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<p>within <a href="page.php?w=Zermelo-Fraenkel_set_theory">Zermelo-Fraenkel set theory</a> with or without the <a href="page.php?w=axiom_of_choice">axiom of choice</a> (provided Zermelo-Fraenkel set theory is <a href="page.php?w=consistency">consistent</a>, i.e., it does not contain a contradiction). There is no consensus on whether this is a solution to the problem.}}|style="text-align:center" data-sort-value="1940" | 1940, 1963?|-|style="text-align:center"| <a href="page.php?w=Hilbert%27s_second_problem">2nd</a>| Prove that the <a href="page.php?w=axiom">axiom</a>s</p><p>
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