PLS 244: Mathematical Sciences, Spring 2001
Part II, Astronomy

[Note: This syllabus represents the second half of a course; the first half is dedicated to the history of mathematics. The course is largely the product of Michael J. Crowe, and this syllabus closely follows syllabi he has used in previous years, with the exception of the final unit on astronomy and religion, which was developed for this semester's course.]

Instructor: Mr. Matthew F. Dowd
Office: 345 Decio
Office Hours: 3:00-4:00, Monday and Wednesday, or by appointment
E-Mail: Matthew.F.Dowd.11@nd.edu

Required Books:
·Michael J. Crowe, Theories of the World from Antiquity to the Copernican Revolution, 2nd edition (New York: Dover Publishing, Inc., 2001); hereafter Theories.
·Reader on Astronomy and Religion, to be purchased at O'Shaugnessey Copy Center. Contents:

  1. Lindberg, David C. and Ronald L. Numbers. "Introduction." In God and Nature: Historical Essays on the Encounter between Christianity and Science, edited by David C. Lindberg and Ronald L. Numbers, 1­18. Berkeley: University of California Press, 1986.
  2. Westman, Robert S. "The Copernicans and the Churches." In God and Nature: Historical Essays on the Encounter between Christianity and Science, edited by David C. Lindberg and Ronald L. Numbers, 76­113. Berkeley: University of California Press, 1986.
  3. Melanchthon, Philip. "Preface to On the Sphere." In Philip Melanchthon: Orations on Philosophy and Education, edited by Sachiko Kusukawa, translated by Christine F. Salazar, 105­112. Cambridge: Cambridge University Press, 1999.
  4. Barker, Peter. "The Role of Religion in the Lutheran Response to Copernicus." In Rethinking the Scientific Revolution, edited by Margaret J. Osler, 59­88. Cambridge: Cambridge University Press, 2000.
  5. Shea, William R. "Galileo and the Church." In God and Nature: Historical Essays on the Encounter between Christianity and Science, edited by David C. Lindberg and Ronald L. Numbers, 114­135. Berkeley: University of California Press, 1986.
  6. Finocchiaro, Maurice A. Selections from "Introduction." In The Galileo Affair: A Documentary History, edited by Maurice A. Finocchiaro, 27­39 (plus endnotes on 328­329). Berkeley: University of California Press, 1989.
  7. Finocchiaro, Maurice A. Selected documents. In The Galileo Affair: A Documentary History, edited by Maurice A. Finocchiaro, 49­54, 67­69, 146­153, 279­293 (plus endnotes on 330, 333, 344­346, 362­363). Berkeley: University of California Press, 1989.

Books on reserve:
The following books are held in the reserve book room:
·Blackwell, Richard. Galileo, Bellarmine, and the Bible
·Blackwell, Richard. Science, Religion and Authority: Lessons from the Galileo Affair.
·Brooke, John. Science and Religion: Some Historical Perspectives.
·Evans, James, The History & Practice of Ancient Astronomy .
·Feldhay, Rivka. Galileo and the Church: Political Inquisition or Critical Dialogue?
·Fantoli, Annibale. Galileo: For Copernicanism and for the Church.
·Finocchiaro, Maurice. The Galileo Affair: A Documentary History.
·Gingerich, Owen, The Eye of Heaven: Ptolemy, Copernicus, Kepler.
·Hoskin, Michael, ed. The Cambridge Illustrated History of Astronomy. Cambridge: Cambridge University Press, 1997.
·Langford, Jerome. Galileo, Science, and the Church.
·Lindberg, David C. and Ronald L. Numbers. God and Nature: Historical Essays on the Encounter between Christianity and Science.
·Kuhn, Thomas, The Copernican Revolution.
·
Machamer, Peter. The Cambridge Companion to Galileo.
·Melanchthon, Philip. Philip Melanchthon: Orations on Philosophy and Education.
·Neugebauer, Otto, The Exact Sciences in Antiquity; see esp. Appendix I: "The Ptolemaic System."
·Taton, René, and Curtis Wilson (eds.), Planetary Astronomy from the Renaissance to the Rise of Astrophysics, Part A: Tycho Brahe to Newton.
·Westman, Robert (ed.), The Copernican Achievement; see esp. pp. 354­83.Planetary Astronomy from the Renaissance to the Rise of Astrophysics, Part A: Tycho Brahe to Newton.
·Westman, Robert (ed.), The Copernican Achievement; see esp. pp. 354­83.

Grading:
The grades for this section of the course will be determined as follows:

Class Participation 10%
Astronomy Problems/Exercises 10%
Ptolemy/Copernicus Essay 40%
Astronomy/Religion Essay 30%
Final Exam 10%

·Class participation will be assessed based on both the quantity and quality of your contributions to the in-class discussions. More than two absences will automatically lower your participation grade; repeated late arrivals will also lower your grade.
·The astronomy problems/exercises come from Theories. Answers should be explained, not simply stated. You may discuss the problems with other students, but you may not plagiarize someone else's answers.
·Essays will be evaluated primarily for content. Each essay must be organized around a concise thesis, with arguments that defend that thesis. Essays should be free of typographical errors, and should conform to the assigned length (slightly longer papers will be acceptable, providing their length does not arise simply from sloppy prose). Repeated mistakes in grammar or style will adversely affect your grade. Late papers will automatically be penalized.
·The final exam will be cumulative. A list of questions will be distributed on the last day of class. Students must choose two questions, one from each part of the exam, and turn in their essays at the scheduled final time for their section.

Class Schedule

All assignments are due at the beginning of class. Readings should be completed before coming to the class under which they are listed.

Unit II

Mar. 5: Celestial Appearances
Reading: Preface and Ch. 1 of Theories.
Note
: As you progress through the first three chapters, perform the problems (12 of them) and exercises (3 of them). You will also perform the problems (6 of them) in chapter 6

Mar. 7: Greek Astronomy Before Ptolemy and Mathematical Techniques
Reading: Chs. 2­3 of Theories.

Spring Break

Mar. 19: Ptolemy
Reading: Chs. 4 of Theories.
Assignment
: Astronomy Problems/Exercises of Chs. 1­3 due.

Mar. 21: Ptolemy, continued, and Medieval Astronomy
Reading: Ch. 5 of Theories.

Mar. 26: Copernicus
Reading: Begin Ch. 6 of Theories.

Mar. 28: Copernicus, continued, and Brahe.
Reading: Finish Ch. 6 and read Ch. 7 of Theories.
Assignment
: Astronomy Problems/Exercises of Ch. 6 due.

Apr. 2:Kepler and Galileo
Reading: Chs. 8­9 of Theories.

Apr. 4: Responses and Review
Reading: Epilogue of Theories.

Apr. 9: Debate: Ptolemaic versus Copernican
Note: Attendance at this session is required. We will stage a debate between the Ptolemaic and Copernican (and perhaps Tychonic) systems, based on the positions taken in the essays.
Assignment: Ptolemy/Copernicus Essay due. In an essay of 5­6 pages, defend either the Ptolemaic or Copernican system using information available in 1615. (You may also choose to defend the Tychonic system if you wish; if you do so, be sure to demonstrate your understanding of both the geocentric and heliocentric systems.) In defending your position, make clear that you understand the opposing system(s), but argue for one in particular. You must determine what information would be most relevant in 1615 to deciding between the positions, but be sure to discuss a wide range of issues.

Unit III

Apr. 11: Science and Religion
Reading: Lindberg and Numbers, "Introduction."
Recommended Reading: Brooke,"Interaction between Science and Religion: Some Preliminary Considerations," ch. 1 of Science and Religion: Some Historical Perspectives, which is held in the reserve book room.

Easter

Apr. 18: Copernican Astronomy and Religion, 1543­1616
Reading: Westman, "The Copernicans and the Churches."

Apr. 23: Lutheran Reactions to Astronomy
Reading: Melanchthon, "Preface to On the Sphere," and Barker, "The Role of Religion in the Lutheran Response to Copernicus."

Apr. 25: Copernican Astronomy and Religion, The Case of Galileo
Reading: Shea, "Galileo and the Church"; begin Finocchiaro, selections from "Introduction"

Apr. 30: The Trial of Galileo
Reading: Finish Finocchiaro, selections from "Introduction"; and read selected documents from Finocchiaro

May 2: Conclusions
Assignment: Astronomy/Religion Essay due. The essay will be approximately 3 pages long. A choice of topic questions will be distributed at least one week before the essay is due.


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