PHIL& 120 - Introduction to Symbolic Logic (Symbolic Reasoning)5 Credits Learn skills for critical thinking and symbolic reasoning including identifying false reasoning, using Venn diagrams, syllogistic logic, and propositional logic with translation and proofs.
Pre-requisite(s) MATH 091 or higher min 2.0 Placement Eligibility Math 107, 111, 146, 180, 98 Fees
Quarters Typically Offered Fall Day, Online Winter Day, Online Spring Day, Online
Designed to Serve Students seeking QSR credit for AA-DTA degrees; students seeking Humanities Area 1 distribution credit; students with an interest in logic, mathematics, programming, systems analysis; philosophy students; students interested in argumentation and persuasion. Active Date 20220308T16:46:35
Grading Basis Decimal Grade Class Limit 32 Contact Hours: Lecture 55 Total Contact Hours 55 Degree Distributions: AA - Humanities Area I
- Quantitative Skills
Course Outline Module 1: What is Logic?
- Basic Concepts
- Identifying arguments
- Assessing arguments
Module 2: Informal Fallacies
- Why study Fallacies?
- Types of fallacies
- Recognizing Fallacies
Module 3: Categorical Propositions
- Modern Square of Opposition
- Traditional square of Opposition
Module 4: Categorical Syllogisms
- Standard from categorical syllogisms
- Venn Diagrams for assessing the validity of an argument
Module 5: Propositional Logic 1
- Logical operators and translations
- Compound statements
- Truth Functions
Module 6: Propositional Logic 2
- Using truth tables to analyze propositions
Module 7: Propositional Logic 3
- Using truth tables to analyze argument
Module 8: Natural Deduction in Propositional Logic 1
- Identify the 8 rules of implication.
- Use the 8 rules to construct argument proofs
Module 9: Natural Deduction in Propositional Logic 2
- Identify the 10 rules of replacement
- Use the 10 rules to construct argument proofs
Module 10: Natural Deduction in Propositional Logic 3
- Conditional Proof
- Indirect Proof
- Proving Logical Truths
Student Learning Outcomes Distinguish arguments from non-arguments using examples in natural language.
Distinguish inductive from deductive arguments.
Identify common fallacies in natural language arguments.
Assess the validity or invalidity of categorical arguments using Venn diagrams.
Analyze statements and arguments using truth tables.
Construct proofs in Propositional Logic using the Rules of Implication and the Rules of Replacement.
Apply techniques of Conditional Proof and Indirect Proof to proofs in propositional logic.
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