Article ID: CBB001211301

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


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.


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

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Authors & Contributors
Knobloch, Eberhard
Gray, Jeremy
Scholz, Erhard
Radu, Mircea
Darrigol, Olivier
Bottazzini, Umberto
Historia Mathematica
Dijalektika: Časopis za Metodološko-filozofske Probleme Matematičkih, Prirodnih i Tehničkih Nauka
Studies in History and Philosophy of Science
Revue d'Histoire des Sciences
Kexue Jishu Zhexue Yanjiu (Studies in Philosophy of Science and Technology)
Atlantic Books
Joseph Henry Press
Pantheon Books
Columbia University
Number theory; number concept
Riemann, Georg Friedrich Bernhard
Leibniz, Gottfried Wilhelm von
Herbart, Johann Friedrich
Grassmann, Robert
Descartes, René
Poincaré, Jules Henri
19th century
17th century
20th century
20th century, early
16th century
18th century

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