The Natural Numbers seen Philosophically | A view from the Realism

Alfonso Avila del Palacio

ISBN 10: 3846530115 / ISBN 13: 9783846530115

Published by LAP LAMBERT Academic Publishing, 2011

About this Item

The Natural Numbers seen Philosophically | A view from the Realism | Alfonso Avila del Palacio | Taschenbuch | 132 S. | Englisch | 2011 | LAP LAMBERT Academic Publishing | EAN 9783846530115 | Verantwortliche Person für die EU: BoD - Books on Demand, In de Tarpen 42, 22848 Norderstedt, info[at]bod[dot]de | Anbieter: preigu.

Seller Inventory # 106724620

Bibliographic Details

• Title: The Natural Numbers seen Philosophically | A view from the Realism
• Publisher: LAP LAMBERT Academic Publishing
• Publication Date: 2011
• Language: English
• ISBN 10: 3846530115
• ISBN 13: 9783846530115
• Binding: Taschenbuch
• Condition: Neu
• Dimensions: 220W x 150H x 8D millimeters 220 millimeters width by 150 millimeters height by 8 millimeters depth
• Weight: 215 grams
• Seller catalogs:
  • Bücher

About this title

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.

About the Author

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.