Brouwer meets Husserl : on the phenomenology of choice sequences
著者
書誌事項
Brouwer meets Husserl : on the phenomenology of choice sequences
(Synthese library, v. 335)
Springer, c2007
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注記
Includes bibliographical references (p. 169-180) and indexes
内容説明・目次
内容説明
Can a line be analysed mathematically such a way that it does not fall apart into a set of discrete points? Are there objects of pure mathematics that can change through time? L. E. J. Brouwer argued that the two questions are related and that the answer to both is "yes", introducing the concept of choice sequences. This book subjects Brouwer's choice sequences to a phenomenological critique in the style of Husserl.
目次
An Informal Introduction.- The Argument.- The Original Positions.- The Phenomenological Incorrectness of the Original Arguments.- The Constitution of Choice Sequences.- Application: An Argument for Weak Continuity.- Concluding Remarks.
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