Final answer:
The prepositional form and truth value of a statement are determined by analyzing the sentence structure to clarify the claim and evaluating the statement's validity based on factual evidence or logical analysis.
Step-by-step explanation:
To determine the prepositional form and the truth value of a statement, we first need to identify what is being claimed or predicated and how it is being predicated. We can do this by analyzing the sentence structure, identifying the subject, and the predicate. Predicates are the parts of a sentence that tell us something about the subject, and they can help clarify what the statement is conveying.
Once we understand the statement, determining its truth value involves evaluating whether the statement is in fact true or false. We do this through logical, semantic, systemic, and empirical analysis, depending on the nature of the statement. For example, if we have the statement "Dogs are mammals", we can assess its truth value by knowing the empirical fact that dogs indeed belong to the category of mammals.
Aristotle's notion that a true statement says of something that it is what it is or that it is not what it is not provides a foundational approach. Statements with truth values are declarative sentences capable of being judged as true or false, such as "The Eiffel Tower is in Paris" or "Water boils at 100 degrees Celsius at sea level". Each of these statements can be evaluated based on factual evidence.