Back to 2.7 Logical Arguments

2.7 Exercise 1

Avg difficulty 2.5

Each pair of statements represents the premises in a logical argument. Based on these premises, apply the law of detachment to determine a valid conclusion.

  1. If Leonardo da Vinci was an artist, then he painted the Mona Lisa. Leonardo da Vinci was an artist.
  2. If Michael Jordan played for the Chicago Bulls, then Michael Jordan was not a soccer player. Michael Jordan played for the Chicago Bulls.
  3. If all fish have gills, then clown fish have gills. All fish have gills.

OpenStax Contemporary Mathematics, 2.7 Logical Arguments, exercise 1

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Adapted from Contemporary Mathematics © 2023 Rice University. Licensed under CC BY 4.0. Source: Contemporary Mathematics. Imported at revision fa7c1a1.