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The Adventure of Reason
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The Adventure of Reason: Interplay Between Philosophy of Mathematics and Mathematical Logic, 1900-1940

Paolo Mancosu

Abstract

The book contains innovative contributions to the history and the philosophy of logic and mathematics in the first half of the twentieth century. It is divided into five main sections: history of logic (from Russell to Tarski); foundational issues (Hilbert’s program, constructivity, Wittgenstein, Gödel); mathematics and phenomenology (Weyl, Becker, Mahnke); nominalism (Quine, Tarski); semantics (Tarski, Carnap, Neurath). The treatment exploits extensively untapped archival sources thereby making available a wealth of new material that deepens in significant ways our understanding of the above- ... More

Keywords: history of logic, philosophy of mathematics, Hilbert’s program, constructivism, logicism, phenomenology, nominalism, semantics, Vienna Circle

Bibliographic Information

Print publication date: 2010 Print ISBN-13: 9780199546534
Published to Oxford Scholarship Online: May 2011 DOI:10.1093/acprof:oso/9780199546534.001.0001

Authors

Affiliations are at time of print publication.

Paolo Mancosu, author
University of California Berkeley
Author Webpage

Contents

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PART I Mathematical Logic, 1900–1935

Part II Foundations of Mathematics

Part III Phenomenology and the Exact Sciences

Part IV Tarski and Quine on Nominalism

PART V Tarski and the Vienna Circle on Truth and Logical Consequence

End Matter