Back to 2.7 Logical Arguments

2.7 Exercise 3

Avg difficulty 2.5

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

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

OpenStax Contemporary Mathematics, 2.7 Logical Arguments, exercise 3

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