Matches in SemOpenAlex for { <https://semopenalex.org/work/W4247272693> ?p ?o ?g. }
Showing items 1 to 67 of
67
with 100 items per page.
- W4247272693 endingPage "250" @default.
- W4247272693 startingPage "247" @default.
- W4247272693 abstract "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 ½, all sequences are equiprobable. Yet familiarly, it is not possible to assign all sequences the same positive (real-numbered) probability.1 So either all sequences will be assigned 0 probability, or they will not all have the same probability. Real-valued probabilities reflect our probabilistic intuitions imperfectly. In non-standard analysis (Bernstein and Wattenberg 1969), by way of contrast, it seems as if our probabilistic intuitions may be adequately reflected. Here, where the numbers include infinitesimals, larger than 0 yet smaller than any positive real number, the impossibility proof fails,2 and probabilities may be assigned so that the tosses are equiprobable and each has a positive probability." @default.
- W4247272693 created "2022-05-12" @default.
- W4247272693 creator A5065273474 @default.
- W4247272693 date "2008-07-01" @default.
- W4247272693 modified "2023-10-17" @default.
- W4247272693 title "How probable is an infinite sequence of heads? A reply to Williamson" @default.
- W4247272693 cites W2021437991 @default.
- W4247272693 doi "https://doi.org/10.1093/analys/68.3.247" @default.
- W4247272693 hasPublicationYear "2008" @default.
- W4247272693 type Work @default.
- W4247272693 citedByCount "10" @default.
- W4247272693 countsByYear W42472726932012 @default.
- W4247272693 countsByYear W42472726932014 @default.
- W4247272693 countsByYear W42472726932015 @default.
- W4247272693 countsByYear W42472726932016 @default.
- W4247272693 countsByYear W42472726932017 @default.
- W4247272693 countsByYear W42472726932019 @default.
- W4247272693 crossrefType "journal-article" @default.
- W4247272693 hasAuthorship W4247272693A5065273474 @default.
- W4247272693 hasConcept C105795698 @default.
- W4247272693 hasConcept C107673813 @default.
- W4247272693 hasConcept C114614502 @default.
- W4247272693 hasConcept C118615104 @default.
- W4247272693 hasConcept C144237770 @default.
- W4247272693 hasConcept C149441793 @default.
- W4247272693 hasConcept C2778112365 @default.
- W4247272693 hasConcept C33923547 @default.
- W4247272693 hasConcept C43596424 @default.
- W4247272693 hasConcept C49937458 @default.
- W4247272693 hasConcept C54355233 @default.
- W4247272693 hasConcept C75455068 @default.
- W4247272693 hasConcept C86803240 @default.
- W4247272693 hasConcept C97399411 @default.
- W4247272693 hasConceptScore W4247272693C105795698 @default.
- W4247272693 hasConceptScore W4247272693C107673813 @default.
- W4247272693 hasConceptScore W4247272693C114614502 @default.
- W4247272693 hasConceptScore W4247272693C118615104 @default.
- W4247272693 hasConceptScore W4247272693C144237770 @default.
- W4247272693 hasConceptScore W4247272693C149441793 @default.
- W4247272693 hasConceptScore W4247272693C2778112365 @default.
- W4247272693 hasConceptScore W4247272693C33923547 @default.
- W4247272693 hasConceptScore W4247272693C43596424 @default.
- W4247272693 hasConceptScore W4247272693C49937458 @default.
- W4247272693 hasConceptScore W4247272693C54355233 @default.
- W4247272693 hasConceptScore W4247272693C75455068 @default.
- W4247272693 hasConceptScore W4247272693C86803240 @default.
- W4247272693 hasConceptScore W4247272693C97399411 @default.
- W4247272693 hasIssue "3" @default.
- W4247272693 hasLocation W42472726931 @default.
- W4247272693 hasOpenAccess W4247272693 @default.
- W4247272693 hasPrimaryLocation W42472726931 @default.
- W4247272693 hasRelatedWork W1487159777 @default.
- W4247272693 hasRelatedWork W1605658378 @default.
- W4247272693 hasRelatedWork W1737414705 @default.
- W4247272693 hasRelatedWork W2073512429 @default.
- W4247272693 hasRelatedWork W2077245099 @default.
- W4247272693 hasRelatedWork W2331452006 @default.
- W4247272693 hasRelatedWork W2372330047 @default.
- W4247272693 hasRelatedWork W3126133028 @default.
- W4247272693 hasRelatedWork W4301058192 @default.
- W4247272693 hasRelatedWork W4312441440 @default.
- W4247272693 hasVolume "68" @default.
- W4247272693 isParatext "false" @default.
- W4247272693 isRetracted "false" @default.
- W4247272693 workType "article" @default.