Leibniz on the Parallel Postulate and the Foundations of Geometry
Vincenzo De Risi
Gebundenes Buch

Leibniz on the Parallel Postulate and the Foundations of Geometry

The Unpublished Manuscripts

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This book offers a general introduction to the geometrical studies of Gottfried Wilhelm Leibniz (1646-1716) and his mathematical epistemology. In particular, it focuses on his theory of parallel lines and his attempts to prove the famous Parallel Postulate. Furthermore it explains the role that Leibniz's work played in the development of non-Euclidean geometry. The first part is an overview of his epistemology of geometry and a few of his geometrical findings, which puts them in the context of the seventeenth-century studies on the foundations of geometry. It also provides a detailed mathemati...