Bifalgorithm post · Brisk · Chapter 1

What is an endorelation?

What is an endorelation? (Brisk · Chapter 1) — "In the above example, the two sets contained different kinds of things: people, and drinks. But many relations…

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  • Une endorelation est une relation dont les éléments gauche et droit proviennent du même ensemble.
  • Contrairement à l’exemple précédent, certaines relations relient des éléments provenant d’un même ensemble.
  • La relation « hasACrushOn » est définie entre X et X.
  • Son sens intensionnel est que x est attiré romantiquement par y lorsque (x, y) appartient à la relation.
  • Son extension probable est {(Ron, Hermione), (Hermione, Ron)}.
  • La relation « hasMoreCaloriesThan » est définie entre Y et Y.
  • Son extension est {(Mt. Dew, Dr. Pepper)}.
  • Une canette de Dr. Pepper contient 150 calories, contre 170 pour Mt. Dew.
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What is an endorelation?

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Brisk

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"In the above example, the two sets contained different kinds of things: people, and drinks. But many relations are defined in which the left and right elements are actually drawn from the same set. Such a relation is called (don’t laugh) an endorelation. Consider the relation “hasACrushOn” between X and X, whose intensional meaning is that if (x, y) ∈ hasACrushOn, then in real life x is romantically attracted to y. The extension is probably only { (Ron, Hermione), (Hermione, Ron) }, although who knows what goes through teenagers’ minds. Another example would be the relation “hasMoreCaloriesThan” between Y and Y: this relation’s extension is { (Mt. Dew, Dr. Pepper) }. (Fun fact: Dr. Pepper has only 150 calories per can, whereas Mt. Dew has 170.)"

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