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If a person says "blue is preferred to red" and "red is preferred to yellow," it still may be that the person will say "yellow is preferred to blue," hence, transitivity is violated. | If a person says "blue is preferred to red" and "red is preferred to yellow," it still may be that the person will say "yellow is preferred to blue," hence, transitivity is violated. | ||
are next-door neighbours is not but is neighbour of is! | |||
Such contextual relations can be referred to as "transitive preference" and "intransitive preference." | Such contextual relations can be referred to as "transitive preference" and "intransitive preference." | ||
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{{#ev:youtube|https://www.youtube.com/watch?v=q0xN_N7l_Kw|||||start=287}} | {{#ev:youtube|https://www.youtube.com/watch?v=q0xN_N7l_Kw|||||start=287}} | ||
=== References === | |||
* https://blog.plover.com/math/transitive.html | |||
* https://www.youtube.com/watch?v=_QTKlTJYKRA | |||
* | |||
[[Category:Linear Algebra]] | [[Category:Linear Algebra]] | ||