Strict Finitism and the Logic of Mathematical Applications

• Κύριος συγγραφέας: Ye, Feng (Συγγραφέας)
• Συγγραφή απο Οργανισμό/Αρχή: SpringerLink (Online service)
• Μορφή: Ηλεκτρονική πηγή Ηλ. βιβλίο
• Γλώσσα: English
• Έκδοση: Dordrecht : Springer Netherlands : Imprint: Springer, 2011.
• Σειρά: Synthese Library, Studies in Epistemology, Logic, Methodology, and Philosophy of Science ; 355
• Θέματα: Philosophy.; Logic.; Philosophy and science.; Mathematical logic.; Philosophy of Science.; Mathematical Logic and Foundations.

This book intends to show that radical naturalism (or physicalism), nominalism and strict finitism account for the applications of classical mathematics in current scientific theories. The applied mathematical theories developed in the book include the basics of calculus, metric space theory, comple...

Πίνακας περιεχομένων:

• 1. Introduction
• 2. Strict Finitism
• 3. Calculus
• 4. Metric Space
• 5. Complex Analysis
• 6. Integration
• 7. Hilbert Space
• 8. Semi-Riemann Geometry.- References
• Index.