Questions: What is a proposition? Give a few examples, and explain why each is a proposition.

A proposition is a statement that makes a claim (either an assertion or a denial). It is a declarative sentence that can be clearly identified as either true or false, but not both.

A proposition is a fundamental concept in logic and philosophy. It is a declarative sentence that expresses a complete thought and has a definite truth value, meaning it can be either true or false. Here are a few examples of propositions and explanations for each:

1. Example 1: "The sky is blue."

   • This is a proposition because it is a declarative sentence that makes a claim about the color of the sky. It can be verified as true or false depending on the actual color of the sky at a given time.

2. Example 2: "2 + 2 equals 4."

   • This is a proposition because it asserts a mathematical fact. It is a complete sentence that can be evaluated as true.

3. Example 3: "The Earth orbits the Sun."

   • This is a proposition because it makes a factual claim about the relationship between the Earth and the Sun. It is a complete sentence that can be verified as true based on astronomical evidence.

Each of these examples is a proposition because they are complete sentences that make specific claims, and each claim can be evaluated as either true or false.