Synopsis
Argues that numbers are properties, not objects, and are therefore knowable.
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À 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 référence à une autre édition de ce titre.
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Knowledge and the Philosophy of Number : What Numbers Are and How They Are Known
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Bloomsbury Academic, 2021
ISBN 10 : 1350277967
ISBN 13 : 9781350277960
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Knowledge and the Philosophy of Number
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Knowledge and the Philosophy of Number : What Numbers Are and How They Are Known
Edité par
Bloomsbury Academic, 2021
ISBN 10 : 1350277967
ISBN 13 : 9781350277960
Neuf
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Vendeur : GreatBookPrices, Columbia, MD, Etats-Unis
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Knowledge and the Philosophy of Number
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Knowledge and the Philosophy of Number: What Numbers Are and How They Are Known (Mind, Meaning and Metaphysics)
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Bloomsbury Academic, 2021
ISBN 10 : 1350277967
ISBN 13 : 9781350277960
Neuf
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Knowledge and the Philosophy of Number
Edité par
Bloomsbury Publishing PLC, GB, 2021
ISBN 10 : 1350277967
ISBN 13 : 9781350277960
Neuf
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Paperback. Etat : New. 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 Euclid's 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. N° de réf. du vendeur LU-9781350277960
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Knowledge and the Philosophy of Number: What Numbers Are and How They Are Known (Mind, Meaning and Metaphysics)
Edité par
Bloomsbury Academic, 2021
ISBN 10 : 1350277967
ISBN 13 : 9781350277960
Neuf
Couverture souple
Vendeur : Ria Christie Collections, Uxbridge, Royaume-Uni
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Knowledge and the Philosophy of Number (Paperback)
Edité par
Bloomsbury Publishing PLC, London, 2021
ISBN 10 : 1350277967
ISBN 13 : 9781350277960
Neuf
Paperback
Vendeur : Grand Eagle Retail, Bensenville, IL, Etats-Unis
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Paperback. Etat : new. Paperback. 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 réf. du vendeur 9781350277960
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Knowledge and the Philosophy of Number : What Numbers Are and How They Are Known
Edité par
Bloomsbury Academic, 2021
ISBN 10 : 1350277967
ISBN 13 : 9781350277960
Neuf
Couverture souple
Vendeur : GreatBookPricesUK, Woodford Green, Royaume-Uni
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Image fournie par le vendeur
Knowledge and the Philosophy of Number : What Numbers Are and How They Are Known
Edité par
Bloomsbury Academic, 2021
ISBN 10 : 1350277967
ISBN 13 : 9781350277960
Ancien ou d'occasion
Couverture souple
Vendeur : GreatBookPricesUK, Woodford Green, Royaume-Uni
Évaluation du vendeur 5 sur 5 étoiles
Etat : As New. Unread book in perfect condition. N° de réf. du vendeur 43000425
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