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2. Which of these are propositions? What are the truth values of those that are propositions? a) Do not pass go. b) What time is it? c) There are no black flies in Maine.d)4×=5 e) The moon is made of green cheese. f) 2n>100.​

User Beetri
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Explanation:

A proposition is a statement that can be either true or false, but not both. Let's analyze each of the given expressions:

a) "Do not pass go." - This is not a proposition because it is a command or an imperative statement, not a declarative statement that can be true or false.

b) "What time is it?" - This is not a proposition because it is a question and does not make a declarative statement with a truth value.

c) "There are no black flies in Maine." - This is a proposition. Its truth value depends on whether there are indeed no black flies in Maine at a given time or place. It can be either true or false.

d) "4×=5" - This is a mathematical equation, not a proposition. It can be true or false depending on the values of x, but it is not a declarative statement itself.

e) "The moon is made of green cheese." - This is a proposition. In reality, it is false because the moon is not made of green cheese. So, the truth value of this proposition is false.

f) "2n>100." - This is a mathematical inequality, not a proposition. It can be true or false depending on the value of n, but it is not a declarative statement itself.

So, the propositions in the given list are:

c) "There are no black flies in Maine." (truth value depends on the situation)

e) "The moon is made of green cheese." (false)

User Scubadivingfool
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