Essays In The Philosophy And History Of Logic And Mathematics PDF Download
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Author | : Roman Murawski |
Publisher | : BRILL |
Total Pages | : 327 |
Release | : 2015-06-29 |
Genre | : Philosophy |
ISBN | : 9042030917 |
Download Essays in the Philosophy and History of Logic and Mathematics Book in PDF, ePub and Kindle
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.
Author | : Erich H Reck |
Publisher | : |
Total Pages | : 326 |
Release | : 2018-11-16 |
Genre | : Mathematics |
ISBN | : 9781848902879 |
Download Logic, Philosophy of Mathematics, and Their History Book in PDF, ePub and Kindle
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.
Author | : Charles D. Parsons |
Publisher | : Cornell University Press |
Total Pages | : 367 |
Release | : 2018-08-06 |
Genre | : Mathematics |
ISBN | : 1501729322 |
Download Mathematics in Philosophy Book in PDF, ePub and Kindle
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.
Author | : David DeVidi |
Publisher | : Springer Science & Business Media |
Total Pages | : 487 |
Release | : 2011-03-23 |
Genre | : Philosophy |
ISBN | : 9400702140 |
Download Logic, Mathematics, Philosophy, Vintage Enthusiasms Book in PDF, ePub and Kindle
The volume includes twenty-five research papers presented as gifts to John L. Bell to celebrate his 60th birthday by colleagues, former students, friends and admirers. Like Bell’s own work, the contributions cross boundaries into several inter-related fields. The contributions are new work by highly respected figures, several of whom are among the key figures in their fields. Some examples: in foundations of maths and logic (William Lawvere, Peter Aczel, Graham Priest, Giovanni Sambin); analytical philosophy (Michael Dummett, William Demopoulos), philosophy of science (Michael Redhead, Frank Arntzenius), philosophy of mathematics (Michael Hallett, John Mayberry, Daniel Isaacson) and decision theory and foundations of economics (Ken Bimore). Most articles are contributions to current philosophical debates, but contributions also include some new mathematical results, important historical surveys, and a translation by Wilfrid Hodges of a key work of arabic logic.
Author | : Francesco Ademollo |
Publisher | : Springer Nature |
Total Pages | : 455 |
Release | : 2022-07-04 |
Genre | : Philosophy |
ISBN | : 3030973034 |
Download Thinking and Calculating Book in PDF, ePub and Kindle
This volume collects 22 essays on the history of logic written by outstanding specialists in the field. The book was originally prompted by the 2018-2019 celebrations in honor of Massimo Mugnai, a world-renowned historian of logic, whose contributions on Medieval and Modern logic, and to the understanding of the logical writings of Leibniz in particular, have shaped the field in the last four decades. Given the large number of recent contributions in the history of logic that have some connections or debts with Mugnai’s work, the editors have attempted to produce a volume showing the vastness of the development of logic throughout the centuries. We hope that such a volume may help both the specialist and the student to realize the complexity of the history of logic, the large array of problems that were touched by the discipline, and the manifold relations that logic entertained with other subjects in the course of the centuries. The contributions of the volume, in fact, span from Antiquity to the Modern Age, from semantics to linguistics and proof theory, from the discussion of technical problems to deep metaphysical questions, and in it the history of logic is kept in dialogue with the history of mathematics, economics, and the moral sciences at large.
Author | : J. Ferreiros |
Publisher | : OUP Oxford |
Total Pages | : 456 |
Release | : 2006-04-27 |
Genre | : Mathematics |
ISBN | : 0191513792 |
Download The Architecture of Modern Mathematics Book in PDF, ePub and Kindle
This edited volume, aimed at both students and researchers in philosophy, mathematics and history of science, highlights leading developments in the overlapping areas of philosophy and the history of modern mathematics. It is a coherent, wide ranging account of how a number of topics in the philosophy of mathematics must be reconsidered in the light of the latest historical research, and how a number of historical accounts can be deepened by embracing philosophical questions.
Author | : Stewart Shapiro |
Publisher | : OUP USA |
Total Pages | : 850 |
Release | : 2005-02-10 |
Genre | : Mathematics |
ISBN | : 0195148770 |
Download The Oxford Handbook of Philosophy of Mathematics and Logic Book in PDF, ePub and Kindle
Covers the state of the art in the philosophy of maths and logic, giving the reader an overview of the major problems, positions, and battle lines. The chapters in this book contain both exposition and criticism as well as substantial development of their own positions. It also includes a bibliography.
Author | : Geoffrey Hellman |
Publisher | : Cambridge University Press |
Total Pages | : 296 |
Release | : 2021-02-04 |
Genre | : Science |
ISBN | : 1316999602 |
Download Mathematics and Its Logics Book in PDF, ePub and Kindle
In these essays Geoffrey Hellman presents a strong case for a healthy pluralism in mathematics and its logics, supporting peaceful coexistence despite what appear to be contradictions between different systems, and positing different frameworks serving different legitimate purposes. The essays refine and extend Hellman's modal-structuralist account of mathematics, developing a height-potentialist view of higher set theory which recognizes indefinite extendability of models and stages at which sets occur. In the first of three new essays written for this volume, Hellman shows how extendability can be deployed to derive the axiom of Infinity and that of Replacement, improving on earlier accounts; he also shows how extendability leads to attractive, novel resolutions of the set-theoretic paradoxes. Other essays explore advantages and limitations of restrictive systems - nominalist, predicativist, and constructivist. Also included are two essays, with Solomon Feferman, on predicative foundations of arithmetic.
Author | : John P. Burgess |
Publisher | : Cambridge University Press |
Total Pages | : 253 |
Release | : 2008-02-21 |
Genre | : Science |
ISBN | : 113947054X |
Download Mathematics, Models, and Modality Book in PDF, ePub and Kindle
John Burgess is the author of a rich and creative body of work which seeks to defend classical logic and mathematics through counter-criticism of their nominalist, intuitionist, relevantist, and other critics. This selection of his essays, which spans twenty-five years, addresses key topics including nominalism, neo-logicism, intuitionism, modal logic, analyticity, and translation. An introduction sets the essays in context and offers a retrospective appraisal of their aims. The volume will be of interest to a wide range of readers across philosophy of mathematics, logic, and philosophy of language.
Author | : Hilary Putnam |
Publisher | : Routledge |
Total Pages | : 86 |
Release | : 2014-04-04 |
Genre | : Philosophy |
ISBN | : 1317832582 |
Download Philosophy of Logic (Routledge Revivals) Book in PDF, ePub and Kindle
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.