Which of these sentences are propositions? What are the...

Which of these sentences are propositions? What are the truth values of those that are propositions?
a) Boston is the cupital 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.

Labs

Want to see this concept in action?

NEW

Explore this concept interactively to see how it behaves as you change inputs.

View Labs

Key Concepts

Proposition

A proposition is a declarative statement that is either true or false, but not both. It must unequivocally assert something that has a truth value, meaning that the statement can be evaluated clearly without ambiguity or need for additional context.

Truth Value

The truth value of a proposition refers to its assessment as either true or false. In logic, determining the truth value of a proposition is crucial because it allows for the validation of arguments and reasoning in a systematic manner.

Open Sentence

An open sentence is a statement that contains one or more variables and, as such, does not have an inherent truth value until the variables are specified. Because the truth depends on the value of the variable(s), open sentences are not considered propositions until they are instantiated with specific values.

Imperative Sentence

An imperative sentence issues a command or request rather than making a declarative statement, and consequently, it does not have a truth value. These sentences function to instruct or request action rather than assert something that can be true or false.

Transcript

Please give Ace some feedback