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Results tagged with infinitary-logic
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user 479330
1
vote
Accepted
End elementary extension in infinitary logic of some $L_\alpha$ producing a $L_\beta$
(Turning some comments into an answer)
The definition of $L(x,\alpha+1)$ was wrong, instead it should have been $$L(x,\alpha+1)\leftrightarrow\bigvee_{n\in\omega}\bigvee_{\varphi}\exists p_1,\ldots,p_ …