Do your beliefs imply a Necessary being exists?

[Mystic]

That is, it's merely establishing that p -> q, not that there are good reasons to accept p.

But personally I accept p and q, just not p -> q.

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I don't know if that analogy works. There are many kinds of squares (different colors, sizes, etc.), but none of them are circular. So you can't just arbitrarily say, "Oh, we know that things of type X are logically possible; therefore, we can conclude that things of type X and Y are logically possible."

Sure, but their is still many types. Blue Squares, Squares of different size, etc..

It needs to be shown only one necessary being is possible, or the argument seems to imply many necessary beings exist.