Positive statements are testable claims of fact, without any moral judgment.
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A '''positive statement''' expresses a judgment about whether a situation is desirable or undesirable (hence the term "positive"). "The world would be a better place if the [[moon]] were made of green cheese" is a positive statement because it expresses a judgment about what ought to be. Notice that there is no way of disproving this statement. If you disagree with it, you have no sure way of convincing someone who believes the statement that he is wrong.
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Positive statements are testable claims of fact, without any moral judgment that can be conclusively proven or dis-proven. Positive statements are not always true.