Screen LibraryOne hundred years of Russell's paradox : mathematics, logic, philosophy /
Die in diesem Band zusammengefassten Beitr ge stellen die wesentlichen Forschungsergebnisse der internationalen M nchner Konferenz "100 Jahre Russell-Paradoxon" im Jahr 2001 dar, auf der an die Entdeckung des ber hmten Russell Paradoxons vor 100 Jahren erinnert wurde. Die 31 Beitr ge und d...
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| Corporate Authors: | |
|---|---|
| Group Author: | |
| Published: |
De Gruyter,
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| Publisher Address: | Berlin ;Boston : |
| Publication Dates: |
[2008] ©2004 |
| Literature type: | eBook |
| Language: | English |
| Series: |
De gruyter series in logic and its applications ;
6 |
| Subjects: | |
| Online Access: |
http://dx.doi.org/10.1515/9783110199680 http://www.degruyter.com/doc/cover/9783110199680.jpg |
| Summary: |
Die in diesem Band zusammengefassten Beitr ge stellen die wesentlichen Forschungsergebnisse der internationalen M nchner Konferenz "100 Jahre Russell-Paradoxon" im Jahr 2001 dar, auf der an die Entdeckung des ber hmten Russell Paradoxons vor 100 Jahren erinnert wurde. Die 31 Beitr ge und der Einf hrungsessay des Herausgebers wurden alle - bis auf zwei Ausnahmen - urspr nglich f r diesen Band verfasst. |
| Carrier Form: | 1 online resource (671pages). |
| ISBN: | 9783110199680 |
| Index Number: | BC199 |
| CLC: | B812.5 |
| Contents: |
Frontmatter -- Table of Contents -- Introduction. Bertrand Russell The Invention of -- Mathematical Philosophy -- Set Theory after Russell: The Journey Back to -- Eden -- A Way Out -- Completeness and Iteration in Modern Set -- Theory -- Was sind und was sollen (neue) Axiome? -- Iterating Operations in Admissible Set Theory -- without Foundation: A Further Aspect of Metapredicative Mahlo -- Typical Ambiguity: Trying to Have Your Cake and Eat -- It Too -- Is ZF Finitistically Reducible? -- Inconsistency in the Real World -- Predicativity, Circularity, and -- Anti-Foundation -- Russell s Paradox and Diagonalization in a -- Constructive Context -- Constructive Solutions of Continuous -- Equations -- Russell s Paradox in Consistent Fragments of -- Frege s Grundgesetze der Arithmetik -- On a Russellian Paradox about Propositions and -- Truth -- The Consistency of the Naive Theory of -- Properties -- The Significance of the Largest and Smallest -- Numbers for the Oldest Paradoxes -- The Prehistory of Russell s Paradox -- Logicism s Insolubilia and Their Solution by -- Russell s Substitutional Theory -- Substitution and Types: Russell s Intermediate -- Propositional Ontology and Logical Atomism -- Classes of Classes and Classes of Functions in -- Principia Mathematica -- A Constructive Proper Extension of Ramified Type -- Theory (The Logic of Principia Mathematica, Second Edition, Appendix -- B) -- Russell on Method -- Paradoxes in G ttingen -- David Hilbert and Paul du Bois-Reymond: Limits and -- Ideals -- Russell s Paradox and Hilbert s (much Forgotten) -- View of Set Theory -- Objectivity: The Justification for -- Extrapolation -- Russell s Absolutism vs. (?) Structuralism -- Mathematicians and Mathematical Objects -- Russell s Paradox and Our Conception of Properties, -- or: Why Semantics Is no Proper Guide to the Nature of Properties -- The Many Lives of Ebenezer Wilkes Smith -- What Makes Expressions M |