The Italian mathematician Mario Pieri (1860-1913) played a major role in the development of algebraic geometry and foundations of mathematics around the turn of the twentieth century. This volume is the second in a series intended to make Pieri's research in diverse fields-mathematical logic and philosophy of mathematics, foundations of projective, inversive, and elementary geometry, algebraic and differential geometry, and vector analysis-accessible to today's scholars and to assess its importance (yet little recognized) in historical and modern contexts.

The Legacy of Mario Pieri in Foundations and Philosophy of Mathematics examines Pieri's underlying philosophy of mathematics and his research goals, highlighting one of his most influential achievements, his axiomatizations of projective and elementary geometry. Its chapters include three of Pieri's pioneering works, translated by the authors and appearing in English for the first time, as well as an analysis of the role of this research in its larger context. Together, these translations and the accompanying interpretation accurately capture Pieri's expository style, philosophical perspective, and his foundational research, which has influenced generations.

With an excellent index, exhaustive references, and engaging discussions that reveal Pieri's work in its historical context, this volume will appeal to scholars and advanced students interested in the history and philosophy of mathematics and logic, as well as readers with a general knowledge of geometry at the intermediate level.

The Italian mathematician Mario Pieri (18601913) played a major role in the development of algebraic geometry and foundations of mathematics around the turn of the twentieth century.  This volume is the second in a series intended to make Pieri's research in diverse fieldsmathematical logic and philosophy of mathematics, foundations of projective, inversive, and elementary geometry, algebraic and differential geometry, and vector analysisaccessible to today's scholars and to assess its importance (yet little recognized) in historical and modern contexts. 

The Legacy of Mario Pieri in Foundations and Philosophy of Mathematics examines Pieri's underlying philosophy of mathematics and his research goals, highlighting one of his most influential achievements, his axiomatizations of projective and elementary geometry. Its chapters include three of Pieri's pioneering works, translated by the authors and appearing in English for the first time, as well as an analysis of the role of this research in its larger context. Together, these translations and the accompanying interpretation accurately capture Pieri's expository style, philosophical perspective, and his foundational research, which has influenced generations.

With an excellent index, exhaustive references, and engaging discussions that reveal Pieri's work in its historical context, this volume will appeal to scholars and advanced students interested in the history and philosophy of mathematics and logic, as well as readers with a general knowledge of geometry at the intermediate level.

The Italian mathematician Mario Pieri (18601913) played an integral part in the research groups of Corrado Segre and Giuseppe Peano, and thus had a significant, yet somewhat underappreciated impact on several branches of mathematics, particularly on the development of the foundations of philosophy and mathematics in the years around the turn of the 20^th century. This book is the second in a series of three volumes that are dedicated to countering that neglect and comprehensively examining Pieri's life, mathematical work, and influence in such diverse fields as mathematical logic, algebraic geometry, number theory, inversive geometry, vector analysis, and differential geometry.

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.

Combining an engaging exposition, little-known historical information, exhaustive references and an excellent index, this text will be of interest to graduate students, researchers, and historians with a general knowledge of logic and advanced mathematics.

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.