mattiasdrp

@mattiasdrp@discuss.tchncs.de

• ⁨Comment⁩ on ⁨What are the most mindblowing fact in mathematics?⁩ ⁨⁨1⁩ ⁨year⁩ ago⁩:

  I may be wrong or have misunderstood what you said but the sets of natural numbers and odd numbers have the same size/cardinality. If there exists a bijection between the two sets then they have the same size.

  f(x) = 2x + 1 is such a bijection

  For the same reason, N, Z and Q have the same cardinality. The fact that each one is included in the next ones doesn’t mean their size is different.