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Mathematical Realism And Transcendental Phenomenological Idealism

  • Richard Tieszen
Chapter
Part of the Phaenomenologica book series (PHAE, volume 195)

Abstract

In this paper I investigate the question whether mathematical realism is compatible with Husserl’s transcendental phenomenological idealism. The investigation leads to the conclusion that a unique kind of mathematical realism that I call “constituted realism” is compatible with and indeed entailed by transcendental phenomenological idealism. Constituted realism in mathematics is the view that the transcendental ego constitutes the meaning of being of mathematical objects in mathematical practice in a rationally motivated and non-arbitrary manner as abstract or ideal, non-causal, unchanging, non-spatial, and so on. The task is then to investigate which kinds of mathematical objects, e.g., natural numbers, real numbers, particular kinds of functions, transfinite sets, can be constituted in this manner. Various types of founded acts of consciousness are conditions for the possibility of this meaning constitution.

Keywords

Mathematical Object Mathematical Experience Mathematical Idealism Mathematical Realism Mental Entity 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer Science+Business Media B.V. 2010

Authors and Affiliations

  • Richard Tieszen
    • 1
  1. 1.State University of São PauloRio ClaroBrazil

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