Spring Semester 2012
Textbook: Logic for Philosophy, by Theodore Sider,
Oxford University Press, 2010,
ISBN 978-0-19-957558-9. In addition to this book, there will be some webpages and class handouts that you should consider to be required reading. The book is available at the CSUS Hornet Bookstore, but here is a website that compares book prices at many online bookstores: http://www.bookase.com. Here is a list of typos in the Sider text.
Your grade will be determined by four homework
assignments (each 14%), a midterm exam (20%), and a comprehensive final
exam (24%). Homework questions will be
handed out a week in advance of the due date. Class attendance is
optional, but you are responsible for material covered in class that
isn't in the book.
For homeworks, you are responsible for any announced changes to questions that are made after the homework is handed out but before it is due, even if you didn't attend class the day the change was made.
Late assignments, and make-up assignments: I
realize that during your college career you occasionally may be unable
to complete an assignment on time. If this happens in our course,
contact me as soon as you are able. If you promptly provide me with a good
reason for missing a test or homework assignment (illness, accident, ...), then I'll use your grade on the final
exam as your missing grade. There will be no make-up tests nor make-up
homework. I do accept late homework with a grade
penalty of one-third of a letter grade per 24-hour period beginning at
the class time the assignment is due. Examples.
If you turn in the assignment a few hours after it is due, then your A becomes an A-.
Instead, if you turn in the same assignment 30 hours late, then your A
becomes a B+. Weekends count. No late work will be accepted
after the answer sheet has been handed out (normally this will be at the
next class meeting), nor after the answers are discussed in class, even
if you weren't in class that day.
Course Description: Our course presupposes you have had a first course in deductive logic, such as Phil. 60, or have learned this material on your own. The first month will contain a review of Phil. 60, but also will enrich that material. Our goal is to appreciate what can be done with deductive symbolic logic and what can't be done. That is, we will explore the scope and limits of logic rather than its depth in one particular area.
You might think of our symbolic deductive logic as a machine for detecting argument goodness. In our course, we will not only use the machine but also study what it can and cannot do, and whether it can be revised to do other things. For example, can it show that "Obama's father is working in his office" logically implies "Someone's father is working"? Can it represent the claim that most things are massive, and the claim that there exist infinitely many numbers?
Our course will survey the deep results yielded by the developments in symbolic deductive logic. These results concern the surprising extent to which human knowledge can not be freed of contradictions, to what extent our knowledge can be expressed without loss of content inside of a formal language, and what our civilization has learned from the field of symbolic deductive logic about the limits to what people can know and about the limits of what computers can do, the major results here being the Unsolvability of the Halting Problem, the Church-Turing Undecidability Theorem for Predicate Calculus, Tarki's Undefinability Theorem for Truth in Predicate Calculus, and Gödel's Theorems about the Incompleteness of Arithmetic.
We will begin our course with a review of Phil. 60 while providing a rigorous development of both propositional logic (also called statement logic and sentential logic) and predicate logic (also called first-order logic and quantificational logic and predicate calculus). Then we will learn about their applications, extensions, meta-theory, and non-classical variants.
A good analogy for our course is that learning symbolic logic is much like learning a computer language. The big difference is that in symbolic logic the focus is on using the formal language to assess argument correctness rather than on getting a computing machine to follow its intended program. To continue with the analogy, in our course we will not be focusing on doing actual programming so much as learning the capabilities of the computer.
Relevance of logic to other subjects: If you are curious about the relevance of deductive logic to other subjects such as philosophy, mathematics, and computer science, then click on the ticket below:
Student outcome goals: The hope is that by the end of the
semester you will have achieved the following goals:
Laptops, cell phones: Photographing or recording during class is not allowed without permission of the instructor. During class, turn off your cellphone. Your computers may be used only for note taking, and not for browsing the web, reading emails, or other activities unrelated to the class. If you use a computer during class, then please sit in the back of the room or in a side row so that your monitor's screen won't distract other students.
Food: Except for water, please do not eat or drink during class. You are welcome to leave
class anytime if the need arises.
Professor: My office is in
Mendocino Hall 3022, and my weekly office hours are TuTh 9:30-10:30 and 12:00-12:30. Feel free to stop by at any of those times, or to call. If
those hours are inconvenient for you, then I can arrange an appointment
for an alternative time. You may send me e-mail at firstname.lastname@example.org or call my office at 278-7384 or the Philosophy
Department Office at 278-6424.
The fastest way to contact me is by email. My personal web page is at http://www.csus.edu/indiv/d/dowdenb/index.htm
Study tips: As you read an assignment, it is helpful first to skim the assignment to get some sense of what’s ahead. Look at how it is organized and what cues, if any, the author provides to signify main ideas (section titles, bold face, italics, full capitals, etc.). Make your own notes as you read. Stop every twenty minutes to look back over what you’ve read and try to summarize the key ideas for yourself. This periodic pausing and reviewing will help you maintain your concentration, process the information more deeply, and retain it longer. Notice connections between one section and another. You’ll be given sample questions now and then to help guide your studying for future assignments, but the homework and test questions in our course will often require you to apply your knowledge to new questions not specifically discussed in class nor in the book. This ability to use your knowledge in new situations requires study activities different from memorizing. You goal is to improve your skills, rather than to memorize information. Think of the textbook more as a math book than a novel, so re-reading is important.
Contact me at email@example.com if you'd like more information about our course.
Updated: January 23, 2012