The Legacy of Mario Pieri in Foundations and Philosophy of Mathematics

Elena Anne Corie Marchisotto, Francisco Rodríguez-Consuegra, James T. Smith (Autoren)

Buch | Hardcover

603 Seiten

2021 | 1st ed. 2021
Birkhauser Boston Inc (Verlag)
978-0-8176-4822-0 (ISBN)

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Mario Pieri on the Foundations of Philosophy and Mathematics introduces readers to Pieri’s career and his studies in foundations, from both historical and modern viewpoints, placing his life and research in context and tracing his influence on his contemporaries as well as more recent mathematicians. The text also includes translations and commentary on Pieri’s original analyses on projective geometry, transformational geometry.

Preface.- Pieri's Contributions to Foundations and Philosophy of Mathematics.- Pieri's Philosophy of Deductive Sciences.- Two Paths to Logical Consequence: Pieri and the Peano School.- Pieri's 1900 Paris Paper.- Pieri and Projective Geometry.- Pieri's 1898 Geometry of Position Memoir.- Transformational Geometry.- Pieri's 1900 Point-and-Motion Memoir.- Pieri's Works on Foundations and Philosophy of Mathematics.- Central Themes and Impact of Pieri's Work.- Bibliography.- Index.

Erscheint lt. Verlag	7.5.2021
Zusatzinfo	23 Tables, color; 21 Illustrations, color; 41 Illustrations, black and white; XXIV, 603 p. 62 illus., 21 illus. in color.
Verlagsort	Secaucus
Sprache	englisch
Maße	178 x 254 mm
Gewicht	1502 g
Themenwelt	Mathematik / Informatik ► Mathematik ► Allgemeines / Lexika
	Mathematik / Informatik ► Mathematik ► Geschichte der Mathematik
	Naturwissenschaften
Schlagworte	Algebraic Geometry • axiomatic geometry • Axiomatic method geometry • Descriptive Geometry • elementary geometry • Geometry axiomatic system • Geometry history • GKC von Staudt • Homography geometry • Hypothetical deductive system • inversive geometry • Italy mathematics history • Logicism mathematics • Mario Pieri • Mathematical Logic • Number Theory • Peano math • Projective Geometry • transformational geometry
ISBN-10	0-8176-4822-4 / 0817648224
ISBN-13	978-0-8176-4822-0 / 9780817648220
Zustand	Neuware