WM
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The proof of equinumerosity by bijection between infinite sets, M and N,
is justified by mathematical induction: If every element of set M can be
related to one and only one corresponding element of set N and vice
versa, and if there is never an obstacle or halt in this process of
assignment, then both infinite sets are in bijection. "with respect to
this order we can talk about the nth algebraic number where not a single
one of this epitome (ω) has been forgotten." [E. Zermelo: "Georg Cantor
– Gesammelte Abhandlungen mathematischen und philosophischen Inhalts",
Springer, Berlin (1932) p. 116]
A supertask is a countably infinite sequence of operations that occur
sequentially within a finite interval of time.
Can you demonstrate a difference?
Regards, WM