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	<title>Of wizards and gnomes</title>
	<p>The puzzle is explained as follows: an evil wizard has captured infinitely many gnomes, and is announcing they would soon – after infinite time for preparation – challenge their captives by assigning each of them a black or white hat, in such a way that each is constrained not to see their own, but all other's hats; and such that neither of them can communicate with another.</p>
	<p>Every gnome must secretly write down the color of their own hat. The gnomes are to be released if and only if finitely many of them answer incorrectly. Is there a strategy by which the gnomes can always emerge victorious?</p>
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<p class="cp">Nightmares is increasing…</p>

<a href="3r-gza9">Onwards</a>
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