Sinossi
Argues that numbers are properties, not objects, and are therefore knowable.
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Informazioni sull?autore
Keith Hossack is Reader in Philosophy, Birkbeck College, University of London, UK.
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Knowledge and the Philosophy of Number What Numbers Are and How They Are Known
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Bloomsbury Academic, 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)
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Knowledge and the Philosophy of Number: What Numbers Are and How They Are Known
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Knowledge and the Philosophy of Number (Hardcover)
Editore:
Bloomsbury Publishing PLC, London, 2020
ISBN 10: 1350102903
ISBN 13: 9781350102903
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Hardcover. Condizione: 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. Codice articolo 9781350102903
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Knowledge and the Philosophy of Number (Hardcover)
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Bloomsbury Publishing PLC, London, 2020
ISBN 10: 1350102903
ISBN 13: 9781350102903
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Hardcover. Condizione: 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. Codice articolo 9781350102903
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Knowledge and the Philosophy of Number: What Numbers Are and How They Are Known
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Knowledge and the Philosophy of Number | What Numbers Are and How They Are Known
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Buch. Condizione: Neu. Knowledge and the Philosophy of Number | What Numbers Are and How They Are Known | Keith Hossack | Buch | Gebunden | Englisch | 2020 | Bloomsbury 3PL | EAN 9781350102903 | Verantwortliche Person für die EU: Libri GmbH, Europaallee 1, 36244 Bad Hersfeld, gpsr[at]libri[dot]de | Anbieter: preigu Print on Demand. Codice articolo 129707787
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Hardcover. Condizione: Brand New. 256 pages. 9.25x6.25x1.00 inches. In Stock. Codice articolo x-1350102903
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