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submitted 3 weeks ago* (last edited 3 weeks ago) by intohimo@lemmy.blahaj.zone to c/asklemmy@lemmy.ml
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[-] red@lemmy.zip 1 points 3 weeks ago

because I assumed continuous mapping the number c is between a and b it means if it has to be mapped to a natural number the natural number has to be between 22 and 23 but there is no natural number between 22 and 23 , it means c is not mapped to anything

[-] jsomae@lemmy.ml 1 points 4 days ago* (last edited 4 days ago)

Then you did not prove that there is no discontiguous mapping which maps [1, 2] to the natural numbers. You must show that no mapping exists, continugous or otherwise.

this post was submitted on 23 Oct 2024
131 points (98.5% liked)

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