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Build a Logical Argument

Explore how to build logical arguments by connecting propositions using if-then implications and logical operators. Understand the difference between everyday arguments and logical arguments, and learn to identify valid conclusions based on premises. This lesson helps you develop skills to create well-structured arguments that lead to necessary conclusions.

What is a logical argument?

This lesson introduces the last important tool in a logician’s toolkit—an argument. So far, we’ve learned the binary languageOur logical sentences can only resolve to either true or false. based on simple propositions and how to complicate our logical sentences. An argument is where it all comes together. But we’ve been told aplenty, as children, not to argue too much. Do the children who argue a lot grow up to become logicians as adults? Not really!

Everyday use of the term argument

In everyday language, an argument typically refers to a disagreement, dispute, or verbal exchange where people present their viewpoints, opinions, or reasons to persuade or ...