LSAT Logic Games

A comprehensive introduction to LSAT Logic Games, focusing on core concepts, advanced strategies, and real-world applications.

Advanced Topics

Conditional Logic and Contrapositives

Mastering Conditional Statements

Many LSAT games use conditional logic, such as "If A is selected, then B is not." Understanding how to interpret and manipulate these statements is crucial.

Conditional Statements

  • "If X, then Y" (\( X \rightarrow Y \))
  • "If Y is not true, then X is not true" (contrapositive: \( eg Y \rightarrow eg X \))

Contrapositives

Always write the contrapositive of any conditional rule. It's logically equivalent and often easier to apply.

Common Mistakes

Don't reverse or negate incorrectly. Remember:

  • "If X, then Y" is not the same as "If Y, then X."

Applying in Games

Use arrows, symbols, or shorthand to keep track of these relationships in your diagram.

Key Formula

\[X \rightarrow Y\]

Examples

  • If a person goes to Paris, then they must not go to Rome (\( P \rightarrow eg R \)); so if someone is in Rome, they can't be in Paris (\( R \rightarrow eg P \)).

  • If team A is in group 1, then team B is in group 2; therefore, if B is not in group 2, A can't be in group 1.

In a Nutshell

Conditional logic and contrapositives unlock tough logic game rules.

Key Terms

Contrapositive
A logical statement formed by reversing and negating the original conditional.
Negation
The opposite of a statement (e.g., not X).