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Logically invalid statements.
An invalid argument does not make sense logically. The statements in the argument are not connected in a rational way. A sound argument must not only be valid (logically connected) but also based on true premises. Therefore an argument may be unsound because it makes no logical sense, because the premises are flawed, or both.
An obverse statement is logically equivalent.
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...logically related concepts or statemtnts that seek to describe and explain development and to predict what kinds of behavior might occur under certain conditions.