James T. Smith
The Legacy of Mario Pieri
in Foundations and Philosophy of Mathematics
Chapter 10
Central Themes and Impact
of Pieri's Work
Hyperlinks
page | ||||
10.0 | Introduction | 465 | comments | |
10.1 | Philosophical Themes in Pieri's Research | 466 | comments | |
10.2 | Themes in Foundations of Geometry | 467 | comments | |
10.2.1 Geometry as an Abstract Science | 469 | comments | ||
10.2.2 Geometry from a Synthetic Perspective | 471 | comments | ||
10.2.3 Geometry from a Transformational Point of View | 472 | comments | ||
10.2.4 Geometries Constructed as Autonomous Disciplines | 474 | comments | ||
10.2.5 Continuity and Archimedean Principles | 476 | comments | ||
10.2.6 Minimizing the Number of Primitive Notions | 478 | comments | ||
10.3 | Pedagogical Themes | 481 | comments | |
10.4 | Pieri's Impact | 485 | comments | |
10.4.1 Philosophy | 485 | comments | ||
10.4.2 Foundations of Geometry | 488 | comments | ||
10.4.3 Pedagogy | 497 | comments | ||
10.5 | Opportunities for Future Research | 499 | comments | |
total | 42 |
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