EDB — 03R

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Exercises

  1. [03R] We indicate with \({\mathcal P}_{\mathfrak f}(A)\) the set of subsets \(B⊆ A\) which are finite sets. This is called colloquially the set of finite parts.

    Show that \({\mathcal P}_{\mathfrak f}(ℕ)\) is countably infinite.

    Solution 1

    [03S]

    This result applies in general, see [053].

    [ [03T]]

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  • set, of finite subsets
  • cardinality
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