Which of these sentences are propositions? What are the truth values of those that are propositions?

a) Boston is the capital of Massachusetts.

b) Miami is the capital of Florida.

c) 2 + 3 =5.

d) 5 + 7 = 10.

e) x + 2 = 11.

f) Answer this question.

Solution:

Step 1

In this problem we need to find the sentences which are propositions and the truth values of those sentences that are propositions.

A proposition is a declarative statement that declares a fact which is either true or false but not both true or false.