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On the other hand, for any pair of contradictory premises, one must be true and the other false. The Law of Non-Contradiction prevents both premises being true, while the [[Law of Excluded Middle]] points out that a pair of contradictory premises exhausts all possibilities. Another way of putting it is: a [[proposition]] must be either true or false—not both true and false, nor in some limbo state in between [[truth]] and falsity. This can be useful in listing all possible alternatives and refuting all of them but the correct one.<ref>{{cite web |title=Loving God with all your mind: logic and creation|author=Jonathan D. Sarfati|publisher=CMI|url=https://creation.com/loving-god-with-all-your-mind-logic-and-creation|accessdate=June 10, 2013}}</ref>
On the other hand, for any pair of contradictory premises, one must be true and the other false. The Law of Non-Contradiction prevents both premises being true, while the [[Law of Excluded Middle]] points out that a pair of contradictory premises exhausts all possibilities. Another way of putting it is: a [[proposition]] must be either true or false—not both true and false, nor in some limbo state in between [[truth]] and falsity. This can be useful in listing all possible alternatives and refuting all of them but the correct one.<ref>{{cite web |title=Loving God with all your mind: logic and creation|author=Jonathan D. Sarfati|publisher=CMI|url=https://creation.com/loving-god-with-all-your-mind-logic-and-creation|accessdate=June 10, 2013}}</ref>
Aristotle stated it in this way, that "The most certain opinion of all" was "that opposed statements cannot be at the same time true." <ref>Aristotle The Metaphysics page 83 Ann Arbor Paperbacks The University of Michigan Press 2013 translated by Richard Hope</ref>
==See also==
==See also==