1/what did the Pythagoreans believe, and how did his beliefs influences the deve

Question

1/what did the Pythagoreans believe, and how did his beliefs influences the development of science? 2/According to the earliest Greek hypothesis, the planets orbit Earth in uniform circular motion. in what way does this hypothesis disagree with simple observations made without telescope? 3/Use Copernicus's theory to explain the retrograde motion of the plantes and the fact that they are brighter during retrograde motion. 4/according to Kepler's theory, what geometric shape of fits the planetary orbits? 5/can a scientific theory be proved (can we show that the theory is certainly treu) can it be disproved? explain.

Explanation / Answer

1)Pythagoras and his students believed that everything was related to mathematics and that numbers were the ultimate reality and, through mathematics, everything could be predicted and measured in rhythmic patterns or cycles 2)Mars is further from the Sun it takes longer to travel in its orbit than the Earth. Therefore, there will be ocassions when the Earth overtakes Mars in its orbit. The line of sight is shown from the Earth to Mar is shown at different intervals. As viewed from the Earth, does Mars appears to go backward in its orbit as the Earth overtakes Mars 3)the Earth is just another planet (the third outward from the Sun), and the Moon is in orbit around the Earth, not the Sun. The stars are distant objects that do not revolve around the Sun. Instead, the Earth is assumed to rotate once in 24 hours, causing the stars to appear to revolve around the Earth in the opposite direction. The planets in such a system naturally vary in brightness because they are not always the same distance from the Earth. The retrograde motion could be explained in terms of geometry and a faster motion for planets with smaller orbits, as illustrated in the following animation 4)A planet orbits the Sun on an ellipse with the Sun at one focus. 5)scientific theory can never be proved One reason is that science depends on inductive logic vs. deductive logic. In deductive logic. the truth of the premises guarantees the truth of the conclusion of a deductively valid argument. Inductive logic does not guarantee the truth of the conclusion; the conclusion of an inductive argument is only more or less "probably" true

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