A study in the philosophy of science /
Saved in:
Corporate Authors: | |
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Group Author: | |
Published: |
Elsevier Science,
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Publisher Address: | Dodrecht : |
Publication Dates: | 1959. |
Literature type: | eBook |
Language: | English |
Series: |
Studies in Logic and the Foundations of Mathematics ;
v. 25 |
Subjects: | |
Online Access: |
http://www.sciencedirect.com/science/bookseries/0049237X/25 |
Carrier Form: | 1 online resource (xxviii, 731 pages). |
Bibliography: | Includes bibliographical references and indexes. |
ISBN: |
9780444533906 0444533907 |
Index Number: | Q175 |
CLC: | N02 |
Contents: | Prehistory of research into foundations -- Aristotle's theory of science -- Historical development of symbolic logic and formalised axiomatics -- Introduction -- Extension of the system of natural numbers -- Theory of natural numbers -- Axiomatics of fundamental theories of modern mathematics -- Introduction -- Survey of symbolic logic -- Finitary theory of proof -- Syntax -- Semantics -- Logicism -- Cantorism -- Intuitionism -- Nominalism -- Paradoxes of logic and set theory and their solution -- Completeness theorems for logical systems -- Calculus of systems and models -- Further applications of topological methods -- Theory of recursive functions and the negative results concerning the decision problem -- Metamathematics, philosophy of mathematics and general philosophy. |