2011

From Past to Future: Graßmann's Work in Context

Graßmann Bicentennial Conference, September 2009

ISBN: 978-3-0346-0404-8 (Print) 978-3-0346-0405-5 (Online)

Table of contents (38 chapters)

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  1. Front Matter

    Pages i-xx

  2. On the lives of the Grassmann brothers

    1. Front Matter

      Pages 1-2

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      Book Chapter

      Pages 3-8

      Description of the life of Hermann Grassmann by his son Justus Grassmann, probably written shortly after the death of his father, 1877

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      Book Chapter

      Pages 9-16

      Life history of Robert Grassmann, written by himself (1890)

  3. Historical contexts of Hermann Grassmann’s creativity

    1. Front Matter

      Pages 17-17

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      Book Chapter

      Pages 19-35

      Discovering Robert Grassmann (1815–1901)

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      Book Chapter

      Pages 37-47

      Hermann Grassmann’s theory of religion and faith

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      Book Chapter

      Pages 49-59

      The Significance of Naturphilosophie for Justus and Hermann Grassmann

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      Book Chapter

      Pages 61-70

      Justus and Hermann Grassmann: philosophy and mathematics

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      Book Chapter

      Pages 71-84

      Institutional development of science in Stettin in the first half of the nineteenth century in the time of Hermann Grassmann

  4. Philosophical and methodological aspects of the work of the Grassmann brothers

    1. Front Matter

      Pages 85-85

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      Book Chapter

      Pages 87-90

      Brief outline of a history of the geneticmethod in the development of the deductive sciences

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      Book Chapter

      Pages 91-100

      Grassmann’s epistemology: multiplication and constructivism

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      Pages 101-116

      Axiomatics and self-reference

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      Pages 117-128

      Concepts and contrasts: Hermann Grassmann and Bernard Bolzano

  5. Diversity of the influence of the Grassmann brothers

    1. Front Matter

      Pages 129-129

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      Book Chapter

      Pages 131-139

      New forms of science and new sciences of form: On the non-mathematical reception of Grassmann’s work

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      Book Chapter

      Pages 141-148

      Some philosophical influences of the Ausdehnungslehre

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      Book Chapter

      Pages 149-159

      Grassmann’s influence on Husserl

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      Book Chapter

      Pages 161-174

      Ernst Abbe’s reception of Grassmann in the light of Grassmann’s reception of Schleiermacher

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      Book Chapter

      Pages 175-183

      On the early appraisals in Russia of H. and R. Grassmann’s achievements

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      Book Chapter

      Pages 185-195

      Hermann Grassmann’s work and the Peano School

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      Book Chapter

      Pages 197-208

      Did Gibbs influence Peano’s “Calcolo geometrico secondo l’Ausdehnungslehre di H. Grassmann…”?

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      Book Chapter

      Pages 209-220

      Rudolf Mehmke, an outstanding propagator of Grassmann’s vector calculus

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      Book Chapter

      Pages 221-228

      Robert and Hermann Grassmann’s influence on the history of formal logic

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