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Author : Giandomenico Sica
Publisher : Polimetrica s.a.s.
ISBN 13 : 8876990143
Total Pages : 353 pages
Book Rating : 4.44/5 ( download)
Download or read book Essays on the Foundations of Mathematics and Logic written by Giandomenico Sica and published by Polimetrica s.a.s.. This book was released on 2005 with total page 353 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Frank Plumpton Ramsey
Publisher : Routledge
ISBN 13 : 1134528108
Total Pages : 312 pages
Book Rating : 4.03/5 ( download)
Download or read book Foundations of Mathematics and other Logical Essays written by Frank Plumpton Ramsey and published by Routledge. This book was released on 2013-10-15 with total page 312 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is Volume V in a series of eight on the Philosophy of Logic and Mathematics. Originally published in 1931, this study offers a collection of logical essays around the topic of the foundations of mathematics. Though mathematical teaching was Ramsey's profession, philosophy was his vocation. Reared on the logic of Principia Mathematica, he was early to see the importance of Dr. Wittgenstein's work (in the translation of which he assisted); and his own published papers were largely based on this. But the previously unprinted essays and notes collected in this volume show him moving towards a kind of pragmatism, and the general treatise on logic upon which at various times he had been engaged was to have treated truth and knowledge as purely natural phenomena to be explained psychologically without recourse to distinctively logical relations.
Author : Charles Parsons
Publisher : Harvard University Press
ISBN 13 : 0674419499
Total Pages : 365 pages
Book Rating : 4.90/5 ( download)
Download or read book Philosophy of Mathematics in the Twentieth Century written by Charles Parsons and published by Harvard University Press. This book was released on 2014-03-10 with total page 365 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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 : Frank Plumpton Ramsey
Publisher : Routledge
ISBN 13 : 1134528035
Total Pages : 311 pages
Book Rating : 4.35/5 ( download)
Download or read book Foundations of Mathematics and other Logical Essays written by Frank Plumpton Ramsey and published by Routledge. This book was released on 2013-10-15 with total page 311 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is Volume V in a series of eight on the Philosophy of Logic and Mathematics. Originally published in 1931, this study offers a collection of logical essays around the topic of the foundations of mathematics. Though mathematical teaching was Ramsey's profession, philosophy was his vocation. Reared on the logic of Principia Mathematica, he was early to see the importance of Dr. Wittgenstein's work (in the translation of which he assisted); and his own published papers were largely based on this. But the previously unprinted essays and notes collected in this volume show him moving towards a kind of pragmatism, and the general treatise on logic upon which at various times he had been engaged was to have treated truth and knowledge as purely natural phenomena to be explained psychologically without recourse to distinctively logical relations.
Author : Frank Plumpton Ramsey
Publisher :
ISBN 13 :
Total Pages : 332 pages
Book Rating : 4.33/5 ( download)
Download or read book The Foundations of Mathematics and Other Logical Essays written by Frank Plumpton Ramsey and published by . This book was released on 1965 with total page 332 pages. Available in PDF, EPUB and Kindle. Book excerpt: Collection of works by Frank Plumpton Ramsey (1903-1930), who made seminal contributions to philosophy, mathematics and economics. Whilst he was acknowledged as a genius by his contemporaries, some of his most important ideas were not appreciated until decades later; now better appreciated, they continue to bear an influence upon contemporary philosophy. His historic significance was to usher in a new phase of analytic philosophy, which initially built upon the logical atomist doctrines of Bertrand Russell and Ludwig Wittgenstein, raising their ideas to a new level of sophistication, but ultimately he became their successor rather than remain a mere acolyte.
Author : Reuben Hersh
Publisher : Springer Science & Business Media
ISBN 13 : 0387298312
Total Pages : 346 pages
Book Rating : 4.13/5 ( download)
Download or read book 18 Unconventional Essays on the Nature of Mathematics written by Reuben Hersh and published by Springer Science & Business Media. This book was released on 2006-01-16 with total page 346 pages. Available in PDF, EPUB and Kindle. Book excerpt: Collection of the most interesting recent writings on the philosophy of mathematics written by highly respected researchers from philosophy, mathematics, physics, and chemistry Interdisciplinary book that will be useful in several fields—with a cross-disciplinary subject area, and contributions from researchers of various disciplines
Author : Wilfried Sieg
Publisher : Cambridge University Press
ISBN 13 : 1316998819
Total Pages : pages
Book Rating : 4.16/5 ( download)
Download or read book Reflections on the Foundations of Mathematics written by Wilfried Sieg and published by Cambridge University Press. This book was released on 2017-03-30 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: Since their inception, the Perspectives in Logic and Lecture Notes in Logic series have published seminal works by leading logicians. Many of the original books in the series have been unavailable for years, but they are now in print once again. This volume, the fifteenth publication in the Lecture Notes in Logic series, collects papers presented at the symposium 'Reflections on the Foundations of Mathematics' held in celebration of Solomon Feferman's 70th birthday (The 'Feferfest') at Stanford University, California in 1988. Feferman has shaped the field of foundational research for nearly half a century. These papers reflect his broad interests as well as his approach to foundational research, which emphasizes the solution of mathematical and philosophical problems. There are four sections, covering proof theoretic analysis, logic and computation, applicative and self-applicative theories, and philosophy of modern mathematical and logic thought.
Author : Geoffrey Hellman
Publisher : Cambridge University Press
ISBN 13 : 1316999602
Total Pages : 296 pages
Book Rating : 4.08/5 ( download)
Download or read book Mathematics and Its Logics written by Geoffrey Hellman and published by Cambridge University Press. This book was released on 2021-02-04 with total page 296 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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 : Jaakko Hintikka
Publisher : Springer Science & Business Media
ISBN 13 : 9401584788
Total Pages : 585 pages
Book Rating : 4.84/5 ( download)
Download or read book From Dedekind to Gödel written by Jaakko Hintikka and published by Springer Science & Business Media. This book was released on 2013-03-09 with total page 585 pages. Available in PDF, EPUB and Kindle. Book excerpt: Discussions of the foundations of mathematics and their history are frequently restricted to logical issues in a narrow sense, or else to traditional problems of analytic philosophy. From Dedekind to Gödel: Essays on the Development of the Foundations of Mathematics illustrates the much greater variety of the actual developments in the foundations during the period covered. The viewpoints that serve this purpose included the foundational ideas of working mathematicians, such as Kronecker, Dedekind, Borel and the early Hilbert, and the development of notions like model and modelling, arbitrary function, completeness, and non-Archimedean structures. The philosophers discussed include not only the household names in logic, but also Husserl, Wittgenstein and Ramsey. Needless to say, such logically-oriented thinkers as Frege, Russell and Gödel are not entirely neglected, either. Audience: Everybody interested in the philosophy and/or history of mathematics will find this book interesting, giving frequently novel insights.
Author : Charles D. Parsons
Publisher : Cornell University Press
ISBN 13 : 1501729322
Total Pages : 367 pages
Book Rating : 4.24/5 ( download)
Download or read book Mathematics in Philosophy written by Charles D. Parsons and published by Cornell University Press. This book was released on 2018-08-06 with total page 367 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
