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The real numbers are made up of:

- natural numbers

- zero

- negative integers

- fractions (rational numbers)

- algebraic irrationals - like the square root of 2

- transcendental numbers - like pi

It's likely that natural numbers - counting numbers - were known before recorded history. The more unusual kinds of real numbers were gradually understood as mathematics developed. You can't say that any particular person "discovered" the real numbers.

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Q: Who discovered the real numbers?
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