Bifalgorithm post · Brisk · Chapter 1

What does ∀ x Professor(x) . False mean?

What does ∀ x Professor(x) . False mean? (Brisk · Chapter 1) — "∀ x Professor ( x ) . False. This says “everyone and ev- erything is a professor,” which is cle…

Ideas in this flowchart

  • The universal claim that everything is a professor is false.
  • Formal statement: ∀ x Professor(x).
  • The statement says that everyone and everything is a professor.
  • The claim is not true for all objects.
  • What you ate for lunch provides a counterexample.
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What does ∀ x Professor(x) . False mean?

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Brisk

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"∀ x Professor ( x ) . False. This says “everyone and ev- erything is a professor,” which is clearly not true. (Consider what you ate for lunch as a counterexample.)"

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