Article ID: CBB001211301

Extension and Measurement: A Constructivist Program from Leibniz to Grassmann (2013)

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A 19th century Leibniz-inspired program for constructing extension is identified. Extension is not a structureless intuition but a conceptual construction. Herbart, Riemann and Grassmann are identified with this constructive tradition. A new interpretation of the algebra and its relation to issues of measurement is proposed.

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Description On a new interpretation of algebra and its relation to issues of measurement.


Citation URI
https://data.isiscb.org/isis/citation/CBB001211301/

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Authors & Contributors
Knobloch, Eberhard
Scholz, Erhard
Beiser, Frederick C.
Darrigol, Olivier
Deng, Mingli
Gray, Jeremy
Journals
Historia Mathematica
Almagest
British Journal for the History of Philosophy
British Society for the History of Mathematics Bulletin
Configurations: A Journal of Literature, Science, and Technology
Dijalektika: Časopis za Metodološko-filozofske Probleme Matematičkih, Prirodnih i Tehničkih Nauka
Publishers
Columbia University
Aracne
Birkhäuser
Pantheon Books
Concepts
Mathematics
Algebra
Geometry
Physics
Controversies and disputes
Arithmetic
People
Riemann, Georg Friedrich Bernhard
Leibniz, Gottfried Wilhelm von
Herbart, Johann Friedrich
Descartes, René
Grassmann, Robert
Clebsch, Rudolf Friedrich Alfred
Time Periods
19th century
17th century
18th century
16th century
20th century
20th century, early
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