Mathematics in Philosophy - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Mathematics in Philosophy write by Charles D. Parsons. This book was released on 2018-08-06. Mathematics in Philosophy available 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.
Logic Without Borders
Logic Without Borders - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Logic Without Borders write by Åsa Hirvonen. This book was released on 2015-03-10. Logic Without Borders available in PDF, EPUB and Kindle. In recent years, mathematical logic has developed in many directions, the initial unity of its subject matter giving way to a myriad of seemingly unrelated areas. The articles collected here, which range from historical scholarship to recent research in geometric model theory, squarely address this development. These articles also connect to the diverse work of Väänänen, whose ecumenical approach to logic reflects the unity of the discipline.
Mathematics and Its Logics
Mathematics and Its Logics - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Mathematics and Its Logics write by Geoffrey Hellman. This book was released on 2021-02-04. Mathematics and Its Logics available 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.
Essays on mathematical and philosophical logic
Essays on mathematical and philosophical logic - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Essays on mathematical and philosophical logic write by Jaakko Hintikka. This book was released on 1976. Essays on mathematical and philosophical logic available in PDF, EPUB and Kindle.
Logic, Philosophy of Mathematics, and Their History
Logic, Philosophy of Mathematics, and Their History - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Logic, Philosophy of Mathematics, and Their History write by Erich H Reck. This book was released on 2018-11-16. Logic, Philosophy of Mathematics, and Their History available 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.
