Last Updated:2025/12/19
Sentence
An
interesting
and
perhaps
essential
formal
model
of
this
quality
is
to
be
found
in
Cantor's
concepts
of
infinite
sets
and
transfinite
cardinals.
The
laws
of
ordinary,
inductive
mathematics
do
not
apply
to
these,
for
the
'least
part'
of
such
transfinites
are
equal
to
the
whole,
and
convey
their
infinite
(i.e.
world-like)
quality.
Quizzes for review
An interesting and perhaps essential formal model of this quality is to be found in Cantor's concepts of infinite sets and transfinite cardinals. The laws of ordinary, inductive mathematics do not apply to these, for the 'least part' of such transfinites are equal to the whole, and convey their infinite (i.e. world-like) quality.
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