Download Leibniz on the Parallel Postulate and the Foundations of by Vincenzo De Risi PDF

By Vincenzo De Risi

This ebook bargains a common advent to the geometrical stories of Gottfried Wilhelm Leibniz (1646-1716) and his mathematical epistemology. particularly, it specializes in his conception of parallel strains and his makes an attempt to end up the recognized Parallel Postulate. in addition it explains the position that Leibniz’s paintings performed within the improvement of non-Euclidean geometry. the 1st half is an outline of his epistemology of geometry and some of his geometrical findings, which places them within the context of the seventeenth-century experiences at the foundations of geometry. It additionally offers a close mathematical and philosophical statement on his writings at the conception of parallels, and discusses how they have been obtained within the eighteenth century in addition to their relevance for the non-Euclidean revolution in arithmetic. the second one half bargains a suite of Leibniz’s essays at the conception of parallels and an English translation of them. whereas some of these papers have already been released (in Latin) within the average Leibniz variants, so much of them are transcribed from Leibniz’s manuscripts written in Hannover, and released right here for the 1st time. The e-book offers new fabric at the heritage of non-Euclidean geometry, stressing the formerly overlooked function of Leibniz in those developments.

This quantity could be of curiosity to historians in arithmetic, philosophy or good judgment, in addition to mathematicians drawn to non-Euclidean geometry.

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