Assertion: real number | /r/HasProperty | irrational
Facets:
value: in the sense of lebesgue measure
type: OTHER
Source sentences:
text: Since the set of rational numbers is countable, and the set of real numbers is uncountable, almost all real numbers are irrational.
text: A real number that is not rational is called irrational.
text: Real numbers that are not rational numbers are called irrational numbers.
text: Being countable, the set of rational numbers is a null set, that is, almost all real numbers are irrational, in the sense of Lebesgue measure.
text: Real numbers may be rational or irrational, and algebraic or non-algebraic (transcendental).
text: As a consequence of Cantor's proof that the real numbers are uncountable and the rationals countable, it follows that almost all real numbers are irrational.
text: A real number that is not rational is called irrational.