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The Natural Numbers seen Philosophically: A view from the Realism - Couverture souple

Avila Del Palacio, Alfonso

 
9783846530115: The Natural Numbers seen Philosophically: A view from the Realism
Couverture souple
ISBN 10 : 3846530115 ISBN 13 : 9783846530115
Editeur : LAP LAMBERT Academic Publishing, 2011

Synopsis

The book proposes an ontology for natural numbers. It begins by clarifying that numbers and mathematics in general can be studied from two different main approaches: that of the philosopher and that of the mathematician. The focus of the book is philosophical. Once clarifying the above issues, the book proposes another distinction specifically for numbers. A distinction between first-, second-, and third-level numbers is proposed. Actual mathematical numbers comprese the second-level, which can be seen as idealized paintings of first-level numbers, which are concepts such as "units", "pairs" and "trios". These numbers are closely linked to empirical objects by example, grouping a pair of eyes with a pair of trees. Third-level numbers are those that have been built in metamathematics, as is the case of the Fregean and Peano's numbers, and even those of Euclid in terms of magnitudes. Regarding the ontology of the actual mathematical numbers, the book proposes that they are abstract objects that result from the mental counting process and that are symbolized and manipulated in arithmetic.

Les informations fournies dans la section « Synopsis » peuvent faire référence à une autre édition de ce titre.

Présentation de l'éditeur

The book proposes an ontology for natural numbers. It begins by clarifying that numbers and mathematics in general can be studied from two different main approaches: that of the philosopher and that of the mathematician. The focus of the book is philosophical. Once clarifying the above issues, the book proposes another distinction specifically for numbers. A distinction between first-, second-, and third-level numbers is proposed. Actual mathematical numbers comprese the second-level, which can be seen as idealized paintings of first-level numbers, which are concepts such as "units", "pairs" and "trios". These numbers are closely linked to empirical objects by example, grouping a pair of eyes with a pair of trees. Third-level numbers are those that have been built in metamathematics, as is the case of the Fregean and Peano's numbers, and even those of Euclid in terms of magnitudes. Regarding the ontology of the actual mathematical numbers, the book proposes that they are abstract objects that result from the mental counting process and that are symbolized and manipulated in arithmetic.

Biographie de l'auteur

Was born in Durango, México; He holds a PhD in philosophy at the National University of Mexico and he is research professor since 1992. He has published Mathematical Structure of Keynesian Theory, 2000, FCE; On happiness, Theories and a Better World, 2007, Edit. UJED; as well as several articles on philosophy in Spain, Mexico, Argentina and USA.

Les informations fournies dans la section « A propos du livre » peuvent faire référence à une autre édition de ce titre.

Éditeur
LAP LAMBERT Academic Publishing
Date d'édition
2011
Langue
anglais
ISBN 10 
3846530115
ISBN 13 
9783846530115
Reliure
Broché
Nombre de pages
132
Coordonnées du fabricant
non disponible
Personne responsable
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