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Michael Mosley helps struggling insomniacs with his new health book, 4 Weeks to Better Sleep

Michael Mosley helps struggling insomniacs with his new health book, 4 Weeks to Better Sleep
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Philosophy of mathematics - a reading list

Philosophy of mathematics - a reading list
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Project MUSE - What Numbers Could Not Be (for Aristotle)

abstract 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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