Umfang:
1 Online-Ressource (343 pages)
ISBN:
9789042030916
Serie:
Poznań studies in the philosophy of the sciences and the humanities v. 98
Inhalt:
Preliminary material /Editors Essays in the Philosophy and History of Logic and Mathematics -- CANTOR’S PHILOSOPHY OF SET THEORY /Editors Essays in the Philosophy and History of Logic and Mathematics -- LEIBNIZ’S AND KANT’S PHILOSOPHICAL IDEAS VS. HILBERT’S PROGRAM /Editors Essays in the Philosophy and History of Logic and Mathematics -- TRUTH VS. PROVABILITY. PHILOSOPHICAL AND HISTORICAL REMARKS /Editors Essays in the Philosophy and History of Logic and Mathematics -- PHILOSOPHY OF MATHEMATICS IN THE 20TH CENTURY. MAIN TRENDS AND DOCTRINES /Editors Essays in the Philosophy and History of Logic and Mathematics -- ON NEW TRENDS IN THE PHILOSOPHY OF MATHEMATICS /Editors Essays in the Philosophy and History of Logic and Mathematics -- REMARKS ON THE STRUCTURALISTIC EPISTEMOLOGY OF MATHEMATICS /Izabela Bondecka-Krzykowska -- FROM THE HISTORY OF THE CONCEPT OF NUMBER /Thomas Bedürftig -- CHURCH’S THESIS AND ITS EPISTEMOLOGICAL STATUS /Editors Essays in the Philosophy and History of Logic and Mathematics -- PHENOMENOLOGY AND PHILOSOPHY OF MATHEMATICS /Editors Essays in the Philosophy and History of Logic and Mathematics -- HOENE-WROŃSKI – GENIUS OR MADMAN? /Editors Essays in the Philosophy and History of Logic and Mathematics -- GRASSMANN’S CONTRIBUTION TO MATHEMATICS /Editors Essays in the Philosophy and History of Logic and Mathematics -- GIUSEPPE PEANO AND SYMBOLIC LOGIC /Editors Essays in the Philosophy and History of Logic and Mathematics -- E.L. POST AND THE DEVELOPMENT OF LOGIC /Editors Essays in the Philosophy and History of Logic and Mathematics -- JOHN VON NEUMANN AND HILBERT’S SCHOOL /Editors Essays in the Philosophy and History of Logic and Mathematics -- CONTRIBUTION OF POLISH LOGICIANS TO DECIDABILITY THEORY /Editors Essays in the Philosophy and History of Logic and Mathematics -- CONTRIBUTION OF POLISH LOGICIANS TO PREDICATE CALCULUS /Editors Essays in the Philosophy and History of Logic and Mathematics -- THE ENGLISH ALGEBRA OF LOGIC IN THE 19TH CENTURY /Editors Essays in the Philosophy and History of Logic and Mathematics -- THE DEVELOPMENT OF SYMBOLISM IN LOGIC AND ITS PHILOSOPHICAL BACKGROUND /Thomas Bedürftig -- REFERENCES /Editors Essays in the Philosophy and History of Logic and Mathematics -- ACKNOWLEDGEMENTS /Editors Essays in the Philosophy and History of Logic and Mathematics -- NAME INDEX /Editors Essays in the Philosophy and History of Logic and Mathematics.
Inhalt:
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
Anmerkung:
A collection of previously published essays; those originally written in Polish have been translated into English for this publication
,
Includes bibliographical references (p. 301-334) and index
Weitere Ausg.:
ISBN 9789042030909
Weitere Ausg.:
Erscheint auch als Druck-Ausgabe Murawski, Roman Essays in the philosophy and history of logic and mathematics Amsterdam [etc.] : Rodopi, 2010 ISBN 9789042030909
Sprache:
Englisch
Schlagwort(e):
Electronic books
DOI:
10.1163/9789042030916
