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Hint 1 : One of these is countably infinite, the other uncountably infinite. Hint 2 : One of these is equivalent to the rational numbers

Hint

1

: One of these is countably infinite, the other uncountably infinite.

Hint

2

: One of these is equivalent to the rational numbers

Q,

the other to the reals

R .

(5

points

)

Bonus

The diagonalization argument FAILS in one of these. Why?

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