Essays on the Foundations of Mathematics by Moritz Pasch

• Συγγραφή απο Οργανισμό/Αρχή: SpringerLink (Online service)
• Άλλοι συγγραφείς: Pollard, Stephen (Επιμελητής έκδοσης)
• Μορφή: Ηλεκτρονική πηγή Ηλ. βιβλίο
• Γλώσσα: English
• Έκδοση: Dordrecht : Springer Netherlands : Imprint: Springer, 2010.
• Σειρά: The Western Ontario Series in Philosophy of Science, 83
• Θέματα: Mathematics.; Philosophy.; Philosophy and science.; History.; History of Mathematical Sciences.; Philosophy, general.; Philosophy of Science.

Moritz Pasch (1843-1930) is justly celebrated as a key figure in the history of axiomatic geometry. Less well known are his contributions to other areas of foundational research. This volume features English translations of 14 papers Pasch published in the decade 1917-1926. In them, Pasch argues tha...

Πίνακας περιεχομένων:

• Translator’s Introduction
• Fundamental Questions of Geometry
• The Decidability Requirement
• The Origin of the Concept of Number
• Implicit Definition and the Proper Grounding of Mathematics
• Rigid Bodies in Geometry
• Prelude to Geometry: The Essential Ideas
• Physical and Mathematical Geometry
• Natural Geometry
• The Concept of the Differential
• Reflections on the Proper Grounding of Mathematics I
• Concepts and Proofs in Mathematics
• Dimension and Space in Mathematics
• Reflections on the Proper Grounding of Mathematics II
• The Axiomatic Method in Modern Mathematics.