Knowledge and the Philosophy of Number (Paperback)

Lingua: inglese

Editore: Bloomsbury Publishing PLC, London, 2021

1350277967 / 9781350277960

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Venditore AbeBooks dal 29 giugno 2022

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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. This item is printed on demand. Shipping may be from our UK warehouse or from our Australian or US warehouses, depending on stock availability.…

Codice articolo 9781350277960

Titolo
Knowledge and the Philosophy of Number (Paperback)
Autore
Dr Keith Hossack
Editore
Bloomsbury Publishing PLC, London
Anno di pubblicazione
2021
Condizione
new
Rilegatura
Paperback
Lingua
inglese
ISBN 10
1350277967
ISBN 13
9781350277960

CitiRetail

Stevenage, Regno Unito

Venditore con 5 stelle

Venditore AbeBooks dal 29 giugno 2022

Tariffe di spedizione da Regno Unito a U.S.A.

ArticoloDa 7 a 14 giorni lavorativiDa 7 a 60 giorni lavorativi
Primo articoloEUR 43,62EUR 43,62
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