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Author : Stuart G. Shanker
Publisher : Taylor & Francis
Page : 508 pages
File Size : 47,9 Mb
Release : 2023-05-09
Category : Philosophy
ISBN : 9781000949698
The twentieth century witnessed the birth of analytic philosophy. This volume covers some of its key movements and philosophers, including Frege and Wittgenstein's Tractatus.
Author : Stuart G. Shanker
Publisher : Psychology Press
Page : 461 pages
File Size : 49,9 Mb
Release : 2003
Category : Philosophy
ISBN : 041530881X
Contents - Introduction. 1. Philosophy of logic 2. Philosophy of mathematics in the 20th century. 3. Frege 4. Wittgenstein's Tractatus 5. Logical postivism 6. The philosophy of physics 7. The philosophy of science 8. Chance, cause and conduct; probability
Author : Stuart Shanker
Publisher : Unknown
Page : 461 pages
File Size : 44,9 Mb
Release : 1996
Category : Logic
ISBN : OCLC:237067212
Author : S. G. Shanker
Publisher : Routledge
Page : 500 pages
File Size : 45,9 Mb
Release : 2003-09-02
Category : Philosophy
ISBN : 9781134393374
Volume 9 of the Routledge History of Philosophy surveys ten key topics in the philosophy of science, logic and mathematics in the twentieth century. Each of the essays is written by one of the world's leading experts in that field. Among the topics covered are the philosophy of logic, of mathematics and of Gottlob Frege; Ludwig Wittgenstein's Tractatus; a survey of logical positivism; the philosophy of physics and of science; probability theory, cybernetics and an essay on the mechanist/vitalist debates. The volume also contains a helpful chronology to the major scientific and philosophical events in the twentieth century. It also provides an extensive glossary of technical terms in the notes on major figures in these fields.
Author : Charles Parsons
Publisher : Harvard University Press
Page : 331 pages
File Size : 46,6 Mb
Release : 2014-03-17
Category : Philosophy
ISBN : 9780674419506
In this illuminating collection, Charles Parsons surveys the contributions of philosophers and mathematicians who shaped the philosophy of mathematics over the course of the past century. Parsons begins with a discussion of the Kantian legacy in the work of L. E. J. Brouwer, David Hilbert, and Paul Bernays, shedding light on how Bernays revised his philosophy after his collaboration with Hilbert. He considers Hermann Weyl’s idea of a “vicious circle” in the foundations of mathematics, a radical claim that elicited many challenges. Turning to Kurt Gödel, whose incompleteness theorem transformed debate on the foundations of mathematics and brought mathematical logic to maturity, Parsons discusses his essay on Bertrand Russell’s mathematical logic—Gödel’s first mature philosophical statement and an avowal of his Platonistic view. Philosophy of Mathematics in the Twentieth Century insightfully treats the contributions of figures the author knew personally: W. V. Quine, Hilary Putnam, Hao Wang, and William Tait. Quine’s early work on ontology is explored, as is his nominalistic view of predication and his use of the genetic method of explanation in the late work The Roots of Reference. Parsons attempts to tease out Putnam’s views on existence and ontology, especially in relation to logic and mathematics. Wang’s contributions to subjects ranging from the concept of set, minds, and machines to the interpretation of Gödel are examined, as are Tait’s axiomatic conception of mathematics, his minimalist realism, and his thoughts on historical figures.
Author : Gerald E Sacks
Publisher : World Scientific
Page : 710 pages
File Size : 40,9 Mb
Release : 2003-08-13
Category : Mathematics
ISBN : 9789814490191
This invaluable book is a collection of 31 important — both in ideas and results — papers published by mathematical logicians in the 20th Century. The papers have been selected by Professor Gerald E Sacks. Some of the authors are Gödel, Kleene, Tarski, A Robinson, Kreisel, Cohen, Morley, Shelah, Hrushovski and Woodin.
Author : Johan van Benthem,Gerhard Heinzmann,Manuel Rebuschi,Henk Visser
Publisher : Springer Science & Business Media
Page : 338 pages
File Size : 42,7 Mb
Release : 2006-10-07
Category : Philosophy
ISBN : 9781402050121
In the last century, developments in mathematics, philosophy, physics, computer science, economics and linguistics have proven important for the development of logic. There has been an influx of new ideas, concerns, and logical systems reflecting a great variety of reasoning tasks in the sciences. This book embodies the multi-dimensional interplay between logic and science, presenting contributions from the world's leading scholars on new trends and possible developments for research.
Author : Woosuk Park
Publisher : Springer
Page : 230 pages
File Size : 40,8 Mb
Release : 2018-07-12
Category : Philosophy
ISBN : 9783319951478
This book offers a historical explanation of important philosophical problems in logic and mathematics, which have been neglected by the official history of modern logic. It offers extensive information on Gottlob Frege’s logic, discussing which aspects of his logic can be considered truly innovative in its revolution against the Aristotelian logic. It presents the work of Hilbert and his associates and followers with the aim of understanding the revolutionary change in the axiomatic method. Moreover, it offers useful tools to understand Tarski’s and Gödel’s work, explaining why the problems they discussed are still unsolved. Finally, the book reports on some of the most influential positions in contemporary philosophy of mathematics, i.e., Maddy’s mathematical naturalism and Shapiro’s mathematical structuralism. Last but not least, the book introduces Biancani’s Aristotelian philosophy of mathematics as this is considered important to understand current philosophical issue in the applications of mathematics. One of the main purposes of the book is to stimulate readers to reconsider the Aristotelian position, which disappeared almost completely from the scene in logic and mathematics in the early twentieth century.
Author : Hans Halvorson
Publisher : Cambridge University Press
Page : 305 pages
File Size : 47,8 Mb
Release : 2019-07-11
Category : Philosophy
ISBN : 9781107110991
Reconsiders the role of formal logic in the analytic approach to philosophy, using cutting-edge mathematical techniques to elucidate twentieth-century debates.
Author : Thomas Drucker
Publisher : Springer Science & Business Media
Page : 218 pages
File Size : 49,8 Mb
Release : 2009-05-21
Category : Mathematics
ISBN : 9780817647698
This volume offers insights into the development of mathematical logic over the last century. Arising from a special session of the history of logic at an American Mathematical Society meeting, the chapters explore technical innovations, the philosophical consequences of work during the period, and the historical and social context in which the logicians worked. The discussions herein will appeal to mathematical logicians and historians of mathematics, as well as philosophers and historians of science.
Author : Vincenzo De Risi
Publisher : Springer Nature
Page : 304 pages
File Size : 42,8 Mb
Release : 2020-01-01
Category : Science
ISBN : 9783030255725
The book offers a collection of essays on various aspects of Leibniz’s scientific thought, written by historians of science and world-leading experts on Leibniz. The essays deal with a vast array of topics on the exact sciences: Leibniz’s logic, mereology, the notion of infinity and cardinality, the foundations of geometry, the theory of curves and differential geometry, and finally dynamics and general epistemology. Several chapters attempt a reading of Leibniz’s scientific works through modern mathematical tools, and compare Leibniz’s results in these fields with 19th- and 20th-Century conceptions of them. All of them have special care in framing Leibniz’s work in historical context, and sometimes offer wider historical perspectives that go much beyond Leibniz’s researches. A special emphasis is given to effective mathematical practice rather than purely epistemological thought. The book is addressed to all scholars of the exact sciences who have an interest in historical research and Leibniz in particular, and may be useful to historians of mathematics, physics, and epistemology, mathematicians with historical interests, and philosophers of science at large.
Author : G. H. R. Parkinson,S. G. Shanker
Publisher : Unknown
Page : 0 pages
File Size : 40,8 Mb
Release : 1999-02
Category : Philosophy
ISBN : 0415447968
A complete 10 volume set of the Routledge History of Philosophy, which has established itself as the most comprehensive chronological survey of the history of western philosophy available.
Author : P. Mancosu,Klaus Frovin Jørgensen,S.A. Pedersen
Publisher : Springer Science & Business Media
Page : 315 pages
File Size : 43,9 Mb
Release : 2006-03-30
Category : Mathematics
ISBN : 9781402033353
In the 20th century philosophy of mathematics has to a great extent been dominated by views developed during the so-called foundational crisis in the beginning of that century. These views have primarily focused on questions pertaining to the logical structure of mathematics and questions regarding the justi?cation and consistency of mathematics. Paradigmatic in this - spect is Hilbert’s program which inherits from Frege and Russell the project to formalize all areas of ordinary mathematics and then adds the requi- ment of a proof, by epistemically privileged means (?nitistic reasoning), of the consistency of such formalized theories. While interest in modi?ed v- sions of the original foundational programs is still thriving, in the second part of the twentieth century several philosophers and historians of mat- matics have questioned whether such foundational programs could exhaust the realm of important philosophical problems to be raised about the nature of mathematics. Some have done so in open confrontation (and hostility) to the logically based analysis of mathematics which characterized the cl- sical foundational programs, while others (and many of the contributors to this book belong to this tradition) have only called for an extension of the range of questions and problems that should be raised in connection with an understanding of mathematics. The focus has turned thus to a consideration of what mathematicians are actually doing when they produce mathematics. Questions concerning concept-formation, understanding, heuristics, changes instyle of reasoning, the role of analogies and diagrams etc.
Author : Roman Murawski
Publisher : BRILL
Page : 327 pages
File Size : 49,7 Mb
Release : 2015-06-29
Category : Philosophy
ISBN : 9789042030916
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 : Petr Hájek,Luis Valdés-Villanueva,Dag Westerståhl
Publisher : College PressPub Company
Page : 689 pages
File Size : 55,9 Mb
Release : 2005
Category : Computers
ISBN : 1904987214
This book collects most of the invited papers presented at the 12th International Congress of Logic, Methodology and Philosophy of Science in Oviedo, August 2003. It contains state of the art accounts of ongoing work by a selection of the most renowned researchers in the field. The papers in the Logic section deal with topics in mathematical logic, as well as philosophical logic, and the area of logic and computation. The section on General Methodology contains articles on models, theories, probability, induction, causation, and other topics. A number of papers discuss Philosophical Issues of Particular Sciences, such as mathematics, physics, linguistics, psychology, biology, and medicine. There is also a section on Ethics of Science, and papers from a special symposium on the Emergence of Scientific Medicine in the 19th-20th Century.
