Main Medieval Finitism

Medieval Finitism

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Discussing various versions of two medieval arguments for the impossibility of infinity, this Element sheds light on early stages of the evolution of the notion of INFINITIES OF DIFFERENT SIZES. The first argument is called 'the Equality Argument' and relies on the premise that all infinities are equal. The second argument is called 'the Mapping Argument' and relies on the assumption that if one thing is mapped/ superposed upon another thing and neither exceeds the other, the two things are equal to each other. Although these arguments were initially proposed in the context of discussions against the possibility of infinities, they have played pivotal roles in the historical evolution of the notion of INFINITIES OF DIFFERENT SIZES.
Request Code : ZLIBIO4468987
Categories:
Year:
2024
Publisher:
Cambridge University Press
Language:
English
ISBN 13:
9781009047623
ISBN:
9781009618434,9781009048507,978100904762
Series:
Cambridge Elements; Elements in the Philosophy of Mathematics

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