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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.

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Q: What numbers are real numbers made of?
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Related questions

What number system is made by rational and irrational numbers?

real numbers


Are real numbers irrational 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.


What is a set of numbers made up of rational and irrational numbers?

The Real numbers.


What is a set of numbers made up of rational numbers and irrational numbers?

The set of real numbers.


What is made up of rational and irrational numbers?

The set of real numbers.


Who discovered 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.


Which number system is made up of the rational and irrational numbers?

Real numbers are madeup of rational and irrational numbers


Set of numbers made up of rational numbers and irrational numbers?

The real set, denoted R or ℝ.


What is the set of numbers made of rational numbers and irrational numbers?

These two sets together make up the set of real numbers.


Are real numbers closed under addition?

yes because real numbers are any number ever made and they can be closed under addition


Are natural numbers real numbers?

Yes, all natural numbers are real numbers. Natural numbers are a subset of real numbers, so not all real numbers are natural numbers.


Which number system is made-up by rational and irrational numbers?

The real number are the union of rational and irrational numbers.