A straightened proof for the uncountability of R
نویسنده
چکیده
Cantor’s proof of this result [2, §2] makes use of nested intervals, but today a proof based on another ingenious idea of Cantor is more popular, namely the diagonal method, which he introduced in 1891 to prove the uncountability of 2 [3]. However, Cantor himself did not employ diagonalization directly in the proof of uncountability of R, but gave a rather intricate derivation of ∣ ∣2 ∣ ∣ = |R| in [4, §4]. The origin of the now standard argument for
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