Why did they regard the pythagorean theorem

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Reference no: EM133665262

Questions:

Why did the Pythagoreans believe that numbers were the key to understanding nature?
Why did they regard the "Pythagorean Theorem" in particular so highly?
What examples did they have that mathematics was essential to analyzing natural phenomena in general?
To what extent did Galileo also believe that the world was organized according to numerical harmonies?
What did Galileo have to say about mathematics and its relation to nature in both the Letter to the Grand Duchess Christina and The Assayer?
Be sure to quote the famous passage in The Assayer where Galileo explains what he takes to be the relationship between mathematics and the study of nature (and please provide a page reference as well with your citation). Finally, describe briefly how Galileo used mathematics to analyze motion, like the acceleration of freely falling bodies from the Leaning Tower of Pisa, and projectile motion. What remarkable discovery did Galileo make about the paths of projectiles in particular?

For more information on these subjects, see the program filmed for Science Television, The Art of Renaissance Science.

Video:

The Art of Renaissance Science: Galileo and Perspective, Joseph W. Dauben

Reference no: EM133665262

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