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 ...
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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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Add this copy of Mathematical Epistemology and Psychology (Synthese to cart. $90.00, Sold by Zubal Books rated 4.0 out of 5 stars, ships from Cleveland, OH, UNITED STATES, published 1974 by D. Reidel Publishing Company.
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First printing (1966); 326 pp, hardcover, ex library, else text clean and binding tight (lacks dust jacket). -If you are reading this, this item is actually (physically) in our stock and ready for shipment once ordered. We are not bookjackers. Buyer is responsible for any additional duties, taxes, or fees required by recipient's country.
Add this copy of Mathematical Epistemology and Psychology to cart. $206.66, new condition, Sold by Ingram Customer Returns Center rated 5.0 out of 5 stars, ships from NV, USA, published 1974 by Springer.
Add this copy of Mathematical Epistemology and Psychology to cart. $105.77, good condition, Sold by Fireside Bookshop rated 5.0 out of 5 stars, ships from Stroud, GLOUCESTERSHIRE, UNITED KINGDOM, published 1966 by D. Reidel Publishing.
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Good in Good jacket. Size: 8vo-over 7¾"-9¾" tall; Type: Book N.B. Small plain label to inside front cover. Darkening to D/J spine. Rubbing to head and tail of D/J spine and corners of D/J.
Add this copy of Mathematical Epistemology and Psychology to cart. $115.50, very good condition, Sold by Cardinalis Books rated 4.0 out of 5 stars, ships from London, ON, CANADA, published 1966 by D. Reidel.
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Near Fine in Very Good jacket. Book. 8vo-over 7¾-9¾" tall. Hardcover in dust jacket. Jacket toned and lightly edge-worn; old owner's name to title-page. Otherwise clean, tight and unmarked. very neat--a sound and handsome copy. xxii, 326pp.
