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 | : 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 | : 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 | : Charles Parsons |
| Publisher | : Harvard University Press |
| Total Pages | : 365 |
| Release | : 2014-03-10 |
| Genre | : Philosophy |
| ISBN | : 0674419499 |
Download Philosophy of Mathematics in the Twentieth Century Book in PDF, ePub and Kindle
In these selected essays, Charles Parsons surveys the contributions of philosophers and mathematicians who shaped the philosophy of mathematics over the past century: Brouwer, Hilbert, Bernays, Weyl, Gödel, Russell, Quine, Putnam, Wang, and Tait.
| 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 | : 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 | : K. Mulligan |
| Publisher | : Springer |
| Total Pages | : 324 |
| Release | : 2016-01-26 |
| Genre | : Philosophy |
| ISBN | : 1137030895 |
Download The History and Philosophy of Polish Logic Book in PDF, ePub and Kindle
The book presents the state of the art of research into the legacy of interwar Polish analytic philosophy and exemplifies different approaches to the history of philosophy. It contains discussions and reconstructions of aspects of Polish philosophy and logic as well as reactions to and developments of this tradition.
| Author | : Mojtaba Mojtahedi |
| Publisher | : Springer Nature |
| Total Pages | : 493 |
| Release | : 2021-02-09 |
| Genre | : Philosophy |
| ISBN | : 3030536548 |
Download Mathematics, Logic, and their Philosophies Book in PDF, ePub and Kindle
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.
