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9648830 No.9648830 [Reply] [Original]

is the notion that cardinality refers to whether a set maps bijectively with N naive? how does it relate with the continuum hypothesis and higher cardinals than that of the real numbers?

>> No.9648837

>is the notion that cardinality refers to whether a set maps bijectively with N naive?
Definitely naive, since cardinality refers to a sort of "measure" of sets, it doesn't have to have anything to do with N.

>> No.9648838

Cardinality is an invalid attempt to needlessly make sense out of the already defacto base concept of numbers having greater order.

Like 2 is greater than 1 no matter what, unless you go full autistic nihilism to pretend to believe otherwise. Cardinality isn't required to prove 2 is more than 1.

>b-but m-muh different sizes of infinity

>> No.9648855

>>9648838
but what if i have a closed interval [1,2] and an open interval (1,2) of real numbers? how do you describe order being the same here without cardinality?

>> No.9649206

Bijective with N is countable/uncountable, and cardinality includes the higher-ups.