I think a crucial characteristic of the One Ring is that it is unique. Thus it is impossible to have ten of them.
You ask what would be true if there were ten One Rings. Fact is: Everything would be true. For you can proove everything starting on an absurde assumption ("Ex falso quodlibet"). That's pure logic.
You could, for example, proove that Pippin is a wizard. How? Well, if 10 rings = 1 ring, 10 = 1. The company of the ring plus Galadriel are 10 persons, thus 1 person. As Pippin is in the company and Gandalf, too, it follows that Pippin = Gandalf. Thus Pippin is a wizard, qed.
Ghâshgûl
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Hobbits and Orks, Elves and Ringwraiths, Gandalf and Saruman, Aragorn and Sauron, Lorién and Mordor, Peace and War,
Light and Darkness, White and Black, Good and Evil - did you really think it was so simple?
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