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Reasoning with Logic

Learn to analyze arguments using Venn diagrams.

26 Lessons182 Exercises

Introducing Venn Diagrams

Sets

Counting in Sets

Complement

Intersection

Union

Set Operations and Counting

Empty Sets

Nonempty Sets

Counting with Unknowns

Limited Knowledge

Subsets

Determining Existence

Nested Subsets

Subsets and Venn Diagrams

Disjoint

Arguments

Validity

False Premises

Soundness

Diagramming Arguments

Arguments with Negation

Handling Existence

Arguing Existence

Arguing Existence and Negation

Analyzing Arguments


Course description

Continue your adventures in logic by learning how to use Venn diagrams to visualize set operations. Use sets and logic to evaluate arguments for soundness and validity. By the end of this course, you'll be able to systematically analyze a range of arguments.


Topics covered

  • Venn Diagrams
  • Euler Diagrams
  • Set Operations
  • Intersection
  • Union
  • Complement
  • Logical Quantifiers
  • Premises
  • Validity
  • Soundness
  • Syllogisms
  • Syllogism Fallacies

Prerequisites and next steps

This course is for anyone looking to sharpen their logical reasoning skills.


Prerequisites

  • Logic