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60

too clearheaded to escape persecution in his position,
you may be sure. Bolzano's definition amounts
to this. If one gath, say that of the Bs, is so related to
another gath, say the As, that there can be no
one-to-one relation in which every B stands
to an A, then, and only then, the gath of the
Bs is greater than that of the As, and the
latter is less than the former.
[diagram with notes]
For example there is no possible one-to-one relation in
which every one of five things stands to one of three things.

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