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Can The God Do Anything?
If God can do anything, can He make a mountain which is too heavy for Him to lift?
If He can make such a mountain, there is something which He cannot do: He cannot lift the mountain,
If He cannot make such a mountain, there is something which He cannot do: He cannot make the mountain.

SOURCE: WIKIPEDIA: GOD PARADOX or OMNIOPTENCE PARADOX:
God cannot do the illogical:
What is involved in this question is largely a definition game. As soon as you give a mountain the designation "too heavy to lift," you have made a hypothetical object that by its very definition is unliftable. It has no set size or weight. Its only characteristic is its inability to be lifted. Logically then, no amount of power can lift this mountain or it ceases to be. The issue then,is not really with the power of God to lift or create but with God's ability to do the illogical, such as lift the unliftable. Once an object is defined as unliftable, no amount of even infinite power can lift it. Secondly, the other issue here presupposes that God can only make mountains so large and asks if God can make one large enough to be "unliftable". This again is a definitional problem, not a power problem. It presupposes an end to infinite power. This is illogical. Can God make an unliftable mountain? No because such a thing is illogical, not because it is too big or too hard to make. Can God fail to lift an unliftable mountain? No because there is no such thing as an end to God's "lifting power". Much like God's inability to make up-downs or red-blues or light-darks or married bachelors, God cannot do the illogical or impossible.

God does not follow human ideas:
God does not have to follow our ideas of what is true and what is false. He can choose for something to be true and false at the same time.
What you are saying is counter intuitive.

By very definition an unliftable object is unliftable. If it can be lifted then it is clearly not unliftable.

A God that is omnipotent should be able to both create and lift an unliftable object. On the other hand he should also be able to be unable to lift a liftable object.

As long as he never attempts to do any of these 'impossible' things then there is no problem and the laws of nature are not violated. However, if he ever did then a paradox is created and the whole system fails.

The only way I can see around this, is if God somehow existed outside the normal laws of nature and so he could lift an unliftable object without violating any laws as he is not party to those laws.

But then I suppose a creator god could do anything as he made up all the rules in the first place.

Darwinian Wrote:
A God that is omnipotent should be able to both create and lift an unliftable object. On the other hand he should also be able to be unable to lift a liftable object.

If The God can lift an unliftable object, so the object is not anymore unliftable. An object cannot be infinitely heavy.
If the god's power is infinity so he cannot make something that has more power than him, so he cannot make anything.

Darwinian Wrote:
The only way I can see around this, is if God somehow existed outside the normal laws of nature and so he could lift an unliftable object without violating any laws as he is not party to those laws.

You're saying the normal laws, maybe outside those normal laws exist exotic or unknown laws which the god uses them, and he used them to create such a lawful universe.
There must be strange laws outside the universe because the power he used to create the universe is based on law.

An Omnipotent entity that created all the laws in the first place can do anything because he can simply change the laws to suit.

But basically, yes, I agree with what you say Smile
The question if God can do anything implies apriory that God exists. So the answer is more than clear and indoubitable: no God can not do anything because he can not do any something because he does not exist in real live but in the imagination of people.
You may ask what about miracles are they not deeds of God?
Godly miracles especially wonders of miraculous healings or even ressurection from death are from immemorable times the privelege of holly people or saints.
How they do it is a mystery ,mostly of them are of a make-believe style but some of them science is failling to explain.
That reality has not the power to disuade atheists because of the fact that not knowing does not shatter in the slightest way the fact
we know that God is a creation of men with a purpose which serves them in their dayly lives.
Here I agree with you that the problem is purely hypothetical. But don't you think it's fun to ponder the problem?
It's still a funny thing to say to theists. Gets them thinking for perhaps the first time in their lives.
God can make the unliftable mountain.
But He will also be able to lift it when asked, because there is no surpassing God's omnipotence. He created it, so He will be the only one who can command it to move.
So yes, He always be able to do anything that human logic cannot understand.
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