Tag Archives: transitivity

Free Money

@isomorphisms: Higgs Boson Particle to be observed on/before 31 Dec 2012 = 68.0% @Intrade bit.ly/MP3Eo0 @isomorphisms: Higgs 2013 = 80%, Higgs 2014 = 85%, Higgs 2015 = 80.1%. Oops #EMH #arb There’s $2 three years from now sitting on the … Continue reading

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the Begats

The word < is normally defined to mean less than in some quantifiable sense. For example, considering the set {3,6,1441}, one could say that 3<6<1441. But in the abstract language of partially ordered sets, < is reinterpreted many ways — … Continue reading

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You can put more than one order on a set. For example, regarding salsas from the set {mild, medium, hot}: mild < medium < hot, where < means the predicate “is less spicy than” medium ≻ hot ≻ mild, where x≻y means … Continue reading

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The Opposite of Transitivity

rock ≻ scissors ≻ paper ≻ rock “beats” is not a transitive relation. in fact, Rochambot is an example of Logical Circular Logic. Rochambot obeys the non-wellfoundedness axiom (it’s a stream). it’s the cyclic group P₃.

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