Article ID: CBB693325107

What Numbers Could Not Be (for Aristotle) (2021)

unapi

Consensus is building that, for Aristotle, number cannot be a heap and so must rather be a tight unity (a whole). Scholars commenting on the relevant passages typically conclude, further, that number is a hylomorphic unity. After showing that these passages do not support such readings, I examine Aristotle's statements about the ontological status of number. I find that his position is that number is a special kind of heap: a measured heap. Since a measured heap has identity criteria, it is distinct from a mere heap; and since the arrangement of its parts makes no difference to its identity, it is also distinct from a whole.

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Authors & Contributors
Elaine Landry
Tipton, Jason A.
Iwata, Naoya
Zhang, Butian
Robertson, David G.
Reynolds, Joshua
Journals
British Journal for the History of Philosophy
Ancient Philosophy
Journal of the History of Philosophy
History and Philosophy of Logic
Configurations: A Journal of Literature, Science, and Technology
Chinese Journal for the History of Science and Technology
Publishers
University of California, Irvine
Princeton University Press
Harvard University Press
Ashgate
Cambridge University Press
Concepts
Philosophy
Ontology
Philosophy of mathematics
Metaphysics
Mathematics
Philosophy of science
People
Aristotle
Plato
Thomas Aquinas, Saint
Averroes
Wittgenstein, Ludwig
Spinoza, Baruch
Time Periods
Ancient
Medieval
Early modern
20th century
17th century
Places
Greece
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