Abstraction in First-Order Modal Logic

Theoria 34 (3):203-207 (1968)
The first amounts, roughly, to "It is necessarily the case that any President of the U.S. is a citizen of the U.S." But the second says, "the person who in fact is the President of the U.S, has the property of necessarily being a citizen of the U.S," Thus, while (2) is clearly true, it would be reasonable to consider (3) false
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DOI 10.1111/j.1755-2567.1968.tb00351.x
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Melvin Fitting (1973). A Modal Logic Analog of Smullyan's Fundamental Theorem. Zeitschrift fur mathematische Logik und Grundlagen der Mathematik 19 (1):1-16.

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