One of the explanations could be that 1+1=2 is God’s creation so he can change it whenever he wants it to 1+1=3. But how can we explain such a paradox? We all heard it. Can God make a rock so hard He couldn’t lift it? A possible answer might be no, He can’t because He can’t contradict his nature. But if He can’t contradict His nature, doesn’t that make him not almighty?
As stated earlier, God is Eternal Reason. He is rational Being by excellence, and pure Spirit. God is Eternal Reason, and for that fact, He is eminently Free. By the vision of His Essence, He knows what He can do and what He cannot do. But He cannot do a specific thing because it would involve a contradiction to His Being, to His Reason. Indeed, God cannot contradict Himself.
The reason being because He seeks His own Good, and loves Himself necessarily. This is why
God cannot sin. Sin, would involve a contradiction of His Being and of His Nature. It would be akin to God no longer loving Himself, and no longer seeking His own Goodness.
God is necessary Being, and without His Will, nothing has being. Angels, who are far more intelligent than humans, can know all that is possible for them to know. They know that which is rational, and concepts that involve possible contradiction. For example, an angel naturally knows that he cannot be God, because it is beyond his power, and his nature. This would involve a contradiction of his own angelic nature. An angel, however, can seek to be as God, as Lucifer, the Archangel, wanted before he fell from Heaven into Hell, and became the Devil, Satan. And the reason is revealed by the meaning of St. Michael the Archangel’s name from the Hebrew:
“Who is like unto God?”
Satan knows that he cannot be God, that would involve a contradiction, meaning, something that is beyond his power, and his nature.
But he can be like unto God, that is, by ruling above men, like Christ would or attain to his own good under his own power.
St. Thomas on this subject, states the following:
Not that he desired to resemble God by being subject to no one else absolutely; for so he would be desiring his own ‘not-being’; since no creature can exist except by holding its existence under God. But he desired resemblance with God in this respect–by desiring, as his last end of beatitude, something which he could attain by the virtue of his own nature, turning his appetite away from supernatural beatitude, which is attained by God’s grace.
- Summa Theologica, First Part, Question 63.
Humans, however, are less intelligent than the angels. Part of the reason is that because the human is composed of body and soul, the flesh more or less slows down in humanity, the faculty of the intellect and the ability to use it properly. In addition, due to Original Sin contracted by every human being,
the human intellect has defects, most importantly of which, is ignorance.
But to address the question directly, the fact that humans are unable to understand the impossibility of logical contradictions, comes the defect in our intellects. Contrary to angels, humans are not capable of knowing all that they are capable of knowing. For that reason, it is easy for us to make errors in reasoning.
God has no such defects. As a poster has stated, a logical contradiction is essentially devoid. God is no less Omnipotent because He cannot effect that which is contradictory. It shows even more His Omnipotence which being that,
He is Infinitely Rational.