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    Alley-side Pickup: 10am - 7pm

    3038 Hennepin Ave Minneapolis, MN
    612-822-4611

Open Daily: 10am - 10pm | Alley-side Pickup: 10am - 7pm
3038 Hennepin Ave Minneapolis, MN
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Mathematical Epistemology and Psychology

Mathematical Epistemology and Psychology

Mays, W.
Piaget, J.
Beth, E. W.

Paperback

Series: Synthese Library, Book 12

LinguisticsGeneral SociologyGeneral World History

ISBN10: 9048183286
ISBN13: 9789048183289
Publisher: Springer
Published: Dec 25 2010
Pages: 326
Weight: 1.03
Height: 0.73 Width: 6.00 Depth: 9.00
Language: English
One of the controversial philosophical issues of recent years has been the question of the nature of logical and mathematical entities. Platonist or linguistic modes of explanation have become fashionable, whilst abstrac- tionist and constructionist theories have ceased to be so. Beth and Piaget approach this problem in their book from two somewhat different points of view. Beth's approach is largely historico-critical, although he discusses the nature of heuristic thinking in mathematics, whilst that of Piaget is psycho-genetic. The major purpose of this introduction is to summarise some of the main points of their respective arguments. In the first part of this book Beth makes a detailed study of the history of philosophical thinking about mathematics, and draws our attention to the important role played by the Aristotelian methodology of the demon- strative sciences. This, he tells us, is characterised by three postulates: (a) deductivity, (b) self-evidence, and (c) reality. The last postulate asserts that the primitive notions of a demonstrative science must have reference to a domain of real entities in order to have significance. On the Aristote- lian view discursive reasoning plays a major role in mathematics, whilst pure intuition plays a somewhat subordinate one.

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