Logical Paradoxes

This is a site with many interesting paradoxes and solutions for them:

http://www.logicalparadoxes.info/

Example of one:

The Paradox of the Stone

God is all-powerful, or as theologians put it, “omnipotent”; there is nothing that he cannot do. This is part of the definition of “God”.

So can God create a stone that is so heavy that he cannot lift it? Either he can or he can’t.

If God can’t, then he isn’t all-powerful. If God can’t create a stone that he can’t lift, then there is something that he can’t do: create the stone.

If God can create a stone that is so heavy that he can’t lift it, though, then he also isn’t all-powerful. If God can create a stone that is so heavy that he can’t lift it, then there’s something that he can’t do: lift that stone.

There is, therefore, no way of answering the question above that preserves God’s omnipotence. If there is an omnipotent God, then he neither can nor can’t create a stone so heavy that he cannot lift it. This, though, is absurd; he must be either able or unable to perform this feat.