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0 pointsdahart8y ago0 comments

Pairing functions only work on countable sets. This is funny because Cantor is the same person who proved real numbers are uncountable, and that there is no pairing function between 1 real number and naturals, let alone 2.

https://en.m.wikipedia.org/wiki/Countable_set

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Y_Y8y ago

I'm claiming a "pairing function" between single reals and pairs of reals. They have respective cardinalities 2^N0 and 2*2^N0=2^N0 where N0<2^N0 is the cardinality of the naturals.

dahartOP8y ago

You're right. I was wrong. I found an explanation of how to make interleaving method work. https://math.stackexchange.com/a/183383

j / k navigate · click thread line to collapse

0 pointsdahart8y ago0 comments

https://en.m.wikipedia.org/wiki/Countable_set

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Y_Y8y ago

I'm claiming a "pairing function" between single reals and pairs of reals. They have respective cardinalities 2^N0 and 2*2^N0=2^N0 where N0<2^N0 is the cardinality of the naturals.

dahartOP8y ago

You're right. I was wrong. I found an explanation of how to make interleaving method work. https://math.stackexchange.com/a/183383

j / k navigate · click thread line to collapse