Medieval Finitism
Book Details
Format
Paperback / Softback
Book Series
Elements in the Philosophy of Mathematics
ISBN-10
1009048503
ISBN-13
9781009048507
Publisher
Cambridge University Press
Imprint
Cambridge University Press
Country of Manufacture
GB
Country of Publication
GB
Publication Date
Jan 30th, 2025
Print length
80 Pages
Weight
134 grams
Dimensions
22.80 x 15.10 x 0.70 cms
Product Classification:
Philosophy
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This Element explores medieval arguments for the impossibility of infinity, focusing on the early stages of the development of the notion of 'infinities of different sizes'. The Equality Argument and Mapping Argument, initially proposed in opposition to infinity, have played significant roles in the historical evolution of this concept.
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.
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