No, you can’t both agree and disagree. I mean, you can, but it is unreasonable. It is like you are saying that you agree that arithmetic and geometry are two different things, but not different enough to matter. To put yourself in my position here, imagine that, as an economist, you are explaining to someone the differences between Austrian economics and Keynesian economics. You give them references to Hayek and Keynes, and they come back and say, “Yeah, but that’s just y’all’s opinions, and you’re just giving these things arbitrary names. I just don’t see any difference between a claim that macroeconomics is an exercise in futility and a claim that government ought to manage an economy. You’re all just making stuff up and have for hundreds of years.”
Not necessarily. They might exist on alien planets, but not here. Or they might exist in such a manner that some people can perceive them while some cannot. (Like 3D opticals in those pixelated images.) Implicit in the claim of actuality is possibility. It is necessary to prove the possible before the actual.
It is a claim contradicted by Immanuel Kant, and means that exitence of a thing is contingent on some property. Kant maintained that existence has no properties, and philosophers found his argument compelling until recently. Now, there is renewed controversy. It seems that existence can have the property of “bounds”. Here is an excellent introduction to the concept of existence:
http://plato.stanford.edu/entries/existence/
Yes, but without any of the meanings we have attached, like “2” for example. Like I said, where will the grid be that localizes the two stones? There are two only because we have grouped the two together. The universe recognizes no such grouping of “2”.
Incidentally, the notion that there is a universe we are living in right now and a possible other one is a statement about modality. To address any claim about it, you need modal logic. And here is an introduction to that: