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''The Foundations of Mathematics: A Contribution to the Philosophy of Geometry'' is a philosophical work by Paul Carus that explores the fundamental principles of mathematics and their relationship to geometry. The book discusses the nature of mathematical concepts and their origins, as well as the role of axioms and postulates in mathematical reasoning. Carus also examines the philosophical implications of different geometries, including Euclidean and non-Euclidean geometries, and their impact on our understanding of the physical world. Through a rigorous analysis of mathematical concepts and their philosophical implications, ''The Foundations of Mathematics'' offers a unique perspective on the nature of mathematical knowledge and its significance for our understanding of the world around us.This scarce antiquarian book is a facsimile reprint of the old original and may contain some imperfections such as library marks and notations. Because we believe this work is culturally important, we have made it available as part of our commitment for protecting, preserving, and promoting the world’s literature in affordable, high quality, modern editions, that are true to their original work.