Mathematical Epistemology and Psychology - nieuw boek

ISBN: 9789027700711

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 b… Meer...

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. Mathematical Epistemology and Psychology Buch (fremdspr.) gebundene Ausgabe 30.06.1974 Bücher>Fremdsprachige Bücher>Englische Bücher, Springer Netherlands, .197<

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1974, ISBN: 9789027700711

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 b… Meer...

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. Buch (fremdspr.) E.W. Beth#J. Piaget gebundene Ausgabe, Springer Netherland, 30.06.1974, Springer Netherland, 1974<

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ISBN: 9789027700711

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 b… Meer...

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 > Linguistics Hard cover, Springer Shop<

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ISBN: 9789027700711

Erscheinungsdatum: 30.06.1974, Medium: Buch, Einband: Gebunden, Titel: Mathematical Epistemology and Psychology, Auflage: 1974, Autor: Beth, E. W. // Piaget, J., Übersetzung: Mays, W., Ve… Meer...

Erscheinungsdatum: 30.06.1974, Medium: Buch, Einband: Gebunden, Titel: Mathematical Epistemology and Psychology, Auflage: 1974, Autor: Beth, E. W. // Piaget, J., Übersetzung: Mays, W., Verlag: Springer Netherlands // Springer Netherland, Sprache: Englisch, Schlagworte: Geschichte // Historie // Psycholinguistik // Sprachwissenschaft, Rubrik: Sprachwissenschaft // Allg. u. vergl. Sprachwiss., Seiten: 352, Informationen: Book, Gewicht: 689 gr, Verkäufer: averdo Belletristik<

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1974, ISBN: 9027700710

1974 Gebundene Ausgabe Geschichte, Historie, Psycholinguistik, Sprachwissenschaft / Psycholinguistik, Psycholinguistik und Kognitive Linguistik, Plato; epistemological problem; reason, … Meer...

1974 Gebundene Ausgabe Geschichte, Historie, Psycholinguistik, Sprachwissenschaft / Psycholinguistik, Psycholinguistik und Kognitive Linguistik, Plato; epistemological problem; reason, mit Schutzumschlag neu, [PU:Springer Netherlands; Springer Netherland]<

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