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Justus Grassmann's Contributions to the Foundations of Mathematics: Mathematical and Philosophical Aspects

✍ Scribed by Mircea Radu

Publisher
Elsevier Science
Year
2000
Tongue
English
Weight
164 KB
Volume
27
Category
Article
ISSN
0315-0860

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✦ Synopsis

This paper explores Justus Grassmann's ideas concerning the foundations of mathematics as developed between 1806 and 1827. It begins with a discussion of the didactic and philosophical contexts of Grassmann's work. This is followed by an exposition of his ideas on the foundations of geometry and of his 1827 account of the foundations of mathematics. Particular attention is given to Grassmann's concept of construction (synthesis), which represents the basis of his entire thinking.

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