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Mary Louise Bringle, Ph.D. |
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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 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? |
| TU | 8/28 |
Arguments,
Premises, Conclusions: Standard
Form |
| TH | 8/30 |
Good
and Bad Arguments: Validity
and Soundness |
| TU | 9/4 |
Fallacies
of the Day: Appeal
to Unqualified Authority |
| TH | 9/6 | UNIT TEST ONE |
| TU | 9/11 |
Validity,
Soundness, and Substitution Instances (re-visited) |
| TH | 9/13 |
Enthymemes,
re-visited |
| TU | 9/18 |
Logical
Operators: Negation (~) and
Conjunction (&) |
| TH | 9/20 |
Truth
Tables for Negation and Conjunction |
| TU | 9/25 |
Comprehensive
Review |
| TH | 9/27 |
UNIT
TEST TWO |
| TU | 10/2 |
Logical
Operators: If / then
É |
| TH | 10/4 |
Truth
Tables for É |
| TU | 10/9 |
Necessary
(“Only if”) vs. Sufficient
(“If”) Conditions |
| TH | 10/11 |
Logical
Operators: If and Only If º |
| TU | 10/16 | UNIT TEST THREE |
| TH | 10/18 |
Logical
Operators: Disjunction (Ú)
and Truth Tables |
| FALL BREAK | ||
| TH | 10/25 |
Immediate Inferences: Double
Negative, DeMorgan Laws |
| TU | 10/30 |
Alternative
and Disjunctive Syllogisms |
| 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 |
| 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.) |
Last updated: October 19, 2001
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