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58

men meaning a sam of which any member is
a man, etc.: then the adjectives two, ten
myriad, innumerable, express
qualities of collections of a certain class, and
any quality of this class is a multitude. Of
course, this is not a definition. It is only the
framework for a definition. In order to define multitude,
it is necessary to begin by analyzing
our meaning when we say that one collection
is greater than another. This analysis was first
published in a posthumous work of Bernard Bolzano,
which appeared in 1851 and has since
been reprinted Paradoxien des Unendlichen.
Bolzano was a catholic theologian of Hungary
and the author of a logic in four volumes. He was far

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