Richard Dedekind came up the concept of Dedekind cuts, which have since become the standard definition of real numbers. A Dedekind cut for a real number x is the subset of all numbers such that are smaller than or equal to x.
real numbers
No, but the majority of real numbers are irrational. The set of real numbers is made up from the disjoint subsets of rational numbers and irrational numbers.
The Real numbers.
The set of real numbers.
The set of real numbers.
Real numbers are not a single discovery, made at a certain moment by a single person. Check the Wikipedia article on "Real numbers", section "History", for some of the key events related to real numbers.
The real set, denoted R or ℝ.
Real numbers are madeup of rational and irrational numbers
These two sets together make up the set of real numbers.
yes because real numbers are any number ever made and they can be closed under addition
The real number are the union of rational and irrational numbers.
There are two meanings for the phrase "real number". 1,000,000 is a real number no matter which of them you use. (Numbers that are not "real numbers" are "imaginary" or "complex" numbers if you're using the phrase in one sense, and "made-up" numbers like "a jillion" in the other sense.)