Knowledge and the Philosophy of Number: What Numbers Are and How They Are Known - Couverture rigide

Hossack, Dr Keith

9781350102903: Knowledge and the Philosophy of Number: What Numbers Are and How They Are Known

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ISBN 10 : 1350102903 ISBN 13 : 9781350102903

Editeur : Bloomsbury Academic, 2020

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Argues that numbers are properties, not objects, and are therefore knowable.

Les informations fournies dans la section � Synopsis � peuvent faire r�f�rence � une autre �dition de ce titre.

� propos de l?auteur

Keith Hossack is Reader in Philosophy, Birkbeck College, University of London, UK.

Les informations fournies dans la section � A propos du livre � peuvent faire r�f�rence � une autre �dition de ce titre.

�diteur: Bloomsbury Academic
Date d'�dition: 2020
Langue: anglais
ISBN 10: 1350102903
ISBN 13: 9781350102903
Reliure: Reli�
Nombre de pages: 216
Coordonn�es du fabricant: non disponible
Personne responsable: non disponible

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9781350277960: Knowledge and the Philosophy of Number: What Numbers Are and How They Are Known

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ISBN 10 : 1350277967 ISBN 13 : 9781350277960
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Knowledge and the Philosophy of Number What Numbers Are and How They Are Known

Hossack, Keith & Christopher Gauker & Johannes Brandl & Mark Textor & Max Kolbel

Edit� par Bloomsbury Academic, 2020

ISBN 10 : 1350102903 ISBN 13 : 9781350102903

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Hardcover. Etat : As New. Text clean and tight; no dust jacket; Mind, Meaning And Metaphysics; 8vo 8" - 9" tall; 216 pages. N� de r�f. du vendeur 234479

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Knowledge and the Philosophy of Number

Keith Hossack

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Knowledge and the Philosophy of Number

Keith Hossack

Edit� par Bloomsbury Publishing (UK), 2020

ISBN 10 : 1350102903 ISBN 13 : 9781350102903

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Knowledge and the Philosophy of Number: What Numbers Are and How They Are Known (Mind, Meaning and Metaphysics)

Hossack, Keith

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ISBN 10 : 1350102903 ISBN 13 : 9781350102903

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Knowledge and the Philosophy of Number: What Numbers Are and How They Are Known

Dr Keith Hossack

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Knowledge and the Philosophy of Number (Hardcover)

Dr Keith Hossack

Edit� par Bloomsbury Publishing PLC, London, 2020

ISBN 10 : 1350102903 ISBN 13 : 9781350102903

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Hardcover. Etat : new. Hardcover. If numbers were objects, how could there be human knowledge of number? Numbers are not physical objects: must we conclude that we have a mysterious power of perceiving the abstract realm? Or should we instead conclude that numbers are fictions?This book argues that numbers are not objects: they are magnitude properties. Properties are not fictions and we certainly have scientific knowledge of them. Much is already known about magnitude properties such as inertial mass and electric charge, and much continues to be discovered. The book says the same is true of numbers.In the theory of magnitudes, the categorial distinction between quantity and individual is of central importance, for magnitudes are properties of quantities, not properties of individuals. Quantity entails divisibility, so the logic of quantity needs mereology, the a priori logic of part and whole. The three species of quantity are pluralities, continua and series, and the book presents three variants of mereology, one for each species of quantity.Given Euclids axioms of equality, it is possible without the use of set theory to deduce the axioms of the natural, real and ordinal numbers from the respective mereologies of pluralities, continua and series. Knowledge and the Philosophy of Number carries out these deductions, arriving at a metaphysics of number that makes room for our a priori knowledge of mathematical reality. Shipping may be from multiple locations in the US or from the UK, depending on stock availability. N� de r�f. du vendeur 9781350102903

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Knowledge and the Philosophy of Number (Hardcover)

Dr Keith Hossack

Edit� par Bloomsbury Publishing PLC, London, 2020

ISBN 10 : 1350102903 ISBN 13 : 9781350102903

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Hardcover. Etat : new. Hardcover. If numbers were objects, how could there be human knowledge of number? Numbers are not physical objects: must we conclude that we have a mysterious power of perceiving the abstract realm? Or should we instead conclude that numbers are fictions?This book argues that numbers are not objects: they are magnitude properties. Properties are not fictions and we certainly have scientific knowledge of them. Much is already known about magnitude properties such as inertial mass and electric charge, and much continues to be discovered. The book says the same is true of numbers.In the theory of magnitudes, the categorial distinction between quantity and individual is of central importance, for magnitudes are properties of quantities, not properties of individuals. Quantity entails divisibility, so the logic of quantity needs mereology, the a priori logic of part and whole. The three species of quantity are pluralities, continua and series, and the book presents three variants of mereology, one for each species of quantity. Given Euclids axioms of equality, it is possible without the use of set theory to deduce the axioms of the natural, real and ordinal numbers from the respective mereologies of pluralities, continua and series. Knowledge and the Philosophy of Number carries out these deductions, arriving at a metaphysics of number that makes room for our a priori knowledge of mathematical reality. This item is printed on demand. Shipping may be from our UK warehouse or from our Australian or US warehouses, depending on stock availability. N� de r�f. du vendeur 9781350102903

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