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- Summary
- Real number are uncountable nonetheless they always have Rational neighbor

count(ℝ) > count(ℚ) ; count(ℚ) == count(ℕ)

But still in-between any members of ℝ, we are quarantine to find element of ℚ

Can someone help me understand:

For reference: https://en.wikipedia.org/wiki/Rational_number

"The rationals are a dense subset of the real numbers: every real number has rational numbers arbitrarily close to it. A related property is that rational numbers are the only numbers with finite expansions as regular continued fractions. "

But still in-between any members of ℝ, we are quarantine to find element of ℚ

Can someone help me understand:

*were are*these members of ℝ we cannot account for?For reference: https://en.wikipedia.org/wiki/Rational_number

"The rationals are a dense subset of the real numbers: every real number has rational numbers arbitrarily close to it. A related property is that rational numbers are the only numbers with finite expansions as regular continued fractions. "