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 Quote by agentredlum How would you fit the reals? mathwonk fits the rationals by making a list and using a 1-1 correspondence between every member of his list and a mathwonk 'cut' Cantor proved the reals cannot be listed. How would you fit the reals?
There exists a bijection between $\mathbb{R}$ and any arbitrary small interval. So the reals can be "fitted" in any arbitrary small interval.