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Hippasus, a Pythagorean philosopher is believed to have proven the existence of numbers that are not rational. However, this is not quite the same as "known for". Many (most?) mathematicians would not know who Hippasus was or what he did.

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Q: Who is known for his definition of irrational numbers?
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Related questions

Are some irrational numbers not real?

No. Irrational numbers by definition fall into the category of Real Numbers.


What is the definition for rational and irrational?

Rational numbers are numbers that can be written as a fraction. Irrational numbers cannot be expressed as a fraction.


Are irrational numbers never rational numbers?

Yes, irrational numbers are never rational numbers because irrational numbers can't be expressed, by definition, as a fraction of two integers.


Are all irrational numbers are surds?

Yes. The definition of a surd is "an irrational number"


What are the factors and prime factors of pi?

Pi is irrational. Irrational numbers, by definition, have no factors.


Why o10110111011110..this irrational?

It is a non-terminating, non-repeating decimal representation. That is a definition of irrational numbers.


Is every irrational number a real number and how?

The set of real numbers is defined as the union of all rational and irrational numbers. Thus, the irrational numbers are a subset of the real numbers. Therefore, BY DEFINITION, every irrational number is a real number.


Real number real number definition in math in 9th class?

the collection of rational and irrational numbeers is known as real numbers


Why you cannot write irrational numbers in fraction?

Because that is the definition of irrational numbers: They are the numbers that cannot be written as a ratio of two integers! A fraction is a ratio of two integers.


What number is both real and irrational?

All irrational numbers are Real numbers - it's part of the definition of an irrational number. Imaginary numbers are neither rational nor irrational. An example of a number that is both Real and irrational is the square root of two. Another example is the number pi.


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Pi and the square root of two are irrational numbers.


What is an irrational number between 2 and 4?

There are an infinite number of irrational numbers between 2 and 4. See the link below for the definition of irrational numbers. The two most popular irrational numbers between 2 and 4 are pi (3.14159...) and e (2.71828...).