- #1
kris kaczmarczyk
- 14
- 0
- TL;DR 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: 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. "
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. "