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
Crippa, Davide
Lê, François
D'Isanto, Paolo
Kaplan, Abram
Journals
Historia Mathematica
Synthese
Studies in History and Philosophy of Science
Revue d'Histoire des Sciences
Quaderns d'Història de l'Enginyeria
Kexue Jishu Zhexue Yanjiu (Studies in Philosophy of Science and Technology)
Publishers
Pantheon Books
Joseph Henry Press
Birkhäuser
Atlantic Books
Aracne
Columbia University
Concepts
Mathematics
Algebra
Physics
Number theory; number concept
Geometry
Prime numbers
People
Riemann, Georg Friedrich Bernhard
Leibniz, Gottfried Wilhelm von
Herbart, Johann Friedrich
Grassmann, Robert
Descartes, René
Viète, François de la Bigotière
Time Periods
19th century
17th century
18th century
20th century, early
20th century
16th century
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