Name: mathematical epistemology and psychology (en Inglés)
Price: 286.93 EUR
Availability: InStock
Author: Mays, W. ; Beth, E. W. ; Piaget, J.
ISBN: 9789048183289

portada mathematical epistemology and psychology (en Inglés)

Formato

Libro Físico

Autor

E. W. Beth

J. Piaget

Traducido por

W. Mays

Editorial

Springer

Año

2010

Idioma

Inglés

N° páginas

326

Encuadernación

Tapa Blanda

Dimensiones

22.9 x 15.2 x 1.9 cm

Peso

0.47 kg.

ISBN

9048183286

ISBN13

9789048183289

Categorías

Lingüísticas
Obras de consulta
Sociedad y cultura general
Historia de la humanidad

mathematical epistemology and psychology (en Inglés)

E. W. Beth (Autor) · J. Piaget (Autor) · W. Mays (Traducido por) · Springer · Tapa Blanda

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286,93 €

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Cantidad
Estado: Nuevo
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Reseña del libro "mathematical epistemology and psychology (en Inglés)"

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.