PHIL 303 - Introduction to Symbolic Logic
Winter 2018, Section 001
 Instruction Mode: Section 001 is (see other Sections below) Subject: Philosophy (PHIL) Department: LSA Philosophy
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Details

Credits:
4
Requirements & Distribution:
BS, MSA, QR/1
Credit Exclusions:
No credit granted to those who have completed or are enrolled in PHIL 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

Logic aims to clarify principles of good reasoning in a range of areas: ordinary day-to-day reasoning as well as more abstract investigations in mathematics and the physical sciences. A basic guiding idea is the idea that logically good reasoning is 'truth-preserving'. ('Truth-preserving' reasoning cannot fail to take you from true premises to true conclusions. If the premises of truth-preserving reasoning are true, the conclusions must be as well.) So one goal we have in the study of logic is to get a grip on which forms of argument are truth-preserving and which are not. Another guiding idea is that the steps of a good argument should be “simple”, or “obvious”, or “clear”; so another goal will be to get an informative analysis of what it is for a step in an argument to be “simple”, or “obvious”, or “clear”.

In this course, we study two simple yet powerful systems of formal logic — 'sentential' logic, and 'predicate' logic. In the course of learning these systems, we will have the chance to apply formal techniques in analyzing arguments, and to solve practical problems. After mastering these systems, we'll address some 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. That is, we'll develop techniques for studying the systems themselves: what can be proven in these systems? How do we know that the systems are reliable? And along the way, we will learn to employ the extremely important tool of mathematical induction.

Course Requirements:

Weekly homework assignments, a midterm examination & a final examination

Intended Audience:

No previous training in logic is required.

Class Format:

2 hrs of lecture per week and 2 hours of problem-solving/discussion section

Schedule

PHIL 303 - Introduction to Symbolic Logic
Schedule Listing
001 (LEC)
In Person
31707
Open
4

-
 MW 2:30PM - 4:00PM 2260 USB
002 (DIS)
In Person
31708
Open
2

-
 W 5:00PM - 6:00PM 3347 MH
003 (DIS)
In Person
31709
Open
1

-
 Th 4:00PM - 5:00PM 1460 MH
004 (DIS)
In Person
31710
Open
1

-
 W 4:00PM - 5:00PM 2024 TISCH

Textbooks/Other Materials

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Syllabi

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