Bifalgorithm post · Brisk · Chapter 1

Is C ⇒ ¬ R true when the premise is false?

Is C ⇒ ¬ R true when the premise is false? (Brisk · Chapter 1) — "C ⇒ ¬ R ? True . (The premise is false, so all bets are off and the sentence is true.)"

Ideas in this flowchart

  • The conditional statement C ⇒ ¬R is true.
  • C ⇒ ¬R is a conditional statement.
  • The premise C is false.
  • When the premise is false, the truth of ¬R does not affect the conditional's truth.
  • Therefore, all bets are off and the sentence is true.
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Is C ⇒ ¬ R true when the premise is false?

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Brisk

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"C ⇒ ¬ R ? True . (The premise is false, so all bets are off and the sentence is true.)"

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