How probable is an infinite sequence of heads? A reply to Williamson

Analysis 68 (299):247–250 (2008)
It is possible that a fair coin tossed infinitely many times will always land heads. So the probability of such a sequence of outcomes should, intuitively, be positive, albeit miniscule: 0 probability ought to be reserved for impossible events. And, furthermore, since the tosses are independent and the probability of heads (and tails) on a single toss is half, all sequences are equiprobable. But Williamson has adduced an argument that purports to show that our intuitions notwithstanding, the probability of an infinite sequence is 0. In this paper, I rebut his argument.No Abstract
Keywords infinitesimal  measure  probability  infinite sequence
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DOI 10.1093/analys/68.3.247
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