The Adventure of Reason
Interplay Between Philosophy of Mathematics and Mathematical Logic, 1900-1940
Seiten
2010
Oxford University Press (Verlag)
978-0-19-954653-4 (ISBN)
Oxford University Press (Verlag)
978-0-19-954653-4 (ISBN)
Paolo Mancosu presents an innovative set of studies of logic and the foundations of mathematics in the first half of the twentieth century. He sheds new light on important topics such as the relationship between phenomenology and the exact sciences, the nature of truth and logical consequence, and the nature of mathematical intuition.
Paolo Mancosu presents a series of innovative studies in the history and the philosophy of logic and mathematics in the first half of the twentieth century. The Adventure of Reason 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). Mancosu exploits extensive untapped archival sources to make available a wealth of new material that deepens in significant ways our understanding of these fascinating areas of modern intellectual history. At the same time, the book is a contribution to recent philosophical debates, in particular on the prospects for a successful nominalist reconstruction of mathematics, the nature of finitist intuition, the viability of alternative definitions of logical consequence, and the extent to which phenomenology can hope to account for the exact sciences.
Paolo Mancosu presents a series of innovative studies in the history and the philosophy of logic and mathematics in the first half of the twentieth century. The Adventure of Reason 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). Mancosu exploits extensive untapped archival sources to make available a wealth of new material that deepens in significant ways our understanding of these fascinating areas of modern intellectual history. At the same time, the book is a contribution to recent philosophical debates, in particular on the prospects for a successful nominalist reconstruction of mathematics, the nature of finitist intuition, the viability of alternative definitions of logical consequence, and the extent to which phenomenology can hope to account for the exact sciences.
Paolo Mancosu is Professor of Philosophy at University of California Berkeley. His main interests are in logic, history and philosophy of mathematics, and history and philosophy of logic.
PART 1: HISTORY OF LOGIC; OART 2: FOUNDATIONS OF MATHEMATICS; PART 3: PHENOMENOLOGY AND MATHEMATICS; PART 4: NOMINALISM; PART 5: THE EMERGENCE OF SEMANTICS: TRUTH AND LOGICAL CONSEQUENCE
| Erscheint lt. Verlag | 18.11.2010 |
|---|---|
| Verlagsort | Oxford |
| Sprache | englisch |
| Maße | 181 x 254 mm |
| Gewicht | 1272 g |
| Themenwelt | Geisteswissenschaften ► Philosophie ► Logik |
| Geisteswissenschaften ► Philosophie ► Philosophie der Neuzeit | |
| Geisteswissenschaften ► Philosophie ► Sprachphilosophie | |
| Mathematik / Informatik ► Mathematik ► Geschichte der Mathematik | |
| Mathematik / Informatik ► Mathematik ► Logik / Mengenlehre | |
| ISBN-10 | 0-19-954653-3 / 0199546533 |
| ISBN-13 | 978-0-19-954653-4 / 9780199546534 |
| Zustand | Neuware |
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