by Corry Shores
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Nietzsche refers to Eugene Dühring's theory of infinity in §1066 of The Will to Power.
Infinity — which Hegel calls bad infinity — is attributed to being also in accordance with Hegel (Encyclopaedia, § 93), and then this infinity is investigated.
"The clearest form of an infinity which can be conceived without contradiction is the unlimited accumulation of numbers in a numerical series {18} ... As we can add yet another unit to any number, without ever exhausting the possibility of further numbers, so also to every state of being a further state succeeds, and infinity consists in the unlimited begetting of these states. This exactly conceived infinity has consequently only one single basic form with one single direction. For although it is immaterial to our thought whether or not it conceives an opposite direction in the accumulation of states, this retrogressing infinity is nevertheless only a rashly constructed thought-image. indeed, since this infinity would have to be traversed in reality in the reverse direction, it would in each of its states have an infinite succession of numbers behind itself. But this would involve the impermissible contradiction of a counted infinite numerical series, and so it is contrary to reason to postulate any second direction in infinity" {19}.
The first conclusion drawn from this conception of infinity is that the chain of causes and effects in the world must at some time have had a beginning:
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