Early Writings In The Philosophy Of Logic And Mathematics
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Author |
: Edmund Husserl |
Publisher |
: Springer |
Total Pages |
: 505 |
Release |
: 1993-12-31 |
ISBN-10 |
: 9780792322627 |
ISBN-13 |
: 0792322622 |
Rating |
: 4/5 (27 Downloads) |
Synopsis Early Writings in the Philosophy of Logic and Mathematics by : Edmund Husserl
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 Along with these texts we have included a number of unpublished manuscripts from the same period and dealing with the same or closely related topics.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.
Author |
: Harrie de Swart |
Publisher |
: Springer |
Total Pages |
: 558 |
Release |
: 2018-11-28 |
ISBN-10 |
: 9783030032555 |
ISBN-13 |
: 3030032558 |
Rating |
: 4/5 (55 Downloads) |
Synopsis Philosophical and Mathematical Logic by : Harrie de Swart
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
Author |
: Hilary Putnam |
Publisher |
: Routledge |
Total Pages |
: 86 |
Release |
: 2014-04-04 |
ISBN-10 |
: 9781317832584 |
ISBN-13 |
: 1317832582 |
Rating |
: 4/5 (84 Downloads) |
Synopsis Philosophy of Logic (Routledge Revivals) by : Hilary Putnam
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.
Author |
: Stefania Centrone |
Publisher |
: Springer Science & Business Media |
Total Pages |
: 250 |
Release |
: 2010-05-06 |
ISBN-10 |
: 9789048132478 |
ISBN-13 |
: 9048132479 |
Rating |
: 4/5 (78 Downloads) |
Synopsis Logic and Philosophy of Mathematics in the Early Husserl by : Stefania Centrone
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.
Author |
: Charles S. Peirce |
Publisher |
: Indiana University Press |
Total Pages |
: 336 |
Release |
: 2010-08-19 |
ISBN-10 |
: 9780253004697 |
ISBN-13 |
: 0253004691 |
Rating |
: 4/5 (97 Downloads) |
Synopsis Philosophy of Mathematics by : Charles S. Peirce
The philosophy of mathematics plays a vital role in the mature philosophy of Charles S. Peirce. Peirce received rigorous mathematical training from his father and his philosophy carries on in decidedly mathematical and symbolic veins. For Peirce, math was a philosophical tool and many of his most productive ideas rest firmly on the foundation of mathematical principles. This volume collects Peirce's most important writings on the subject, many appearing in print for the first time. Peirce's determination to understand matter, the cosmos, and "the grand design" of the universe remain relevant for contemporary students of science, technology, and symbolic logic.
Author |
: Patrick Suppes |
Publisher |
: Courier Corporation |
Total Pages |
: 340 |
Release |
: 2012-07-12 |
ISBN-10 |
: 9780486138053 |
ISBN-13 |
: 0486138054 |
Rating |
: 4/5 (53 Downloads) |
Synopsis Introduction to Logic by : Patrick Suppes
Part I of this coherent, well-organized text deals with formal principles of inference and definition. Part II explores elementary intuitive set theory, with separate chapters on sets, relations, and functions. Ideal for undergraduates.
Author |
: Edmund Husserl |
Publisher |
: |
Total Pages |
: 556 |
Release |
: 2014-09-01 |
ISBN-10 |
: 9401581487 |
ISBN-13 |
: 9789401581486 |
Rating |
: 4/5 (87 Downloads) |
Synopsis Early Writings in the Philosophy of Logic and Mathematics by : Edmund Husserl
Author |
: Imre Lakatos |
Publisher |
: Cambridge University Press |
Total Pages |
: 190 |
Release |
: 1976 |
ISBN-10 |
: 0521290384 |
ISBN-13 |
: 9780521290388 |
Rating |
: 4/5 (84 Downloads) |
Synopsis Proofs and Refutations by : Imre Lakatos
Proofs and Refutations is for those interested in the methodology, philosophy and history of mathematics.
Author |
: Mark Kac |
Publisher |
: Courier Corporation |
Total Pages |
: 189 |
Release |
: 1992-01-01 |
ISBN-10 |
: 9780486670850 |
ISBN-13 |
: 0486670856 |
Rating |
: 4/5 (50 Downloads) |
Synopsis Mathematics and Logic by : Mark Kac
Fascinating study of the origin and nature of mathematical thought, including relation of mathematics and science, 20th-century developments, impact of computers, and more.Includes 34 illustrations. 1968 edition."
Author |
: Charles D. Parsons |
Publisher |
: Cornell University Press |
Total Pages |
: 367 |
Release |
: 2018-08-06 |
ISBN-10 |
: 9781501729324 |
ISBN-13 |
: 1501729322 |
Rating |
: 4/5 (24 Downloads) |
Synopsis Mathematics in Philosophy by : Charles D. Parsons
This important book by a major American philosopher brings together eleven essays treating problems in logic and the philosophy of mathematics. A common point of view, that mathematical thought is central to our thought in general, underlies the essays. In his introduction, Parsons articulates that point of view and relates it to past and recent discussions of the foundations of mathematics. Mathematics in Philosophy is divided into three parts. Ontology—the question of the nature and extent of existence assumptions in mathematics—is the subject of Part One and recurs elsewhere. Part Two consists of essays on two important historical figures, Kant and Frege, and one contemporary, W. V. Quine. Part Three contains essays on the three interrelated notions of set, class, and truth.