0000000000214447
AUTHOR
Elena Anne Marchisotto
showing 9 related works from this author
Pieri’s 1900 Paris Paper
2021
This chapter contains an English translation of Mario Pieri’s [1900] 1901 paper Geometry Envisioned as a Purely Logical System.
Pieri’s Works on Foundations and Philosophy of Mathematics
2021
This chapter discusses Pieri’s individual published works on foundations and philosophy of mathematics, as well as his unpublished but surviving classroom materials on projective and descriptive geometry.
Pieri’s Contributions to Foundations and Philosophy of Mathematics
2021
The research of Mario Pieri (1860–1913) was widely known and valued in his lifetime. With the passage of time it largely faded from view, save for the recent attention of a relatively small number of scholars.
Pieri’s 1900 Point-and-Motion Memoir
2021
This chapter contains an English translation of Mario Pieri’s 1900a memoir, On Elementary Geometry as a Hypothetical Deductive System: Monograph on Point and on Motion.1 By elementary geometry, Pieri meant Euclidean geometry as taught then in elementary courses, except for the theorems dependent on the Euclidean parallel axiom.
Pieri’s 1898 Geometry of Position Memoir
2021
This chapter contains an English translation of Mario Pieri’s 1898c memoir, The Principles of the Geometry of Position Composed into a Deductive Logical System,1 his most important contribution to the foundations of projective geometry.
Pieri and Projective Geometry
2021
Projective geometry can be described as the geometry of the straightedge, in comparison with Euclid’s geometry of straightedge and compass.
Two Paths to Logical Consequence: Pieri and the Peano School
2021
This chapter1 has two main goals. First, it will explore the “negative” avenue leading from the concepts of independence and consistency to that of logical consequence.
Central Themes and Impact of Pieri’s Work
2021
The first book of this series, The Legacy of Mario Pieri in Geometry and Arithmetic (cited here as M&S 2007), presented an overview of Pieri’s life and research, and a deeper study of the background of his work in foundations of geometry and arithmetic.
Pieri's Philosophy of Deductive Sciences
2021
This chapter presents and discusses Mario Pieri’s main contributions to the philosophy of deductive, or formal, sciences.