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- Lottery_paradox abstract "Henry E. Kyburg, Jr.'s lottery paradox (1961, p. 197) arises from considering a fair 1000-ticket lottery that has exactly one winning ticket. If this much is known about the execution of the lottery it is therefore rational to accept that some ticket will win. Suppose that an event is very likely only if the probability of it occurring is greater than 0.99. On these grounds it is presumed rational to accept the proposition that ticket 1 of the lottery will not win. Since the lottery is fair, it is rational to accept that ticket 2 won't win either—indeed, it is rational to accept for any individual ticket i of the lottery that ticket i will not win. However, accepting that ticket 1 won't win, accepting that ticket 2 won't win, and so on until accepting that ticket 1000 won't win: that entails that it is rational to accept that no ticket will win, which entails that it is rational to accept the contradictory proposition that one ticket wins and no ticket wins.The lottery paradox was designed to demonstrate that three attractive principles governing rational acceptance lead to contradiction, namely that It is rational to accept a proposition that is very likely true, It is irrational to accept a proposition that is known to be inconsistent, and is jointly inconsistent If it is rational to accept a proposition A and it is rational to accept another proposition A', then it is rational to accept A & A', The paradox remains of continuing interest because it raises several issues at the foundations of knowledge representation and uncertain reasoning: the relationships between fallibility, corrigible belief and logical consequence; the roles that consistency, statistical evidence and probability play in belief fixation; the precise normative force that logical and probabilistic consistency have on rational belief.".
- Lottery_paradox wikiPageExternalLink James.A.Hawthorne-1.
- Lottery_paradox wikiPageID "5571847".
- Lottery_paradox wikiPageRevisionID "582780667".
- Lottery_paradox hasPhotoCollection Lottery_paradox.
- Lottery_paradox subject Category:Epistemology.
- Lottery_paradox subject Category:Paradoxes.
- Lottery_paradox type Abstraction100002137.
- Lottery_paradox type Communication100033020.
- Lottery_paradox type Contradiction107206887.
- Lottery_paradox type Falsehood106756407.
- Lottery_paradox type Message106598915.
- Lottery_paradox type Paradox106724559.
- Lottery_paradox type Paradoxes.
- Lottery_paradox type Statement106722453.
- Lottery_paradox comment "Henry E. Kyburg, Jr.'s lottery paradox (1961, p. 197) arises from considering a fair 1000-ticket lottery that has exactly one winning ticket. If this much is known about the execution of the lottery it is therefore rational to accept that some ticket will win. Suppose that an event is very likely only if the probability of it occurring is greater than 0.99. On these grounds it is presumed rational to accept the proposition that ticket 1 of the lottery will not win.".
- Lottery_paradox label "Lottery paradox".
- Lottery_paradox label "Paradoxo da loteria".
- Lottery_paradox label "Парадокс лотереи".
- Lottery_paradox sameAs Paradoxo_da_loteria.
- Lottery_paradox sameAs m.0dt42q.
- Lottery_paradox sameAs Q4344861.
- Lottery_paradox sameAs Q4344861.
- Lottery_paradox sameAs Lottery_paradox.
- Lottery_paradox wasDerivedFrom Lottery_paradox?oldid=582780667.
- Lottery_paradox isPrimaryTopicOf Lottery_paradox.