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Pythagoras and his followers denied the existence of Irrational Numbers, believing that all quantities could be expressed as ratios of integers. This belief was challenged when they discovered that the square root of 2 could not be represented as a fraction, leading to a crisis in their mathematical philosophy. The realization of irrational numbers contradicted their foundational principles, prompting a reevaluation of their understanding of numbers.

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2w ago

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According to Pythagoras which had a real and separate existence outside your minds?

Numbers.


Why was Pythagoras known as the father of numbers?

Pythagoras is called the father of numbers because he discovered the Pythagoras theoram.


Who discovered irrational numbers?

Hippasus, However Pythagoras could not accept the existence of irrational numbers, because he believed that all numbers had perfect values. But he could not disprove Hippasus' "irrational numbers" and so Hippasus was thrown overboard and drowned.


Greek mathmetician known as the father of numbers?

pythagoras pythagoras


What was Pythagoras's motto?

all is numbers


Who is known as father of numbers?

Pythagoras.


What did Pythagoras say about atoms?

Pythagoras did not specifically discuss atoms, as the concept of the atom was developed by later philosophers like Democritus. Pythagoras focused on geometry, mathematics, and the concept of numbers as the essence of reality.


What does the word deny means to?

To "deny" means to refuse to admit the truth or existence of something, or to reject a request or demand.


Who said numbers rule the universe?

The Greek philosopher Pythagoras is often attributed to saying "Numbers rule the universe." This quote reflects his belief in the importance of mathematical principles in understanding the natural world and the underlying order of the universe.


How much numbers are there in existence?

There is an infinite amount if numbers in existence.


Who said numbers rule world?

Pythagoras


When did Pythagoras discovered irrational numbers?

NEVER