5 ms·
No, they really did mean 2^ℵ0. Note the earlier sentence “The set ℝ of real numbers (also called the real line) is as large as the power set of ℕ, and this car
by kevinventullo 5y ago
No, they really did mean 2^ℵ0. Note the earlier sentence
“The set ℝ of real numbers (also called the real line) is as large as the power set of ℕ, and this cardinality is denoted 2^ℵ0, or “continuum.””
So the x-y plane has cardinality 2^ℵ0 * 2^ℵ0 = 2^ℵ0.
- GolDDranks 5y agoAh, indeed. Thanks for the correction. I read there, for some reason, an implication that a plane would have a larger cardinality than a line, which isn't true. But indeed, both are 2^ℵ0.