PHIL 303 - Introduction to Symbolic Logic
Section: 001
Term: WN 2009
Subject: Philosophy (PHIL)
Department: LSA Philosophy
Page Index

#### Details

Credits:
4
Requirements & Distribution:
BS, MSA
Credit Exclusions:
No credit granted to those who have completed or are enrolled in PHIL 203, 296 or 414.
Other Course Info:
F, W, Sp.
BS:
This course counts toward the 60 credits of math/science required for a Bachelor of Science degree.
Repeatability:
May not be repeated for credit.
Primary Instructor:

#### Description

Historically, at least two concerns have driven the development of formal systems of logic to make explicit principles of good reasoning and to systematize inquiry in mathematics and the physical sciences. Central to these concerns is the idea that good reasoning is "truth-preserving" reasoning. ("Truth-preserving" reasoning cannot fail to take one from true premises to true conclusions.) One goal we have in the study of logic is to get a grasp on which forms of argument are truth-preserving and which are not. In this course, we study two simple yet powerful systems of formal logic — "sentential" logic, which takes sentences as the basic unit of logical analysis, and "predicate" logic, which takes predicates and terms as the basic units. In the course of learning these systems, we will have the chance to apply formal techniques in analyzing ordinary, garden-variety arguments, and in solving various practical problems. Crucial additional concepts that have to be analyzed is the idea of a mechanical procedure or *algorithm*, and the idea of a formal language. This will require the course to study the abstract idea of a computing machine. After mastering these logics, we'll raise some important questions concerning their power and dependability. In order to answer our questions we will have to develop a "meta-theory" for the systems we've studied. And along the way, we will learn to employ the extremely important tool of mathematical induction. No previous training in logic is required. Frequent homework assignments, two midterm examinations, and a final examination.

#### Schedule

PHIL 303 - Introduction to Symbolic Logic
Schedule Listing
001 (LEC)

12487
Open
22

-
 TuTh 10:00AM - 11:30AM 1300 CHEM
003 (DIS)
P
28221
Open
10

-
 Th 3:00PM - 4:00PM G160 AH
004 (DIS)
P
28222
Open
5

-
 Th 4:00PM - 5:00PM 2271 AH
005 (DIS)
P
28831
Open
7

-
 Tu 2:00PM - 3:00PM 3401 MH

#### Textbooks/Other Materials

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#### Syllabi

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