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Mathematical Epistemology And Psychology
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ISBN: 9789027700711

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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. 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. Books, Language and Linguistics~~Linguistics~~Psycholinguistics, Mathematical Epistemology And Psychology~~Book~~9789027700711~~J. Piaget, Evert Willem Beth, , , , , , , , , ,

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Mathematical Epistemology and Psychology (Hardback) - Evert Willem Beth, J. Piaget
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[EAN: 9789027700711], Neubuch, [PU: Springer, Netherlands], Language Arts & Disciplines|Linguistics, Mathematics|History & Philosophy, Language: English Brand New Book ***** Print on Demand *****. 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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Synthese Library. 1974. Auflage Synthese Library. 1974. Auflage Bücher > English, International > Gebundene Ausgaben

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Mathematical Epistemology and Psychology - Evert Willem Beth; J. Piaget
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Mathematical Epistemology and Psychology - Evert Willem Beth
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Mathematical Epistemology and Psychology
Autor:

Beth, E. W.; Piaget, J.

Titel:

Mathematical Epistemology and Psychology

ISBN-Nummer:

9789027700711

Detailangaben zum Buch - Mathematical Epistemology and Psychology


EAN (ISBN-13): 9789027700711
ISBN (ISBN-10): 9027700710
Gebundene Ausgabe
Erscheinungsjahr: 2007
Herausgeber: Springer-Verlag GmbH
352 Seiten
Gewicht: 0,689 kg
Sprache: eng/Englisch

Buch in der Datenbank seit 20.05.2007 07:12:04
Buch zuletzt gefunden am 25.02.2017 11:58:17
ISBN/EAN: 9789027700711

ISBN - alternative Schreibweisen:
90-277-0071-0, 978-90-277-0071-1

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