PHIL240 - 19b

Philosophy 240 - Intro to Logic Syllabus - Summer 2019

Course time & place: 2:00 - 3:35pm, YMCA 109/114

Instructor: Sean Conte, SRConte_AT_tamu.edu

Office hours: Before and after class by appointment, YMCA 422

Course description: An argument is a list of sentences where the last is the conclusion and the rest are premises. What makes some arguments good and others not? One answer is validity. A valid argument is one where the premises entail the conclusion. That is, if the premises were true, then the conclusion would have to be as well. Deductive logic is the formal study of validity, and the majority of this class will focus on it. Inductive logic on the other hand is concerned with probabilistic support. That is, sometimes premises do not guarantee a conclusion, but they do make it more likely to be true. Our goal here is understanding Bayes’ rule.

Text: Language, Proof, and Logic by John Barwise and John Etchemendy

DO NOT BUY USED, the code to submit assignments wont work!

Objectives: – Understand what it means for an argument to be valid. – Build techniques for proving arguments valid or invalid. – Understand what it means for an argument to be strong. – Develop a familiarity with probability and Bayes’ theorem.

Grading:

40% - Daily quizzes/assignments

40% - Weekly tests

20% - Final exam

• Disability Statement: The Americans with Disabilities Act (ADA) is a federal anti- discrimination statute that provides comprehensive civil rights protection for persons with disabilities. Among other things, this legislation requires that all students with disabilities be guaranteed a learning environment that provides for reasonable accom- modation of their disabilities. If you believe you have a disability requiring an ac- commodation, please contact Disability Services, currently located in the Disability Services building at the Student Services at White Creek complex on west campus or call 979-845-1637. For additional information, visit http://disability.tamu.edu.






Schedule

Week 1 (August 27th − 31st): Formal Language

Monday: NO CLASS - Memorial Day

Tuesday: Chapter 1 - Atomic Sentences

Wednesday: Chapter 2 - The Logic of Atomic Sentences

Thursday: Chapter 3 - Boolean Connectives

Friday: Formal Language Test (take home)/ Chapter 4 - Evaluating Sentences with Truth Tables

Week 2 (June 3rd − 7th): Basic Proofs

Monday: Chapter 4 - Evaluating Arguments with Truth Tables

Tuesday: Chapter 5/6 - Formal Proofs: Basic Rules

Wednesday: Chapters 5/6 - Formal Proofs: Sub-proof Rules

Thursday: Practice with Proofs

Friday: Practice with Proofs

Week 3 (10th − 14th): Conditionals

Monday: Basic Proofs Test

Tuesday: Chapter 7 - Translations and Truth Tables for Conditionals

Wednesday: Chapter 8 - Proofs Rules for Conditionals

Thursday: Practice with Proofs with Conditionals

Friday: Conditionals Test

Week 4 (17th − 21st): Quantified Logic

Monday: Chapter 9 - Introduction to Quantifiers

Tuesday: Chapter 10 - The Logic of Quantifiers

Wednesday: Chapter 11 - Multiple Quantifiers

Thursday: Practice with quantifiers

Friday: Quantifiers test

Week 5 (24th − 28th): Probability

Monday: Deductive versus Inductive Logic

Tuesday: Practice with basic problems

Wednesday: Bayes’ rule

Thursday: Practice with Bayes’

Friday: Probabilty test

Final Exam (July 1st):

Monday: 3:30-5:30pm

∗ Inclusive