Philosophers
Phythagoras believed that all relationships in the world could be expressed in numbers.
The ancient Greek philosopher Pythagoras believed that all relationships in the world could be expressed in numbers. He and his followers, known as the Pythagoreans, posited that numerical relationships underlie the structure of reality, influencing everything from music to the cosmos. This belief in the mathematical nature of existence laid foundational ideas for later developments in philosophy and science.
Pythagoras was a philosopher who believed that the universe was governed by the same laws as music and numbers. He believed that everything could be explained and understood through mathematical relationships, and that numbers held a hidden power within the universe.
Pythagoras believed numbers could be used to explain the natural world.
Pythagoras believed numbers could be used to explain the natural world.
Depending on what you mean, it could be 63.0 (if the numbers are 35 & 98), or 0.63 (if the numbers are 0.35 & 0.98).
Real numbers are any numbers that could be on a number line. Rational numbers are numbers that can be expressed as fractions. Real irrational numbers are things like pi or the square root of 2.
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.
The English philosopher john Locke (1632-1704) believed that all people had rights that no government could take away. He expressed three of them as "life, liberty, and property." He believed that government should be run by the governed for their benefit.
Pythagoras and the Pythagoreans were the first to assert that mathematical harmony could be found in the universe's underlying structures. They believed that numbers and mathematical relationships were at the core of all aspects of the universe, which they called the harmony of the spheres.
It was the ancient mathematician Pythagoras whose claim to fame was the properties of right angle triangles.
The term "father of surds" is often attributed to the ancient Greek mathematician Hippasus of Metapontum. He is known for his work in irrational numbers, particularly for demonstrating the existence of numbers that cannot be expressed as the ratio of two integers, which are now considered surds. His discovery challenged the Pythagorean belief that all numbers could be expressed as whole numbers or ratios.