Early Writings in the Philosophy of Logic and Mathematics

Early Writings in the Philosophy of Logic and Mathematics

Author: Edmund Husserl

Publisher: Springer

Published: 2011-02-04

Total Pages: 0

ISBN-13: 9789048142668

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 Along with these texts we have included a number of unpublished manuscripts from the same period and dealing with the same or closely related topics.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


Mathematics, Logic, and their Philosophies

Mathematics, Logic, and their Philosophies

Author: Mojtaba Mojtahedi

Publisher: Springer Nature

Published: 2021-02-09

Total Pages: 493

ISBN-13: 3030536548

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This volume is a collection of essays in honour of Professor Mohammad Ardeshir. It examines topics which, in one way or another, are connected to the various aspects of his multidisciplinary research interests. Based on this criterion, the book is divided into three general categories. The first category includes papers on non-classical logics, including intuitionistic logic, constructive logic, basic logic, and substructural logic. The second category is made up of papers discussing issues in the contemporary philosophy of mathematics and logic. The third category contains papers on Avicenna’s logic and philosophy. Mohammad Ardeshir is a full professor of mathematical logic at the Department of Mathematical Sciences, Sharif University of Technology, Tehran, Iran, where he has taught generations of students for around a quarter century. Mohammad Ardeshir is known in the first place for his prominent works in basic logic and constructive mathematics. His areas of interest are however much broader and include topics in intuitionistic philosophy of mathematics and Arabic philosophy of logic and mathematics. In addition to numerous research articles in leading international journals, Ardeshir is the author of a highly praised Persian textbook in mathematical logic. Partly through his writings and translations, the school of mathematical intuitionism was introduced to the Iranian academic community.


Philosophical Troubles

Philosophical Troubles

Author: Saul A. Kripke

Publisher: Oxford University Press

Published: 2011-10-10

Total Pages: 403

ISBN-13: 0199875618

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This important new book is the first of a series of volumes collecting the essential articles by the eminent and highly influential philosopher Saul A. Kripke. It presents a mixture of published and unpublished articles from various stages of Kripke's storied career. Included here are seminal and much discussed pieces such as "Identity and Necessity", "Outline of a Theory of Truth", "Speaker's Reference and Semantic Reference", and "A Puzzle About Belief." More recent published articles include "Russell's Notion of Scope" and "Frege's Theory of Sense and Reference" among others. Several articles are published here for the first time, including both older works ("Two Paradoxes of Knowledge", "Vacuous Names and Fictional Entities", "Nozick on Knowledge") as well as newer ("The First Person" and "Unrestricted Exportation"). "A Puzzle on Time and Thought" was written expressly for this volume. Publication of this volume -- which ranges over epistemology, linguistics, pragmatics, philosophy of language, history of analytic philosophy, theory of truth, and metaphysics -- represents a major event in contemporary analytic philosophy. It will be of great interest to the many who are interested in the work of one its greatest living figures.


Logical and Philosophical Papers, 1909-13

Logical and Philosophical Papers, 1909-13

Author: Bertrand Russell

Publisher: Psychology Press

Published: 1992

Total Pages: 650

ISBN-13: 9780415084468

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The years covered by this volume of the Collected Papers of Bertrand Russell were among the most productive, philosophically speaking, of Russell's entire career. In addition to the papers reprinted here, he bought Principia Mathematica to its finished form and wrote The Problems of Philosophy, Theory of Knowledge and Knowledge of the External World. In October 1910 he began teaching at Cambridge, having accepted an appointment as lecturer in logic and the principles of mathematics at Trinity College for a term of five years. A year later Ludwig Wittgenstein began to attend his lectures. Within a few months he was influencing Russell's philosophical thinking as much as, or more than, Russell was influencing his.


Philosophy of Arithmetic

Philosophy of Arithmetic

Author: Edmund Husserl

Publisher: Springer Science & Business Media

Published: 2012-12-06

Total Pages: 558

ISBN-13: 9401000603

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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.


Logic, Philosophy of Mathematics, and Their History

Logic, Philosophy of Mathematics, and Their History

Author: Erich H Reck

Publisher:

Published: 2018-11-16

Total Pages: 326

ISBN-13: 9781848902879

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In a career that spans 60 years so far, W.W. Tait has made many highly influential contributions to logic, the philosophy of mathematics, and their history. The present collection of new essays - contributed by former students, colleagues, and friends - is a Festschrift, i.e., a celebration of his life and work. The essays address a variety of themes prominent in his work or related to it. The collection starts with an introduction in which Tait's contributions are sketched and put into context. The eleven essays that follow are arranged in three parts: Part I. Proof Theory and its History; Part II. Logic and Philosophy of Mathematics; and Part III. History of Logic and Philosophy of Mathematics. Each of the essays contributes substantially to one or several of these areas. The authors included are: Steve Awodey, Solomon Feferman, Michael Friedman, Warren Goldfarb, Geoffrey Hellman, William Howard, Stephen Menn, Rebecca Morris, Charles Parsons, Erich Reck, Thomas Ricketts, and Wilfried Sieg. The editor, Erich H. Reck is Professor of Philosophy at the University of California at Riverside.


Essays on Husserl's Logic and Philosophy of Mathematics

Essays on Husserl's Logic and Philosophy of Mathematics

Author: Stefania Centrone

Publisher: Springer

Published: 2017-09-07

Total Pages: 541

ISBN-13: 9402411321

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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.