Essays On Husserl S Logic And Philosophy Of Mathematics

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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 : 52,6 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.

Mind, Meaning and Mathematics

L. Haaparanta
Mind Meaning and Mathematics Book PDF

Author : L. Haaparanta
Publisher : Springer Science & Business Media
Page : 284 pages
File Size : 42,9 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.

Phenomenology, Logic, and the Philosophy of Mathematics

Richard L. Tieszen
Phenomenology Logic and the Philosophy of Mathematics Book PDF

Author : Richard L. Tieszen
Publisher : Cambridge University Press
Page : 369 pages
File Size : 55,6 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.

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

Mark van Atten
Essays on G del s Reception of Leibniz Husserl and Brouwer Book PDF

Author : Mark van Atten
Publisher : Springer
Page : 336 pages
File Size : 55,8 Mb
Release : 2014-11-21
Category : Philosophy
ISBN : 9783319100319

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Essays on Gödel’s Reception of Leibniz, Husserl, and Brouwer by Mark van Atten Pdf

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.

Essays in the Philosophy and History of Logic and Mathematics

Roman Murawski
Essays in the Philosophy and History of Logic and Mathematics Book PDF

Author : Roman Murawski
Publisher : BRILL
Page : 327 pages
File Size : 50,7 Mb
Release : 2015-06-29
Category : Philosophy
ISBN : 9789042030916

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Essays in the Philosophy and History of Logic and Mathematics by Roman Murawski Pdf

The book is a collection of the author’s selected works in the philosophy and history of logic and mathematics. Papers in Part I include both general surveys of contemporary philosophy of mathematics as well as studies devoted to specialized topics, like Cantor's philosophy of set theory, the Church thesis and its epistemological status, the history of the philosophical background of the concept of number, the structuralist epistemology of mathematics and the phenomenological philosophy of mathematics. Part II contains essays in the history of logic and mathematics. They address such issues as the philosophical background of the development of symbolism in mathematical logic, Giuseppe Peano and his role in the creation of contemporary logical symbolism, Emil L. Post's works in mathematical logic and recursion theory, the formalist school in the foundations of mathematics and the algebra of logic in England in the 19th century. The history of mathematics and logic in Poland is also considered. This volume is of interest to historians and philosophers of science and mathematics as well as to logicians and mathematicians interested in the philosophy and history of their fields.

Husserl and Realism in Logic and Mathematics

Robert S. Tragesser
Husserl and Realism in Logic and Mathematics Book PDF

Author : Robert S. Tragesser
Publisher : Cambridge University Press
Page : 148 pages
File Size : 42,5 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.

Mathematics and Its Logics

Geoffrey Hellman
Mathematics and Its Logics Book PDF

Author : Geoffrey Hellman
Publisher : Cambridge University Press
Page : 295 pages
File Size : 52,6 Mb
Release : 2021-02-04
Category : Mathematics
ISBN : 9781108494182

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Mathematics and Its Logics by Geoffrey Hellman Pdf

The essays in this volume present a sustained case for a healthy pluralism in mathematics and its logics.

Kurt Gödel

Solomon Feferman,Charles Parsons,Stephen G. Simpson
Kurt G del Book PDF

Author : Solomon Feferman,Charles Parsons,Stephen G. Simpson
Publisher : Cambridge University Press
Page : 384 pages
File Size : 43,9 Mb
Release : 2010-04-19
Category : Mathematics
ISBN : 9781139487757

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Kurt Gödel by Solomon Feferman,Charles Parsons,Stephen G. Simpson Pdf

Kurt Gödel (1906–1978) did groundbreaking work that transformed logic and other important aspects of our understanding of mathematics, especially his proof of the incompleteness of formalized arithmetic. This book on different aspects of his work and on subjects in which his ideas have contemporary resonance includes papers from a May 2006 symposium celebrating Gödel's centennial as well as papers from a 2004 symposium. Proof theory, set theory, philosophy of mathematics, and the editing of Gödel's writings are among the topics covered. Several chapters discuss his intellectual development and his relation to predecessors and contemporaries such as Hilbert, Carnap, and Herbrand. Others consider his views on justification in set theory in light of more recent work and contemporary echoes of his incompleteness theorems and the concept of constructible sets.

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 : 46,8 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.

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 : 51,5 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.

Oskar Becker, On the Logic of Modalities (1930): Translation, Commentary and Analysis

Stefania Centrone,Pierluigi Minari
Oskar Becker On the Logic of Modalities 1930 Translation Commentary and Analysis Book PDF

Author : Stefania Centrone,Pierluigi Minari
Publisher : Springer Nature
Page : 167 pages
File Size : 49,5 Mb
Release : 2022-04-11
Category : Philosophy
ISBN : 9783030875480

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Oskar Becker, On the Logic of Modalities (1930): Translation, Commentary and Analysis by Stefania Centrone,Pierluigi Minari Pdf

This book offers the first-ever English translation of Oskar Becker’s Zur Logik der Modalitäten. This essay, published in 1930, is a pioneering yet often neglected contribution in the context of prewar modal logic research in Europe. Becker’s text is complemented by an extended commentary that explains, analyzes and highlights Becker’s accomplishments and the philosophical background of his investigations. The commentary provides an in-depth analysis of all of Becker's important contributions, both from a philosophical and logical perspective, making it a very useful book for scholars in both philosophy and logic.

From Dedekind to Gödel

Jaakko Hintikka
From Dedekind to G del Book PDF

Author : Jaakko Hintikka
Publisher : Springer Science & Business Media
Page : 460 pages
File Size : 46,8 Mb
Release : 2013-03-09
Category : Philosophy
ISBN : 9789401584784

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From Dedekind to Gödel by Jaakko Hintikka Pdf

Discussions of the foundations of mathematics and their history are frequently restricted to logical issues in a narrow sense, or else to traditional problems of analytic philosophy. From Dedekind to Gödel: Essays on the Development of the Foundations of Mathematics illustrates the much greater variety of the actual developments in the foundations during the period covered. The viewpoints that serve this purpose included the foundational ideas of working mathematicians, such as Kronecker, Dedekind, Borel and the early Hilbert, and the development of notions like model and modelling, arbitrary function, completeness, and non-Archimedean structures. The philosophers discussed include not only the household names in logic, but also Husserl, Wittgenstein and Ramsey. Needless to say, such logically-oriented thinkers as Frege, Russell and Gödel are not entirely neglected, either. Audience: Everybody interested in the philosophy and/or history of mathematics will find this book interesting, giving frequently novel insights.

From Kant to Husserl

Charles Parsons
From Kant to Husserl Book PDF

Author : Charles Parsons
Publisher : Harvard University Press
Page : 257 pages
File Size : 48,6 Mb
Release : 2012-03-15
Category : Philosophy
ISBN : 9780674065420

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From Kant to Husserl by Charles Parsons Pdf

In From Kant to Husserl, Charles Parsons examines a wide range of historical opinion on philosophical questions from mathematics to phenomenology. Amplifying his early ideas on Kant’s philosophy of arithmetic, the author then turns to reflections on Frege, Brentano, and Husserl.

Logic and Time

K. Michalski
Logic and Time Book PDF

Author : K. Michalski
Publisher : Springer Science & Business Media
Page : 192 pages
File Size : 54,5 Mb
Release : 2001-11-30
Category : Philosophy
ISBN : 1402002483

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Logic and Time by K. Michalski Pdf

The subject of this study is Husserl's theory of meaning as it appears in his writings from the Logical Investigations to the Crisis of the European Sciences. The first chapter focuses on HusserI's critique of psychologism and the theory of meaning that stems from it. The second chapter takes its departure from the question of HusserI's attitude towards the Cartesian tradition, then presents the transcendental (noematic) theory of meaning represented by The Idea of Phenome nology, Ideas, and Cartesian Meditations. The third chapter deals with Husserl's interpretation of time consciousness against the background of the development of the problem of time in modem philosophy. Husserl often changed his views regarding the question of meaning. I have tried to understand the reasons for these changes. To do this, I have occasionally disturbed the chronological order of his arguments in favour of a consideration of their logical development and coher ence. Throughout this study, but especially in the digression on consciousness and speech and the Postscript, I have also attempted to bring to the fore a tension in Husserl's thought between two interpre tive strategies: the first I call Cartesian, the other non-Cartesian or hermeneutical.

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 : 946 pages
File Size : 45,9 Mb
Release : 2021-09-20
Category : Philosophy
ISBN : 9781000293357

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

Volume XVIII Special Issue: Gian-Carlo Rota and The End of Objectivity, 2019 Aim and Scope: 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. Contributors: Gabriele Baratelli, Stefania Centrone, Giovanna C. Cifoletti, Jean-Marie Coquard, Steven Crowell, Deborah De Rosa, Daniele De Santis, Nicolas de Warren, Agnese Di Riccio, Aurélien Djian, Yuval Dolev, Mirja Hartimo, Burt C. Hopkins, Talia Leven, Ah Hyun Moon, Luis Niel, Fabrizio Palombi, Mario Ariel González Porta, Gian-Carlo Rota, Michael Roubach, Franco Trabattoni and Michele Vagnetti. Submissions: Manuscripts, prepared for blind review, should be submitted to the Editors ([email protected] and [email protected]) electronically via e-mail attachments.