ࡱ> (*'@ bjbjFF &,, &      & ........  $ R! ..... .. ... . : ,p ." @% . 0  R>@p p (... && ~&& History of Philosophy: Renaissance through Enlightenment (650:103); Dr. Edgar Boedeker Worksheet on Copernicus (photocopy, pp. 33-44) and Kepler (from Thomas Kuhn, photocopy, pp. 206-219) Copernicus mentions three astronomers on p. 36. Eudoxus (c. 408-355 BCE) lived in what is now Turkey, and studied astronomy in Egypt and philosophy with Plato in Athens. Callippus (c. 370-310 BCE) studied with Eudoxus, and worked with Aristotle to modify Eudoxus position with the addition of spheres (see Aristotle, Metaphysics, Book XII, Chapter 8). Eudoxus, Callippus, and Aristotle all agreed that the movements of the heavenly bodies could be explained by movements of concentric spheres that centered in the earth. They differed on just how many spheres had to be posited in order to explain the retrograde motion of the planets, i.e., the ways in which they appeared to deviate from a circular path by moving backwards. Ptolemy (c. 85-165 CE) was an Egyptian astronomer who accepted this geocentric view of the universe, but attempted to explain the apparent motion of the heavenly bodies by adding the notion of epicycles, i.e., non-concentric circles. Ptolemys basic approach to astronomy was to be the dominant one for the next 1400 years, i.e., until Copernicus. 1. What does Copernicus in the Commentariolis reject in these ancient astronomers? 2. What view of the motion of the heavenly bodies does Copernicus in the Commentariolis, despite these disagreements, retain from the ancient astronomers? Copernicus, On the Revolutions of the Heavenly Spheres (= De Revolutionibus) 3. In Copernicus letter to the Pope, what do you take to be his main reason to reject the geocentric system of astronomy in favor of the heliocentric (= sun-centered) one? Is it just that his system is better at saving the phenomena, i.e., accounting more accurately for the apparent motion of the heavenly bodies? Explain. Thomas Kuhn, The Copernican Revolution: 4. Tycho Brahe made two astronomical discoveries that were important in rejecting Aristotles view of the universe in favor of Copernicus heliocentric theory. What were these? Why was it so important to prove that they were superlunary phenomena (i.e., phenomena that occur farther away from the surface of the earth than the moon)? 5. Keplers first law of planetary motion is that the motion of the planets is elliptical, with the sun being one of the foci of the ellipse. Why was this such a momentous discovery? Which basic assumption of traditional astronomy including Copernicus did this overturn? 6. Explain, in your own words, Keplers second law of planetary motion (explained on p. 213). What was Keplers own physical explanation of this law (p. 214)? 7. Why does Kuhn call Keplers third law of planetary motion a new sort of astronomical law (p. 216)? 8. What was Keplers explanation of the number of the planets and the size of their orbits? Why do you think he found his explanation appealing? Why do we find it rather loony today? W b k  , - 3 %):h-56\]h h-6] h-5\h-!W R S <"#$$$$ $$$$$$$$$$$$$$$$$$$$a$gd-$1hP/ =!"#$%@@@ NormalCJ_HaJmH sH tH @@@ Heading 1$$@&a$5\:@: Heading 2$@&5\DAD Default Paragraph FontRiR  Table Normal4 l4a (k(No List B^@B Normal (Web)dd[$\$  z WRS<    " # 0(0x0x0x0x0x00x0x0000000000x00x00x00000   js")+4,,: 8 @  / 7   ! ::ADVV    |kL;eRȹ(o^`o(.^`.pLp^p`L.@ @ ^@ `.^`.L^`L.^`.^`.PLP^P`L.^`o(.^`.pLp^p`L.@ @ ^@ `.^`.L^`L.^`.^`.PLP^P`L.;eR |k                  -r \@  \C   p@UnknownGz Times New Roman5Symbol3& z Arial"Ah  24 3 ?rBHistory of Philosophy: Renaissance through Enlightenment (650:103)boedekerEdgar Boedeker  Oh+'00 HT p | CHistory of Philosophy: Renaissance through Enlightenment (650:103)ist boedekerf Poedoed Normal.dotPEdgar Boedekero2gaMicrosoft Word 10.0@G@%@% ՜.+,0D hp  #University Of Northern Iowa  CHistory of Philosophy: Renaissance through Enlightenment (650:103) Title  !"#$%&)Root Entry F %+1TableWordDocument&SummaryInformation(DocumentSummaryInformation8CompObjj  FMicrosoft Word Document MSWordDocWord.Document.89q