19406
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I strongly believe in the actual infinite, which indicates the perfections of its author [Leibniz]
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Full Idea:
I am so much for the actual infinite that instead of admitting that nature abhors it, as is commonly said, I hold that it affects nature everywhere in order to indicate the perfections of its author.
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From:
Gottfried Leibniz (Reply to Foucher [1693], p.99)
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A reaction:
I would have thought that, for Leibniz, while infinities indicate the perfections of their author, that is not the reason why they exist. God wasn't, presumably, showing off. Leibniz does not think we can actually know these infinities.
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19384
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Space and time are the order of all possibilities, and don't just relate to what is actual [Leibniz]
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Full Idea:
Space and time taken together constitute the order of possibilities of the one entire universe, so that these orders relate not only to what actually is, but also to anything that could be put in its place.
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From:
Gottfried Leibniz (Reply to 'Rorarius' 2nd ed [1702], GP iv 568), quoted by Richard T.W. Arthur - Leibniz 7 'Space and Time'
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A reaction:
A very nice idea. Rather like the 'space of reasons', where all rational thought must exist, space and time are the 'space of existence and action'. Their concepts involve more than relations between what actually exists.
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