A very interesting riddle for those of you with some basic background in Set Theory.
Prove or Disprove the Following Claim:
There exists a subset B of P(N), such that |B| = A, and B is completely ordered by the subset relation.
N denotes the set of natural numbers.
A denotes the cardinality of the continuum (i.e. A = aleph = 2^aleph 0).
“B is completely ordered by the subset relation” means that for every two elements a, b of B, either a is a subset of b or b is a subset of a.
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