PHL 3202 - Introduction to Logic

3 lecture hours 0 lab hours 3 credits
Course Description
The aim of this course is to learn about and apply some of the fundamental principles of reasoning, argumentation, and logic. Together we will focus on the construction and evaluation of arguments, the recognition and correction of fallacies in reasoning, the introduction of formal methods in deductive logic, and the structure and practice of scientific theorizing and testing. Throughout the course, we will apply this knowledge to concrete cases. Our course objective is not only to learn about the philosophical foundations and fundamentals of informal and formal logic but also to develop general critical reasoning skills that will prove valuable beyond the classroom.
Prereq: None
Note: None
This course meets the following Raider Core CLO Requirement: Think Critically
Course Learning Outcomes
Upon successful completion of this course, the student will be able to:
  • Exhibit familiarity with some of the history and philosophy of logic
  • Identify, reconstruct, and evaluate arguments in both natural language and formal language (at the level of propositional logic)
  • Identify and avoid fallacies in reasoning
  • Apply formal methods to make arguments expressed in ordinary language­­­­­­­­­­­­­­­ more precise and transparent
  • Demonstrate understanding of the meanings and truth conditions of the logical operators in propositional logic
  • Execute proofs or derivations in basic propositional logic
  • Recognize and apply fundamental elements of scientific reasoning (e.g., hypothesis construction and testing)
  • Exhibit familiarity with debates surrounding the demarcation between science and pseudoscience (e.g., naïve vs. sophisticated falsificationism) 

Prerequisites by Topic
  • None

Course Topics
  • History and philosophy of logic
  • Informal vs. formal logic
  • Inductive vs. deductive logic
  • Strength and cogency of inductive arguments
  • Validity and soundness of deductive arguments
  • Types of informal arguments
  • Forms of valid deductive arguments
  • Informal fallacies
  • Logical operators and their meanings
  • Truth conditions in propositional logic
  • Truth tables for logical operators and propositions
  • Consistency, inconsistency, contradiction, and equivalence in logic
  • Translations from natural language to propositional logic
  • Proving invalidity through the counterexample method
  • Logical proofs or derivations in propositional logic
  • Categorical arguments and universal and existential quantification
  • Hypothetical reasoning in science
  • Science as falsification (e.g., Popper)
  • Naïve falsificationism vs. sophisticated falsificationism

Coordinator
Dr. Andrew McAninch


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