Philosophy of Mathematics: Set Theory, Measuring Theories, and Nominalism - Couverture rigide

Preyer, Gerhard; Peter, Georg

 
9783868380095: Philosophy of Mathematics: Set Theory, Measuring Theories, and Nominalism
Couverture rigide
ISBN 10 : 3868380094 ISBN 13 : 9783868380095
Editeur : ontos verlag, 2008

Synopsis

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Présentation de l'éditeur

One main interest of philosophy is to become clear about the assumptions, premises and inconsistencies of our thoughts and theories. And even for a formal language like mathematics it is controversial if consistency is achievable or necessary like the articles in the first part of the publication show. Also the role of formal derivations, the role of the concept of a priority, and the intuitions of mathematical principles and properties need to be discussed. The second part is a contribution on nominalistic and platonistic views in mathematics, like the 'indispensability argument' of W v O Quine H Putnam and the 'makes no difference argument' of A Baker.Not only in retrospect, the third part shows the problems of Mill, Frege's and the unity of mathematics and Descartes' contradictional conception of mathematical essences. Together, these articles give us a hint into the relationship between mathematics and world, that is, one of the central problems in philosophy of mathematics and philosophy of science.

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

Éditeur
ontos verlag
Date d'édition
2008
Langue
anglais
ISBN 10 
3868380094
ISBN 13 
9783868380095
Reliure
Relié
Nombre de pages
184
Coordonnées du fabricant
non disponible
Personne responsable
non disponible