Buch, Englisch, Band 286, 395 Seiten, Previously published in hardcover, Format (B × H): 155 mm x 235 mm, Gewicht: 622 g
Reihe: Synthese Library
Problems of Completeness and Decidability, Gödel's Theorems
Buch, Englisch, Band 286, 395 Seiten, Previously published in hardcover, Format (B × H): 155 mm x 235 mm, Gewicht: 622 g
Reihe: Synthese Library
ISBN: 978-90-481-5298-8
Verlag: Springer Netherlands
Recursive Functions and Metamathematics deals with problems of the completeness and decidability of theories, using as its main tool the theory of recursive functions. This theory is first introduced and discussed. Then Gödel's incompleteness theorems are presented, together with generalizations, strengthenings, and the decidability theory. The book also considers the historical and philosophical context of these issues and their philosophical and methodological consequences. Recent results and trends have been included, such as undecidable sentences of mathematical content, reverse mathematics. All the main results are presented in detail. The book is self-contained and presupposes only some knowledge of elementary mathematical logic. There is an extensive bibliography.
Readership: Scholars and advanced students of logic, mathematics, philosophy of science.
Zielgruppe
Research
Autoren/Hrsg.
Fachgebiete
- Geisteswissenschaften Philosophie Wissenschaftstheorie, Wissenschaftsphilosophie
- Geisteswissenschaften Philosophie Philosophische Logik, Argumentationstheorie
- Mathematik | Informatik Mathematik Mathematik Allgemein Grundlagen der Mathematik
- Mathematik | Informatik Mathematik Mathematik Allgemein Philosophie der Mathematik
- Interdisziplinäres Wissenschaften Wissenschaften: Allgemeines Wissenschaften: Theorie, Epistemologie, Methodik
- Geisteswissenschaften Philosophie Philosophie der Mathematik, Philosophie der Physik
- Mathematik | Informatik EDV | Informatik Informatik Logik, formale Sprachen, Automaten
- Mathematik | Informatik Mathematik Mathematik Allgemein Mathematische Logik
Weitere Infos & Material
1 Recursive Functions.- 2 Gödel’s Incompleteness Theorems.- 3 Decidability Theory.- 4 Philosophical Comments.- List of Symbols.
