Das Buch ist derzeit nicht auf Lager
Mehr zum Buch
The book explores the application of mathematical logic through two distinct approaches: set theory and proof theory. In the first part, Gaisi Takeuti utilizes Scott-Solovay's Boolean-valued models to enhance analysis with complete Boolean algebras of projections. The second part focuses on classical and complex analysis within Peano's arithmetic, demonstrating that any theorem from analytic number theory can also be derived in Peano's framework, employing Gentzen's cut elimination theorem to strengthen the connections between these mathematical disciplines.
Buchkauf
Two Applications of Logic to Mathematics, Gaisi Takeuti
- Sprache
- Erscheinungsdatum
- 2015
- product-detail.submit-box.info.binding
- (Paperback)
Wir benachrichtigen dich per E-Mail.
Lieferung
Zahlungsmethoden
Feedback senden
- Titel
- Two Applications of Logic to Mathematics
- Sprache
- Englisch
- Autor*innen
- Gaisi Takeuti
- Erscheinungsdatum
- 2015
- Einband
- Paperback
- Seitenzahl
- 148
- ISBN13
- 9780691610221
- Kategorie
- Mathematik
- Beschreibung
- The book explores the application of mathematical logic through two distinct approaches: set theory and proof theory. In the first part, Gaisi Takeuti utilizes Scott-Solovay's Boolean-valued models to enhance analysis with complete Boolean algebras of projections. The second part focuses on classical and complex analysis within Peano's arithmetic, demonstrating that any theorem from analytic number theory can also be derived in Peano's framework, employing Gentzen's cut elimination theorem to strengthen the connections between these mathematical disciplines.