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Annals of Science Volume 34, 1977 - Issue 2
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Special issue philosophical approaches in nineteenth-century mathematics

H. Grassmann's 1844 Ausdehnungslehre and Schleiermacher's Dialektik

Albert C. Lewis Humanities Research Center, The University of Texas at Austin, Box 7219, Austin, Texas, 78712, U.S.A.
Pages 103-162 | Received 08 Oct 1976, Published online: 23 Aug 2006

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Paul Redding. (2023) Intuitionist and Classical Dimensions of Hegel’s Hybrid Logic. History and Philosophy of Logic 44:2, pages 209-224.
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Albert C Lewis. (2004) The unity of logic, pedagogy and foundations in Grassmann's mathematical work. History and Philosophy of Logic 25:1, pages 15-36.
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Umberto Bottazzini. (1985) Dall' analisi matematica al calcolo geometrico: origini delle prime ricerche di logica di peano. History and Philosophy of Logic 6:1, pages 25-52.
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Articles from other publishers (37)

Paul Redding. (2022) Diagrammatic and Modal Dimensions of the Syllogisms of Hegel and Peirce. Axioms 11:12, pages 702.
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David E. RoweDavid E. Rowe. 2018. A Richer Picture of Mathematics. A Richer Picture of Mathematics 95 103 .
Hee Jung Lee & Kyunghee Shin. (2013) Grassmann's Mathematical Epistemology and Generalization of Vector Spaces. Journal for History of Mathematics 26:4, pages 245-257.
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Erik C. Banks. (2013) Extension and measurement: A constructivist program from Leibniz to Grassmann. Studies in History and Philosophy of Science Part A 44:1, pages 20-31.
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Hans-Joachim Petsche. (2012) Schleiermacher, Fries, Herbart …– wer beeinflusste Hermann Graßmann?. Mathematische Semesterberichte 59:2, pages 183-222.
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Wolfgang Achtner. 2011. Infinity. Infinity 19 52 .
Gert Schubring. (2010) Hermann Graßmann – zwei sich unterscheidende LebensläufeHermann Graßmann – Two Differing CVs. NTM Zeitschrift für Geschichte der Wissenschaften, Technik und Medizin 18:2, pages 197-230.
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David E. Rowe. (2009) Debating Grassmann’s Mathematics: Schlegel Versus Klein. The Mathematical Intelligencer 32:1, pages 41-48.
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Gert Schubring. (2009) Graßmann (Vita mathematica). The Mathematical Intelligencer 30:4, pages 62-64.
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José Ferreirós. 2007. The Shaping of Arithmetic after C. F. Gauss’s Disquisitiones Arithmeticae. The Shaping of Arithmetic after C. F. Gauss’s Disquisitiones Arithmeticae 234 268 .
Otto Theodor Benfey. 2006. Philosophy Of Chemistry. Philosophy Of Chemistry 95 117 .
Albert C. Lewis. 2005. Landmark Writings in Western Mathematics 1640-1940. Landmark Writings in Western Mathematics 1640-1940 431 440 .
Mircea Radu. 2005. Activity and Sign. Activity and Sign 263 274 .
Mircea Radu. (2003) A debate about the axiomatization of arithmetic: Otto Hölder against Robert Graßmann. Historia Mathematica 30:3, pages 341-377.
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Jean-Luc Dorier. 2002. On the Teaching of Linear Algebra. On the Teaching of Linear Algebra 3 81 .
Mircea Radu. (2000) Justus Grassmann's Contributions to the Foundations of Mathematics: Mathematical and Philosophical Aspects. Historia Mathematica 27:1, pages 4-35.
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Elizabeth GarberElizabeth Garber. 1999. The Language of Physics. The Language of Physics 321 362 .
Kenneth L. Caneva. (2016) Physics and Naturphilosophie : A Reconnaissance . History of Science 35:1, pages 35-106.
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Gert Schubring. 1996. Hermann Günther Graßmann (1809–1877): Visionary Mathematician, Scientist and Neohumanist Scholar. Hermann Günther Graßmann (1809–1877): Visionary Mathematician, Scientist and Neohumanist Scholar 59 70 .
Albert C. Lewis. 1996. Hermann Günther Graßmann (1809–1877): Visionary Mathematician, Scientist and Neohumanist Scholar. Hermann Günther Graßmann (1809–1877): Visionary Mathematician, Scientist and Neohumanist Scholar 29 36 .
Ole Immanuel Franksen. 1996. Hermann Günther Graßmann (1809–1877): Visionary Mathematician, Scientist and Neohumanist Scholar. Hermann Günther Graßmann (1809–1877): Visionary Mathematician, Scientist and Neohumanist Scholar 303 335 .
Alvin Swimmer. 1996. Hermann Günther Graßmann (1809–1877): Visionary Mathematician, Scientist and Neohumanist Scholar. Hermann Günther Graßmann (1809–1877): Visionary Mathematician, Scientist and Neohumanist Scholar 265 280 .
Jean-Luc Dorier. 1996. Hermann Günther Graßmann (1809–1877): Visionary Mathematician, Scientist and Neohumanist Scholar. Hermann Günther Graßmann (1809–1877): Visionary Mathematician, Scientist and Neohumanist Scholar 175 196 .
Karl-Heinz Schlote. 1996. Hermann Günther Graßmann (1809–1877): Visionary Mathematician, Scientist and Neohumanist Scholar. Hermann Günther Graßmann (1809–1877): Visionary Mathematician, Scientist and Neohumanist Scholar 165 173 .
David E. Rowe. 1996. Hermann Günther Graßmann (1809–1877): Visionary Mathematician, Scientist and Neohumanist Scholar. Hermann Günther Graßmann (1809–1877): Visionary Mathematician, Scientist and Neohumanist Scholar 131 145 .
Jamie Tappenden. (1995) Geometry and generality in Frege's philosophy of arithmetic. Synthese 102:3, pages 319-361.
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Jean-Luc Dorier. (1995) A general outline of the genesis of vector space theory. Historia Mathematica 22:3, pages 227-261.
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Michael Otte. (1992) Das Prinzip der Kontinuität. Mathematische Semesterberichte 39:2, pages 105-125.
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Dominique Flament. 1992. 1830–1930: A Century of Geometry. 1830–1930: A Century of Geometry 205 221 .
C.A. Drossos. (1990) Foundations of fuzzy sets: A nonstandard approach. Fuzzy Sets and Systems 37:3, pages 287-307.
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Michael Otte. (1989) The ideas of Hermann Grassmann in the context of the mathematical and philosophical tradition since Leibniz. Historia Mathematica 16:1, pages 1-35.
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. (1988) Alfred North Whitehead: The man and his work. Volume I: 1861–1910. Historia Mathematica 15:2, pages 176-179.
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Erhard Scholz. (1982) Herbart's influence on bernhard Riemann. Historia Mathematica 9:4, pages 413-440.
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Kenneth L. Caneva. 1981. Sciences and Cultures. Sciences and Cultures 101 131 .
Albert C. Lewis. 1981. Epistemological and Social Problems of the Sciences in the Early Nineteenth Century. Epistemological and Social Problems of the Sciences in the Early Nineteenth Century 255 267 .
Albert C. Lewis. 1981. Social History of Nineteenth Century Mathematics. Social History of Nineteenth Century Mathematics 246 254 .
F. A. M. Frescura & B. J. Hiley. (1980) The implicate order, algebras, and the spinor. Foundations of Physics 10:1-2, pages 7-31.
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