16703
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God could make a successive thing so that previous parts cease to exist [Albert of Saxony]
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Full Idea:
Something can be conceived of as successive simpliciter, with respect to both its substance and its state. For example, if Socrates were continually made and made again by the First Cause, as the Seine flow, so nothing of what preexists remains.
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From:
Albert of Saxony (On 'Physics' [1357], III.3), quoted by Robert Pasnau - Metaphysical Themes 1274-1671 18.4
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A reaction:
This is precisely the problem that modern stage theory faces, of knowing how to connect the stages together.
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16699
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Successive entities just need parts to succeed one another, without their existence [Albert of Saxony]
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Full Idea:
For existence to hold of completely successive entities it is not required that their parts exist, but that one part succeed another, as a future part succeeds a past part.
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From:
Albert of Saxony (On 'Physics' [1357], III.3 ad 2), quoted by Robert Pasnau - Metaphysical Themes 1274-1671 18.3
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A reaction:
A nice move, but it doesn't quite solve it. How can non-existent things 'succeed one another'? It is worrying for metaphysics that some things have entirely different concepts of persistence from other things.
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9145
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We form the image of a cardinal number by a double abstraction, from the elements and from their order [Cantor]
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Full Idea:
We call 'cardinal number' the general concept which, by means of our active faculty of thought, arises when we make abstraction from an aggregate of its various elements, and of their order. From this double abstraction the number is an image in our mind.
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From:
George Cantor (Beitrage [1915], §1), quoted by Kit Fine - Cantorian Abstraction: Recon. and Defence Intro
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A reaction:
[compressed] This is the great Cantor, creator of set theory, endorsing the traditional abstractionism which Frege and his followers so despise. Fine offers a defence of it. The Frege view is platonist, because it refuses to connect numbers to the world.
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