Honors Interdisciplinary Seminar
(175)
Response Paper #1, Due 10/5
Section 004
Your first Response Paper should discuss some aspect of mathematical truth
and how it applies to the texts and ideas we have studied so far in the
course. Below I give some suggestions for Response Paper topics.
However, you are not limited to these topics; you are encouraged to choose
another topic that suits you, provided that your topic meets the above
criteria. In this case, please email me (szydliks@uwosh.edu)
for approval of your topic.
For this Response Paper, an intermediate step is required. I want to
ensure that your paper is focused and organized. Therefore, by Thursday,
October 1 at 11:00 am, you need to email me the introductory paragraph for
your essay. Do exactly one of the following: (a) highlight
the thesis statement in your introduction in bold-face type or (b) write a note
explaining why your introduction does not include a thesis statement. You
are, of course, allowed to change your thesis statement (or even your topic)
after this time, but you need to attend very carefully to focus and
organization.
Here are some possible topics:
- Consider the following quote by Charles P. Steinmetz (1865 - 1923):
"Mathematics is the most exact science, and its conclusions are capable
of absolute proof. But this is so only because mathematics does not attempt
to draw absolute conclusions. All mathematical truths are relative,
conditional." What does Steinmetz mean by this quote?
Carefully analyze the quote within the context of our discussions.
- Describe an imaginary conversation between Euclid and Andrew Wiles in
which they discuss the nature of mathematical truth. Though this
format offers you the opportunity to be creative, make sure that your paper
addresses the similarities and differences between their perspectives.
- Compare and contrast the nature of mathematical truth with other kinds of
truth (e.g. scientific, literary, philosophic). How might mathematical
truth be similar to other kinds of truth, and how might it be
different? (If you choose this topic, you will certainly need to
utilize some outside references.)
- For centuries, the axiomatic method has proven to be a remarkably
effective means of determining mathematical truth. But despite its
power, the axiomatic method is rarely used outside of mathematics. Why
is that? Are there disciplines or areas that might benefit by using such
a method? Where? How?
Remember to read the Response Paper parameters
and to follow them carefully. Your essays are due at the start of class on
Monday, October 5.