Which of the following relations are transitive? The relations are in bold. (Remember: A relation R is transitive, when it's the case that if x R y, and y R z, then x R z). x loves y x is the father of y x is numerically identical with y the number x is greater than the number y person x survives as person y (according to Parfit) x is qualitatively identical to y x is almost the same height as y

Elements Of Modern Algebra
8th Edition
ISBN:9781285463230
Author:Gilbert, Linda, Jimmie
Publisher:Gilbert, Linda, Jimmie
Chapter1: Fundamentals
Section1.7: Relations
Problem 14E: In each of the following parts, a relation is defined on the set of all human beings. Determine...
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Which of the following relations are transitive? The relations are in bold. (Remember: A relation R is
transitive, when it's the case that if x R y, and y R z, then x R z).
x loves y
x is the father of y
x is numerically identical with y
the number x is greater than the number y
person x survives as person y (according to Parfit)
x is qualitatively identical to y
x is almost the same height as y
Transcribed Image Text:Which of the following relations are transitive? The relations are in bold. (Remember: A relation R is transitive, when it's the case that if x R y, and y R z, then x R z). x loves y x is the father of y x is numerically identical with y the number x is greater than the number y person x survives as person y (according to Parfit) x is qualitatively identical to y x is almost the same height as y
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