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Development of the Number Concept — From the Algebraic Principle to the Global Organization of Algebra

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Mathematics as an Educational Task
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Abstract

From the static description in Chapter XI of what was called the algebraic principle, we now pass to its development.

With the introduction of the sign x12 for the 12th power of x the newer analysis started.

The method of the algebraic letter calculus is, indeed, not implicit to the objective-intuitive number theory.

C. G. J. Jacobi (L. Koenigsberger, C. G. J. Jacobi, Leipzig, 1904, p. 390)

D. Hilbert, Über das Unendliche, 1927

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© 1973 D. Reidel Publishing Company, Dordrecht-Holland

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Freudenthal, H. (1973). Development of the Number Concept — From the Algebraic Principle to the Global Organization of Algebra. In: Mathematics as an Educational Task. Springer, Dordrecht. https://doi.org/10.1007/978-94-010-2903-2_14

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  • DOI: https://doi.org/10.1007/978-94-010-2903-2_14

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-90-277-0322-4

  • Online ISBN: 978-94-010-2903-2

  • eBook Packages: Springer Book Archive

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