Introduction to Logic

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Introduction to Logic Jordan Stewart-Rozema Phil 110-002 j.m.stewart-rozema@emory.edu Fall 2014 Office: Bowden 109 MTWTh 9 9:50 Hours: MTH 10-11, or by appointment Bowden 116 Description: Logic is the study of reasoning. By learning logic, you can better identify when an argument makes sense, and when someone is full of BS. In this course we will look primarily at formal logic, which uses a formal language to symbolize arguments. You will learn how to identify the structure of an argument, discern valid from invalid arguments, and use various methods to prove that an argument is valid, such as truth tables, Venn diagrams, and proofs. We will begin the semester with a brief look at informal logic, focusing on fallacies that occur in common, everyday language and on translating English sentences into logical form. Textbook: Harry J. Gensler, Introduction to Logic, second edition. ISBN 978-0-415-99651-8 Grading: Homework: 15 % Attendance: 10 % Quizzes: 25 % Midterm: 25 % Final: 25 % There will be eleven quizzes over the course of the semester. I will drop your lowest quiz score, so the final quiz grade will include ten quizzes. There will be no make up quizzes. Homework will be graded for completion. You must show consistent effort, but you do not need to get every problem right. In order to get an A, do all of the problems every week all the way through. A B grade would be doing most of the problems or not attempting to finish the problems once you encounter difficulty. Try again if you get stuck, and show me the process you went through. You will not be graded down for incorrect answers, only for lack of work. If you miss class on a Monday, turn your homework in on Tuesday. I might occasionally assign other reading or homework besides the weekly problem sets from the textbook, and may offer opportunities for extra credit. I will provide details then and make sure those instructions are available on Blackboard. 1

Weekly Schedule: For most weeks, the schedule will be as follows: Homework will be due on Monday. On that day we will go over problems from the homework and questions about the reading. Come prepared to ask about anything you didn t understand in the textbook and homework questions that were difficult for you. Some Mondays might also include an extra activity or group reading about logic. Tuesdays will begin with a quiz covering the previous week s material, and should take about half the class period. The other half will be devoted to new material. On Wednesdays we will also cover new material. The earlier you can start the reading for this material during the first few days of the week, or even the weekend the better. Thursdays will be review days for extra help and practice. Attendance Policy: As most Thursdays will be review days, if you feel comfortable with the material and have been receiving consistently high quiz scores, I do not require you to attend. However, if I see you struggling with the material and feel that you would benefit from the extra class time, I will ask you to start coming on those days. I highly encourage you to attend even if you do feel comfortable with the material you can always benefit from extra practice, helping your classmates, and getting a jumpstart on your homework. Procrastinators should embrace this time to lighten their Sunday-night load! Attendance is mandatory Mon-Wed, and on select Thursdays indicated on the schedule below. You are allowed three absences during the semester, so cash them in wisely. For each absence beyond that number, I will deduct 1% of your attendance grade. (I will make an exception for extenuating circumstances, such as a prolonged illness. Please talk to me as soon as an issue like this arises.) Accommodations: If you need any disability accommodations, please let me know so that I can help you acquire the arrangements you need. You might also want to contact the Office of Disability Services, Administration Building, Suite 110, phone: (404) 727-9877. Honor Code: Don t cheat. Please feel free to work together on homework, but don t just copy someone s completed work. Look at the answers in the back of the book for a pointer when you get stuck and in order to double-check your work, but don t just copy all the problems included there. Bottom line: it will help you to use your resources (which include other people), but it won t help you on the exams if you spend all your time copying. A formal version of Emory s honor code can be found here: http://catalog.college.emory.edu/academic/policy/honor_code.html. 2

Week 1: Aug. 27-28, Introduction Wed Class Introduction Thurs Introduction to Logic Reading: 1.1-1.3, 4.1-4.2 Homework: 4.2a odd Week 2: Sept. 2-4, Fallacies Mon No Class (Labor Day) Tues Review Reading and Homework, New Material: Fallacies Wed New Material: Fallacies, continued Thurs New Material: Fallacies, Argument Analysis, Mandatory Attendance Reading: 4.4-4.5, 16.1 Homework: Find and bring in fallacies Week 3: Sept. 8-11, Syllogistic Logic Normal Week: Mon Review Reading and Homework Tues Quiz on Old Material: Fallacies; New Material: Syllogistic Logic Wed New Material: Star Test for Validity Thurs Review, In-Class Work (Optional Attendance) Reading: 2.1-2.5 Homework: 2.1a 1-10, 2.2a, 2.2b, 2.2c, 2.3a 1-10, 2.4a even, 2.5a 1-10 Week 4: Sept. 15-18, Syllogistic Logic Normal Week, New Material: Venn Diagrams, Harder Translations Reading: 2.6-2.8 Homework: 2.7a 1-10, 2.6a, 2.3a 11-20 (using Venn instead of or in addition to Star Test) Week 5: Sept. 22-25, Propositional Logic Normal Week, New Material: Propositional Logic Intro, Truth Tables Reading: 6.1-6.2, 6.5-6.6 Homework: 6.1a even, 6.5a 1-6, 6.6a even Week 6: Sept. 29 Oct. 2, Propositional Logic Normal Week, New Material: Truth-Assignment Test, Harder Translations Reading: 6.7-6.9 Homework: 6.7a even, 6.7b 1-10 (use truth-assignment OR truth table), 6.8a 1-10, 6.9a 1-5 Week 7: Oct. 6-9, Propositional Logic Normal Week, New Material: Inference Rules Reading: 6.10-6.13 Homework: 6.10a odd, 6.11a odd, 6.12a odd, 6.13a Week 8: Oct. 16, Review Mon-Tues No Class (Fall Break) Wed No Class (Have some Extra Fall Break!) Thurs Homework Review and Review for Midterm, Mandatory Attendance 3

Week 9: Oct. 20-23, Propositional Logic Mon Midterm Tues, Wed New Material: Propositional Proofs Thurs Review (Opt. Attendance) Reading: 7.1 Homework: 7.1a even, 7.1b 1-10 Week 10: Oct. 27-30, Propositional Logic Normal Week, New Material: Propositional Refutations, Harder Proofs and Refutations Reading: 7.2-7.4 Homework: 7.2a even, 7.3a 5-8, 7.4a 5-8, 7.4b 1-6 Week 11: Nov. 3-6, Predicate Logic Normal Week, New Material: Predicate Translations, Proofs, Refutations Reading: 8.1-8.3 Homework: 8.1a odd, 8.2a odd, 8.3a odd, 8.3b 1-4 Week 12: Nov. 10-13, Predicate Logic Normal Week, New Material: Harder Translations and Proofs Reading: 8.4-8.5 Homework: 8.4a odd, 8.5a 1-7, 8.5b 5-9 Week 13: Nov. 17-20, Predicate Logic Normal Week, New Material: Identity Reading: 9.1-9.2 Hw: 9.1a even, 9.2a odd, 9.2b 1-5 Week 14: Nov. 24-26, Predicate Logic Mon Review Homework Tues Quiz: Embedded Predicate Translation and Identity Translation Wed-Thurs No Class (Thanksgiving Break) Hw: Read 9.3 and 9.4 by Tuesday, Dec 2. No homework problems for these sections until next weekend. Also use this weekend to do the extra credit if desired. Extra credit due Monday, Dec. 1. Week 15: Dec. 1-4, Predicate Logic Mon First ½ of class will be doing identity proofs together, second ½ Quiz: Identity Proofs New Material: Relations Reading: 9.3-9.5, you should have 9.3 and 9.4 read by Tuesday of this week Homework: 9.3a 1-15, 9.4a 10-25, 9.5a odd Week 16: Dec. 8-9, Review Mon Homework Review Tues Review for Final, Mandatory Attendance Final Exam: Thursday, 12/11, 11:30am 2:00 pm in Bowden 118 4

Grading Scale: Emory College does not allow a final grade of A+, nor grades to rise above 100% / 4.0 with additional extra credit. The maximum grade in the class will be 100%. 92 100 = A 4.0 90 91.9 = A- 3.7 87 89.9 = B+ 3.3 82 86.9 = B 3.0 80 81.9 = B- 2.7 77 79.9 = C+ 2.3 72 76.9 = C 2.0 70 71.9 = C- 1.7 67 69.9 = D+ 1.3 60 66.9 = D 1.0 5