Find the error in the "proof" of the following "theorem."
Chapter 8, Problem 8.1.47(choose chapter or problem)
Find the error in the "proof" of the following "theorem." "Theorem": Let R be a relation on a set A that is symmetric and transitive. Then R is reflexive. "Proof": Let a E A. Take an element bE A such that (a, b) E R. Because R is symmetric, we also have (b, a) E R. Now using the transitive property, we can conclude that (a, a) E R because (a, b) E R imd (b, a) E R.
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