How can a god, that apparently loves everyone, allow this kind of thing to happen?

[Esquilax]

You guys should actually read up on the subject. You'll find that some people have indeed settled on the definition "able to do anything," but there are other views as well. Here's a good place to start.
http://plato.stanford.edu/entries/omnipotence/
IMO the Biblical use of almighty is closest to this explanation from the link:

Hey John? Big hint: that last part, your opinion, also needs to be justified. Surprisingly, not many of us are willing to accept, sight unseen, whatever definition of the word allows you to better make your case.

Your opinion isn't what matters: the intent of the people who wrote the book does.