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- Nixon_diamond abstract "In nonmonotonic reasoning, the Nixon diamond is a scenario in which default assumptions lead to mutually inconsistent conclusions. The scenario is: usually, Quakers are pacifist usually, Republicans are not pacifist Richard Nixon is both a Quaker and a RepublicanSince Nixon is a Quaker, one could assume that he is a pacifist; since he is Republican, however, one could also assume he is not a pacifist. The problem is how a formal logic of nonmonotonic reasoning should deal with such cases. Two approaches can be adopted: skeptical since Nixon can neither be proved to be a pacifist nor the contrary, no conclusion is drawn; credulous since Nixon can be proved to be a pacifist in at least one case, he is believed to be a pacifist; however, since he can also be proved not to be a pacifist, he is also believed not to be a pacifist. The credulous approach can allow proving both something and its contrary. For this reason, the skeptical approach is often preferred. Another solution to this problem is to attach priorities to default assumptions; for example, the fact that “usually, Republicans are not pacifist” can be assumed more likely than “usually, Quakers are pacifist”, leading to the conclusion that Nixon is not pacifist.The name diamond comes from the fact that such a scenario, when expressed in inheritance networks, is a diamond shape. This example is mentioned for the first time by Reiter and Criscuolo in a slightly different form where the person that is both a Republican and a Quaker is a John instead of Richard Nixon.".
- Nixon_diamond wikiPageExternalLink review_of_john_horty.htm.
- Nixon_diamond wikiPageID "1579841".
- Nixon_diamond wikiPageLength "2279".
- Nixon_diamond wikiPageOutDegree "12".
- Nixon_diamond wikiPageRevisionID "695641469".
- Nixon_diamond wikiPageWikiLink Category:Non-classical_logic.
- Nixon_diamond wikiPageWikiLink Default_logic.
- Nixon_diamond wikiPageWikiLink Inheritance_network.
- Nixon_diamond wikiPageWikiLink Logic.
- Nixon_diamond wikiPageWikiLink Multiple_inheritance.
- Nixon_diamond wikiPageWikiLink Non-monotonic_logic.
- Nixon_diamond wikiPageWikiLink Pacifism.
- Nixon_diamond wikiPageWikiLink Quakers.
- Nixon_diamond wikiPageWikiLink Republican_Party_(United_States).
- Nixon_diamond wikiPageWikiLink Rhombus.
- Nixon_diamond wikiPageWikiLink Richard_Nixon.
- Nixon_diamond wikiPageWikiLinkText "Nixon diamond".
- Nixon_diamond subject Category:Non-classical_logic.
- Nixon_diamond hypernym Scenario.
- Nixon_diamond type VideoGame.
- Nixon_diamond comment "In nonmonotonic reasoning, the Nixon diamond is a scenario in which default assumptions lead to mutually inconsistent conclusions. The scenario is: usually, Quakers are pacifist usually, Republicans are not pacifist Richard Nixon is both a Quaker and a RepublicanSince Nixon is a Quaker, one could assume that he is a pacifist; since he is Republican, however, one could also assume he is not a pacifist. The problem is how a formal logic of nonmonotonic reasoning should deal with such cases.".
- Nixon_diamond label "Nixon diamond".
- Nixon_diamond sameAs Q1658911.
- Nixon_diamond sameAs Nixon-Raute.
- Nixon_diamond sameAs m.05c__v.
- Nixon_diamond sameAs Q1658911.
- Nixon_diamond wasDerivedFrom Nixon_diamond?oldid=695641469.
- Nixon_diamond isPrimaryTopicOf Nixon_diamond.