy of logic and mathematics - that is, the issue of whether the abstract entities spoken of in logic and mathematics really exist. He also deals with the question of whether or not reference to these abstract entities is really indispensible in logic and whether it is necessary in physical science in general.

Handbook of Philosophical Logic

Dov M. Gabbay,Franz Guenthner
Handbook of Philosophical Logic Book PDF

Author : Dov M. Gabbay,Franz Guenthner
Publisher : Springer Science & Business Media
Page : 417 pages
File Size : 41,6 Mb
Release : 2013-03-09
Category : Philosophy
ISBN : 9789401704526

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Handbook of Philosophical Logic by Dov M. Gabbay,Franz Guenthner Pdf

It is with great pleasure that we are presenting to the community the second edition of this extraordinary handbook. It has been over 15 years since the publication of the first edition and there have been great changes in the landscape of philosophical logic since then. The first edition has proved invaluable to generations of students and researchers in formal philosophy and language, as weIl as to consumers of logic in many applied areas. The main logic artiele in the Encyelopaedia Britannica 1999 has described the first edition as 'the best starting point for exploring any of the topics in logic'. We are confident that the second edition will prove to be just as good. ! The first edition was the second handbook published for the logic commu nity. It followed the North Holland one volume Handbook 0/ Mathematical Logic, published in 1977, edited by the late Jon Barwise. The four volume Handbook 0/ Philosophical Logic, published 1983-1989 came at a fortunate at the evolution of logic. This was the time when logic temporal junction was gaining ground in computer science and artificial intelligence cireles. These areas were under increasing commercial pressure to provide devices which help andjor replace the human in his daily activity. This pressure required the use of logic in the modelling of human activity and organisa tion on the one hand and to provide the theoretical basis for the computer program constructs on the other.

The Origin of the Logic of Symbolic Mathematics

Burt C. Hopkins
The Origin of the Logic of Symbolic Mathematics Book PDF

Author : Burt C. Hopkins
Publisher : Indiana University Press
Page : 593 pages
File Size : 47,9 Mb
Release : 2011-09-07
Category : Philosophy
ISBN : 9780253005274

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The Origin of the Logic of Symbolic Mathematics by Burt C. Hopkins Pdf

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.

Peirce and Husserl: Mutual Insights on Logic, Mathematics and Cognition

Mohammad Shafiei,Ahti-Veikko Pietarinen
Peirce and Husserl Mutual Insights on Logic Mathematics and Cognition Book PDF

Author : Mohammad Shafiei,Ahti-Veikko Pietarinen
Publisher : Springer Nature
Page : 219 pages
File Size : 51,6 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.

Philosophy of Arithmetic

Edmund Husserl
Philosophy of Arithmetic Book PDF

Author : Edmund Husserl
Publisher : Springer Science & Business Media
Page : 558 pages
File Size : 51,9 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.

Husserl

David Woodruff Smith
Husserl Book PDF

Author : David Woodruff Smith
Publisher : Routledge
Page : 411 pages
File Size : 51,9 Mb
Release : 2013-07-04
Category : Philosophy
ISBN : 9781135009809

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Husserl by David Woodruff Smith Pdf

This second edition of David Woodruff Smith’s stimulating introduction to Husserl has been fully updated and includes a new ninth chapter featuring contemporary issues confronting Husserl’s phenomenology. It introduces the whole of Edmund Husserl’s thought, demonstrating his influence on philosophy of mind and language, on ontology and epistemology, as well as ethical theory, and on philosophy of logic, mathematics, and science. Starting with an overview of Husserl’s life and works, and his place in twentieth-century philosophy and in Western philosophy as a whole, Smith introduces Husserl’s conception of phenomenology, explaining Husserl’s innovative theories of intentionality, objectivity, subjectivity, and intersubjectivity. In subsequent chapters Smith covers Husserl’s logic, metaphysics, realism and transcendental idealism, epistemology, and (meta)ethics. Finally, the author assesses the significance and implications of Husserl’s work for contemporary philosophy of mind and cognitive science. Also included is a timeline, glossary, and extensive suggestions for further reading, making Husserl, second edition, essential reading for anyone interested in phenomenology, twentieth-century philosophy, and the continuing influence of this eminent philosopher.

The Reception of Husserlian Phenomenology in North America

Michela Beatrice Ferri
The Reception of Husserlian Phenomenology in North America Book PDF

Author : Michela Beatrice Ferri
Publisher : Springer
Page : 486 pages
File Size : 42,8 Mb
Release : 2019-06-05
Category : Philosophy
ISBN : 9783319991856

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The Reception of Husserlian Phenomenology in North America by Michela Beatrice Ferri Pdf

This book presents a historiographical and theorical analysis of how Husserlian Phenomenology arrived and developed in North America. The chapters analyze the different phases of the reception of Edmund Husserl’s thought in the USA and Canada. The volume discusses the authors and universities that played a fundamental role in promoting Husserlian Phenomenology and clarifies their connection with American Philosophy, Pragmatism, and with Analytic Philosophy. Starting from the analysis of how the first American Scholars of Edmund Husserl's thought opened the door to the reception of his texts, the book explores the first encounters between Pragmatism and Husserlian Phenomenology in American Universities. The study focuses, then, on those Scholars who fled from Europe to America, from 1933 onwards, to escape Nazism - Felix Kaufmann, Alfred Schutz, Aron Gurwitsch, Herbert Spiegelberg, Fritz Kaufmann, among the most notable - and illustrates how their teaching provided the very basis for the spreading of Husserlian Phenomenology in North America. The volume examines, then, the action of the 20th Century North-American Husserl Scholars, together with those places, societies, centers, and journals, specifically created to represent the development of the studies devoted to Husserlian Phenomenology in the U.S., with a focus of the Regional Phenomenological Schools.

The Shorter Logical Investigations

Edmund Husserl
The Shorter Logical Investigations Book PDF

Author : Edmund Husserl
Publisher : Routledge
Page : 855 pages
File Size : 43,7 Mb
Release : 2002-09-26
Category : Philosophy
ISBN : 9781134548415

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The Shorter Logical Investigations by Edmund Husserl Pdf

Edmund Husserl is widely regarded as one of the most influential philosophers of the twentieth century. One of the founders of phenomenology, the Logical Investigations is his most famous work. Published in two volumes in 1 900 and 1901, it had a decisive impact on the direction of twentieth-century philosophy. It is one of the few works to have influenced philosophers as far apart as Frege and Heidegger and had a crucial impact on the development of both continental and analytical philosophy. This abridged edition of J.N. Findlay's translation makes the key sections of this classic work available in one volume for the first time. It has been specially edited and includes corrections to the Findlay translation and a new introduction by Dermot Moran, placing the Logical Investigations in historical context and bringing out its importance for contemporary philosophy.

Logic and Philosophy of Mathematics in the Early Husserl

Stefania Centrone
Logic and Philosophy of Mathematics in the Early Husserl Book PDF

Author : Stefania Centrone
Publisher : Springer Science & Business Media
Page : 250 pages
File Size : 50,6 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.

The New Yearbook for Phenomenology and Phenomenological Philosophy

Burt Hopkins,John Drummond
The New Yearbook for Phenomenology and Phenomenological Philosophy Book PDF

Author : Burt Hopkins,John Drummond
Publisher : Routledge
Page : 378 pages
File Size : 45,9 Mb
Release : 2015-03-24
Category : Philosophy
ISBN : 9781317591122

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The New Yearbook for Phenomenology and Phenomenological Philosophy by Burt Hopkins,John Drummond Pdf

The New Yearbook for Phenomenology and Phenomenological Philosophy provides an annual international forum for phenomenological research in the spirit of Husserl's groundbreaking work and the extension of this work by such figures as Scheler, Heidegger, Sartre, Levinas, Merleau-Ponty and Gadamer.