# Introduction to Symbolic Logic Vaishali Khandekar, PhD Course Description: PREREQUISITE(S): CO-REQUISITE(S): FREQUENT REQUISITES

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1 Introduction to Symbolic Logic PHIL Fall 2013 (3 Credit Hours) HCC Northwest College Tuesday, Thursday 11:00 AM 12:30 PM Instructor: Vaishali Khandekar, PhD Katy Campus, Room Office hours: Tuesday Thursday, by appointment Course Description: An introduction to Symbolic Logic, focusing on Propositional Logic with some Predicate Logic, emphasizing the rules of translating language into symbols, the rules of inference and replacement, and the mechanism of reasoning used by computers. This course stresses the HCC Core Objectives of Critical Thinking, Communication Skills, Empirical and Quantitative Literacy, and Teamwork. PREREQUISITE(S): Must be placed into college-level reading or be placed into college-level writing. CO-REQUISITE(S): GUST 0342 and ENGL 0310 ENGL 0349 FREQUENT REQUISITES College Level Reading College Level Mathematics College Level Writing

2 Course Goals This course focuses on the technical analysis of reasoning and its applications to constructing and testing of both natural language, pictorial, and empirical arguments using a formal, symbolic system. Students learn how to recognize, analyze, and assess rational appeals in both rhetoric and science by using a formal system of logic. Students will consider both the semantic and syntactic elements of logic as it relates to simple statements as well as those that apply to classes of individuals and express relations between classes and/or individuals. Student Learning Outcomes: 1. Recall and Identify the core components of articulated meaning understood from a logical perspective, both classical and contemporary. 2. Construct arguments using English sentences, then Interpret sentences in a manner that preserves their precise meaning when translated into standard form. 3. Apply Truth Table method to arguments in order to determine whether valid, or not-valid, then Articulate the understanding that Truth Tables provide for distinguishing between kinds of truth-functional statements, and sets of statements, logical equivalence, and logical implication. 4. Apply the rules of inference and replacement rules to Construct justified proofs of symbolic arguments, then Implement methods of conditional and indirect proof, including the proof of theorems. 5. Represent statements in predicate logic in symbolic form and Apply to categorical statements from classical logic. Learning Objectives: 1.1 Acquire a broad familiarity with logic and its relation to the determination and expression of meaning, its formal development, and history. 1.2 Learn terms, relational operators, definitions, and concepts necessary for a truthfunctional system of propositional and predicate logic, and the meaning of validity, logical proof, and fallacy. 1.3 Identify premises and conclusions of arguments; Distinguish between deductive and inductive arguments. 2.1 Cultivate comprehension of relational meaning by noting what sentences can be used to create arguments, then Translate these into standard form symbolic language. 3.1 Learn full and shortened Truth Table methods for testing the validity of arguments. 3.2 Articulate the relevance of truth to logic and it s relation to logical implication and fallacious reasoning.

4 HW11 Last day for student withdra Course Calendar: Week 1 14-Jan Introduction, Syllabus 16-Jan Introduction to Logic, Unit HW 1 W2 21-Jan Unit Jan Unit HW2 W3 28-Jan Unit 2.1, Sentential Logic 30-Jan Unit HW3 W4 4-Feb Truth Values 6-Feb Unit HW4 Unit Symbolizing English W5 11-Feb sentences 13-Feb Unit , HW5, Quiz 1 W6 18-Feb Unit Truth Tables 20-Feb Unit HW6 W7 25-Feb Unit Feb Unit HW7 W8 4-Mar Review 6-Mar Mid Term Exam HW8 11-Mar Spring Break 13-Mar Spring Break HW9 W9 18-Mar Unit Rules of Inference 20-Mar Unit 7.3 HW10 W10 25-Mar Unit Mar Unit , Quiz 2 March 31, 4.30 pm. Quiz 2 W11 1-Apr Unit 8.1 Rules of Replacement 3-Apr Unit 8.2 HW12 W12 8-Apr Unit Apr Unit 9.1 Conditional proof HW13 W13 15-Apr Unit 9.2 Indirect proof, Quiz 3 17-Apr Unit HW14 W14 22-Apr Unit Apr Unit 9.6 HW15 W15 29-Apr Unit May Review W16 6-May FINAL EXAM

5 For a continuously updated calendar with specific instructions and due dates for assignments, please see the Eagle Online course shell for this course. Grades and weights Total Course Grade -500 points Weekly Homework- 10 points x 15 weeks 150 points (30%) Quizzes- Definitions &/ SRQ 50 points x points (30%) Mid-Term points (20%) Final Exam points (20%) Grading Policy: All grades will be calculated according to a percentage of total points. The total number of points for this term is 700. The term grade legend follows: A = 90% to 100% (630 to 700 point) 4 points per semester hour B = 80% to 89.9% (560 to 629 points) 3 points per semester hour C = 70% to 79.9% (490 to 559 points) 2 points per semester hour D = 60% to 69.9% (420 to 489 points) 1 point per semester hour F = 0% to 59.9% (000 to 419 points) 0 points per semester hour FX (Failure due to non-attendance) 0 points per semester hour IP (In Progress) 0 points per semester hour W (Withdrawn) 0 points per semester hour I (Incomplete) 0 points per semester hour AUD (Audit) 0 points per semester hour IP (In Progress) is given only in certain developmental courses. The student must re-enroll to receive credit. COM (Completed) is given in non-credit and continuing education courses. FINAL GRADE OF FX: Students who stop attending class and do not withdraw themselves prior

7 Make-up Policy: Students are responsible for materials covered in-class and online during their absences, and it is the student's responsibility to contact and consult with the instructor for make-up assignments. In addition, any student who is absent on posted exam dates should be prepared to schedule the make-up of missed examinations on the first day of returning to class. Make-up examinations are taken by appointment at the campus Testing Center. This scheduling cannot occur during class time. Any other assignments not turned in on time (due to absences) must also be either turned in, or scheduled for late submission on the first day of returning to class. Finally, there will be no extension of due dates and/or make-ups for Online Requirements. Except for a medical excuse or documented family or personal emergency, there is no exemption from these rules. Attendance and Withdrawal Policy: HCC Students are expected to attend class regularly. A daily record of absences will be maintained throughout the semester. NOTE: It is the responsibility of the student to drop, or officially withdraw from this course. Your instructor will withdraw a student if and only if provided a written request from that student. Additionally, system-wide rules affect withdrawals: (1) Students who repeat a course for a third, or more times, may face a significant tuition/fee increase at HCC and other Texas public colleges and universities. (2) The Texas Legislature passed a law limiting new students (those starting college in Fall 2007) to no more than six total course withdrawals throughout their academic career in obtaining a baccalaureate degree. There may be future penalties imposed. (3) No student may withdraw from a course following the set "last date to withdraw", which for Fall 2013 on Friday, November 1 at 4:30 pm. After that date and time, a student can only be given a grade earned, or an "I" for incomplete. Incompletes must be made up by the end of the following long semester, after which they will automatically change to a grade of "F". Students receiving an I for a course are ineligible for graduation until the I has been removed from a student s transcript. Students with Disabilities: To visit the ADA Web site, log on to click Future students, scroll down the page and click on the words Disability Information.

8 For questions, please contact Donna Price at or the Disability Counselor at Northwest College, Mahnaz Kolaini at Student Services Policies: EGLS3 Evaluation for Greater Learning Student Survey System: At Houston Community College, professors believe that thoughtful student feedback is necessary to improve teaching and learning. During a designated time near the end of the term, you will be asked to answer a short online survey of research-based questions related to instruction. The anonymous results of the survey will be made available to your professors and department chairs for continual improvement of instruction. Look for the survey as part of the Houston Community College Student System online near the end of the term.

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