Mary Louise Bringle, Ph.D.

PHI 105:  Symbolic Logic

Syllabus Fall 2001

Description:  This course is the mental equivalent to strength training.  Just as athletes work out in the weight room to build muscles which will enhance performance in their sport, so we will be “working out” with logic exercises throughout this semester to strengthen and tone our intellectual muscles.  People who are well-trained in logic can reason more powerfully than others, argue more persuasively, and critique arguments more profoundly.  Not every exercise in logic will seem to have immediate pay-off in these ways—just as not every quad lift or hamstring curl shows immediate results on the soccer field.  But the cumulative effect of a semester work at logic will be the development of a sleek and supple intellectual “machine”: your mind!

Texts:      Luckhardt & Bechtel, How to Do Things with Logic
                Exercise book to accompany Luckhardt and Bechtel
                Hand-out readings and assignment sheets

Goals:
By the end of this course, students will be able:
·       To differentiate legitimate arguments from other rhetorical ploys (e.g. appeals to emotion, opinion, etc.);
·        To recognize common fallacies of argumentation (both formal and informal);
·        To work with Venn diagrams and the modern (Boolean) square of opposition in analyzing categorical propositions;
·        To work with logical operators (~ & Ú É º ) in both verbal and symbolic form;
·        To use truth tables to assess the truth or falsity of logical propositions;
·        To analyze, construct, and critique complex arguments in defense of controversial theses.

Means of Assessment:

·        The best way to become proficient at logic is through practice.  Therefore, homework exercises are an essential part of PHI 105.  (10%)

·        Class participation (often based on the aforementioned homework exercises) is another critical component of success in PHI 105.   (10%)

·        *NOTE:  You cannot PARTICIPATE if you do not ATTEND class.  Put in the language of symbolic logic:  ~ A  É ~ P. 

Therefore, any unexcused absence will adversely affect your participation grade.  If you are absent from a test without gaining prior permission for a legitimate excuse, you should not expect to be given an opportunity to make it up.

·        Since much of logic is cumulative, if you let yourself fall behind you will have a very difficult time getting caught up.  To help prevent this from happening, I will be giving frequent unit tests (four of them, roughly every other week; the fourth is optional, and will replace the lowest prior test grade) to assure full assimilation of logical principles and practices.  All tests—not simply the midterm and final—will ask questions about material from previous units and not simply about the unit most recently covered.  (15% @ = 45%)
Unit tests are scheduled for the following dates.
September 6
September 27
October 16
November 13 (optional; replaces lowest test grade)

·        Mid-term and final examinations will give you opportunities to put your new logical “muscles” into use by both constructing and critiquing complex arguments, as well as using symbolic formulas.  (midterm 15%; final 20%)   The midterm exam is scheduled for November 1.

The final exam will be on Monday, December 10, at 1:30 p.m.

Mark your calendar NOW!

Accommodations:  If you have documented learning needs and require specific accommodations (time and a half on tests, testing in an alternate environment, etc.), please contact Sue Kuehn in the Office for Students with Special Needs (upstairs in MG) to arrange for a letter to be sent to me.  I will be happy to work with you on these matters.

Attendance, Class Behavior, and Academic Integrity:  For a detailed description of a student’s responsibility and rights, see the Brevard College Student Handbook as well as the college catalog.  While students are strongly encouraged to help on another inside and outside of class in the mastery of logic, performance on tests and exams is a strictly individual matter (unless explicitly noted as collaborative).  Therefore, any violation of the Honor Code will result in a failing grade on the exercise in question and, if repeated, in the course as a whole.

Calendar: 

TH    8/23

Introduction to Logic:  What Is a “Good” Argument?
Fallacies of the Day:  Ad hominem, Ad baculum,
Ad misericordiam

TU  8/28    

Arguments, Premises, Conclusions:  Standard Form
Fallacy of the Day:    Tu quoque
READ:  Luckhardt and Bechtel, pp. 11-17
WRITE:  Exercise 2.1, PART A  (pp. 1-4)

TH  8/30 

 Good and Bad Arguments:  Validity and Soundness
Fallacy of the Day:  Straw Man
READ:  Luckhardt and Bechtel, pp. 17-21
WRITE:  Exercise 2.2, pp. 7-8; Hand-Out Exercises

TU  9/4     

Fallacies of the Day:  Appeal to Unqualified Authority
READ:  Luckhardt and Bechtel, pp. 181-184, 192-193, 202-206
STUDY:  Table 11.1, p. 200
WRITE:  Exercise 11.1, PART A (pp. 83-88)

TH  9/6 UNIT TEST ONE
TU 9/11

Validity, Soundness, and Substitution Instances (re-visited)
Fallacy of the Day:  False Refutation by Counterexample
READ:  Luckhardt and Bechtel, pp. 140-142
WRITE:  Hand-out exercises

TH 9/13  

Enthymemes, re-visited  
Fallacy of the Day:  Incomplete Premises 
READ:  Luckhardt and Bechtel, pp. 21-23; pp. 143-145
WRITE:  Hand-out exercises

TU  9/18  

Logical Operators:  Negation (~) and Conjunction (&)
Fallacies of the Day:  Composition and Division
READ:  Luckhardt and Bechtel, pp. 24-27; 149 (bottom)-150
WRITE:  Hand-out exercises in translation of ~ and &

TH       9/20 

 Truth Tables for Negation and Conjunction
CREATE:  Chart of Truth Tables for ~ and &  (Error in L&B!!)
WRITE:  Exercise 3.1, PART A, #’s 1, 2, 4, 6; symbolize
Exercise 3.1, PART B, #’s 13 and 14; symbolize
Use your truth tables to answer T or F.

TU  9/25 

Comprehensive Review

TH 9/27

UNIT TEST TWO

TU   10/2

Logical Operators:  If / then  É
Fallacy of the Day:  Denying the Antecedent
 
READ:  Luckhardt and Bechtel, pp. 29-32
WRITE: Hand-out exercises in translating
É

TH   10/4

Truth Tables for  É
Fallacy of the Day: Affirming the Consequent
CREATE:  A Chart of the Truth Table for
É (see L&B, p. 30)
WRITE:  Exercise 3.1, PART A, #’s 9. 10, 11, 12; symbolize
 
Exercise 3.1, PART B, #’s 16-19, 21-24; symbolize
Use your truth table to answer T or F

TU 10/9 

 Necessary (“Only if”) vs.  Sufficient (“If”) Conditions
WRITE:  Hand-Out Exercises  
Exercise 3.1, PART C 

TH  10/11 

Logical Operators:  If and Only If   º
READ:   Hand-Out Exercises
WRITE:  Hand-Out Exercises

TU 10/16 UNIT TEST THREE
TH 10/18 

Logical Operators:  Disjunction (Ú) and Truth Tables
Fallacy of the Day:  False Disjunct 
READ:  Luckhardt and Bechtel, pp. 28-29; 148-149
CREATE:  Truth tables for inclusive and exclusive disjunctions
WRITE:   Hand-out exercises in translation of
Ú
Exercise 3.1, PART A, #’s 3, 5, and 7; symbolize
Exercise 3.1, PART B, #’s 15 and 22; symbolize

    FALL BREAK
TH 10/25  

 Immediate Inferences:  Double Negative, DeMorgan Laws 
READ:  L & B, pp. 33-36  
WRITE:  Ex. 3.2, PART A, 1-10

TU  10/30   

 Alternative and Disjunctive Syllogisms
FALLACY:  Affirming a Disjunct
READ:  L& B, pp. 47-53
WRITE:  Ex. 3.4, Part A, 1-8 
Ex. 3.4, Part B

TH   11/1  CUMULATIVE (MID-TERM) EXAMINATION
TU  11/6 Immediate Inferences:  Modus Ponens, Modus Tollens, 
Transposition and Conditional Syllogisms
FALLACY:  Fallacy of the Third Term
Re-visit:  Denying the Antecedent, Affirming the Consequent
READ: L&B, pp. 37-47
WRITE: Ex. 3.3, PART A, 3-13
TH   11/8 

Translating Categoricals to Conditionals, Constructing Arguments READ:  L&B, pp. 53-57
WRITE:  Ex. 3.5, PARTS A and B

TU  11/13 

UNIT TEST FOUR (optional)                    

TH  11/15 Categorical Syllogisms:  Venn Diagrams, Figure, and Mood
WRITE:  Hand-out exercises
TU  11/20 Categorical Logic:  A, E, I, and O Propositions
FALLACIES:  Illicit conversion and contraposition
WRITE:  Hand-out exercises
    THANKSGIVING BREAK
TU 11/27

Categorical Logic:  More work on Obverse, Converse, and Contrapositive

TH 11/29 Review of all formal and informal fallacies
READ:  L&B, pp. 136-155
 
WRITE:  Ex. 8.1
TU 12/4 Last Class Day:  Final Review
     
MO 12/10

FINAL EXAMINATION  (1:30 p.m.)

     

  

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                 Last updated: October 19, 2001