Article ID: CBB001211301

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

unapi

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.

...More

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


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

Similar Citations

Article Radu, Mircea; (2003)
A Debate about the Axiomatization of Arithmetic: Otto Hölder against Robert Graßmann (/isis/citation/CBB000340654/) unapi

Article Darrigol, Olivier; (2003)
Number and Measure: Hermann von Helmholtz at the Crossroads of Mathematics, Physics, and Psychology (/isis/citation/CBB000340891/) unapi

Article Frederick Beiser; (2015)
Herbart's Monadology (/isis/citation/CBB754938312/) unapi

Article Knobloch, Eberhard; (2002)
Leibniz's Rigorous Foundation of Infinitesimal Geometry by Means of Riemannian Sums (/isis/citation/CBB000300359/) unapi

Thesis Gray, Jeremy J.; ()
Differential equations and group theory from Riemann to Poincaré (/isis/citation/CBB000007767/) unapi

Thesis Abram Kaplan; (2018)
The Myth of Greek Algebra: Progress and Community in Early-Modern Mathematics (/isis/citation/CBB202265617/) unapi

Article M. Rosa Massa-Esteve; (2017)
Mengoli's Mathematical Ideas in Leibniz's Excerpts (/isis/citation/CBB736043920/) unapi

Article Knobloch, Eberhard; (2006)
Beyond Cartesian Limits: Leibniz's Passage from Algebraic to “Transcendental” Mathematics (/isis/citation/CBB000670257/) unapi

Book Paolo D'Isanto; (2020)
La funzione zeta di Riemann in fisica (/isis/citation/CBB753434330/) unapi

Book Derbyshire, John; (2003)
Prime Obsession: Bernhard Riemann and the Greatest Unsolved Problem in Mathematics (/isis/citation/CBB000470014/) unapi

Book Rockmore, Daniel Nahum; (2005)
Stalking the Riemann Hypothesis: The Quest to Find the Hidden Law of Prime Numbers (/isis/citation/CBB000550401/) unapi

Article Knobloch, Eberhard; (2001)
Déterminants et élimination chez Leibniz (/isis/citation/CBB000770917/) unapi

Article Yan, Chen-guang; Deng, Ming-li; (2009)
Riemann's Idea of Geometry and its Impact on the Theory of Relativity (/isis/citation/CBB000952285/) unapi

Book Lizhen Ji; Athanase Papadopoulos; Sumio Yamada; (2017)
From Riemann to Differential Geometry and Relativity (/isis/citation/CBB099121462/) unapi

Chapter Tappenden, Jamie; (2006)
The Riemannian Background to Frege's Philosophy (/isis/citation/CBB000800119/) unapi

Chapter Bottazzini, Umberto; (2003)
Complex function theory, 1780--1900 (/isis/citation/CBB000355272/) unapi

Article Scholz, Erhard; (1982)
Riemanns Studien der Philosophie J. F. Herbarts (/isis/citation/CBB000015910/) unapi

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

Be the first to comment!

{{ comment.created_by.username }} on {{ comment.created_on | date:'medium' }}

Log in or register to comment