DMA7th 1.1 Propositional Logic - Exercise 1

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Which of these sentences are propositions?

What are the truth values of those that are propositions?

  1. Boston is the capital of Massachusetts.
  2. Miami is the capital of Florida.
  3. $2 + 3 = 5$.
  4. $5 + 7 = 10$.
  5. $x + 2 = 11$.
  6. Answer this question.
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In logic, a proposition is a contextual declarative statement that is either true or false, but never both.

a) Boston is the capital of Massachusetts.

Is a proposition; with the truth value True.

b) Miami is the capital of Florida.

Is a proposition; with the truth value False.

c) 2 + 3 = 5.

Is a proposition; with the truth value True.

d) 5 + 7 = 10.

Is a proposition; with the truth value False.

e) x + 2 = 11.

Is NOT a proposition; as its truth value Unknown.

f ) Answer this question.

Is NOT a proposition;