The following argument claims to prove that the requirement that an equivalence relation
Chapter 8, Problem 45(choose chapter or problem)
The following argument claims to prove that the requirement that an equivalence relation be reflexive is redundant. In other words, it claims to show that if a relation is symmetric and transitive, then it is reflexive. Find the mistake in the argument.“Proof: Let R be a relation on a set A and suppose R is symmetric and transitive. For any two elements x and y in A, if x R y then y R x since R is symmetric. But then it follows by transitivity that x R x. Hence R is reflexive.”Unfortunately, we don't have that question answered yet. But you can get it answered in just 5 hours by Logging in or Becoming a subscriber.
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