Reference no: EM132380987
Open Logic Project - Sets Problems
Problem 1 - Show that there is only one empty set, i.e., show that if X and Y are sets without members, then X = Y.
Problem 2 - List all subsets of {a, b, c, d}.
Problem 3 - Show that if X has n elements, then ρ(X) has 2n elements.
Problem 4 - Prove rigorously that if X ⊆ Y, then X U Y = Y.
Problem 5 - Prove rigorously that if X ⊆ Y, then X ∩ Y = X.
Problem 6 - List all elements of {1, 2, 3}3.
Problem 7 - Show, by induction on k, that for all k ≥ 1, if X has n elements, then Xk has nk elements.
Show that the transitive closure of R is in fact transitive
: Relations Problems - Show that the transitive closure of R is in fact transitive
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Business could have dozens or hundreds of competitors
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Previous allegations of sweatshops
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Open Logic Project - Sets Problems
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These poems attempting to address metaphorically
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Key historical events influenced the plot and theme
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Develop annotated bibliography
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