Extension and Measurement: A Constructivist Program from Leibniz to Grassmann

Abstract
Extension is probably the most general natural property. Is it a fundamental property? Leibniz claimed the answer was no, and that the structureless intuition of extension concealed more fundamental properties and relations. This paper follows Leibniz's program through Herbart and Riemann to Grassmann and uses Grassmann's algebra of points to build up levels of extensions algebraically. Finally, the connection between extension and measurement is considered.
Keywords space  constructivist  Leibniz  Grassmann  Riemann
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DOI 10.1016/j.shpsa.2012.07.011
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References found in this work BETA
Events.Roberto Casati & Achille C. Varzi - 2014 - Stanford Encyclopedia of Philosophy.
Kant, Herbart and Riemann.Erik C. Banks - 2005 - Kant-Studien 96 (2):208-234.
Some Philosophical Prehistory of General Relativity.Howard Stein - 1977 - In John Earman, Clark Glymour & John Stachel (eds.), Foundations of Space-Time Theories: Minnesota Studies in the Philosophy of Science. University of Minnesota Press. pp. 3-49.

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