Why did ancient Greece have so many philosophers?

They had a civilization in which some men could hang out and talk all the time, and not have to scrounge for a living. Not that many were rich, but there were rich men who could pay for their sons to listen to the philosophers, who generally ran schools. It was also accepted behavior to think about how things worked.

Why was math and science important in ancient Greece?

The Greeks applied their skills in math to help describe the stars and the planets. They theorized that the Earth may orbit the Sun and came up with a fairly accurate estimate for the circumference of the Earth.

Why do we study Greek philosophy?

Two ancient Greeks stand out as significantly more influential than the others: Plato and Aristotle. And to understand who we are, how we got here, and how we can approach the problems we face today are the reasons we study Ancient Greek philosophy today.

What is the relationship between philosophy and mathematics?

Mathematics is quantitative in nature, whereas Philosophy is qualitative. Mathematics is about numbers; Philosophy is about ideas. The key link then between the two subjects is logical problem solving. The mathematical proof and philosophical argument bear a strong resemblance.

Did Greek mathematical discoveries have great significance to the modern mathematics?

There is a significant contribution made by Ancient Greeks to the field mathematicians from fundamentals of geometry to the idea of formal proof. Greek mathematician also contributed importantly to ideas on number theory, mathematical analysis, applied mathematics, and, at times, approached close to integral calculus.

What two mathematicians discovered calculus independent of each other?

Calculus, known in its early history as infinitesimal calculus, is a mathematical discipline focused on limits, continuity, derivatives, integrals, and infinite series. Isaac Newton and Gottfried Wilhelm Leibniz independently developed the theory of infinitesimal calculus in the later 17th century.