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Which of the following models are counter-models that shows that is not a logical consequence? Select one or more: □ D = {a,b}, P¹ = {(a,b), (b, b)}, Q¹ = {b}. OD=N₁ P¹ = {(n,n+ 1) : n € N}, Q¹ = {n € N:n is even}, where N = {0, 1, 2,...} denotes the natural numbers. □ D = {a,b}, P¹ = {(a, a), (b,b)}, Q¹ = {a}. □ D = {a,b,c}, PI = {(a,b), (b, c), (c, a)}, Q¹ = {a,b,c}. ○ D = N₁ P¹ = {(n, 2n) : n ≤ N}, Q¹ = {n € N:n is even}, where N = {0, 1, 2,...} denotes the natural numbers. VryP(x, y), Vr(yP(x,y) → Q(x)) ¥ VIQ (1)

Which of the following models are counter-models that shows that is not a logical consequence? Select one or more: □ D = {a,b}, P¹ = {(a,b), (b, b)}, Q¹ = {b}. OD=N₁ P¹ = {(n,n+ 1) : n € N}, Q¹ = {n € N:n is even}, where N = {0, 1, 2,...} denotes the natural numbers. □ D = {a,b}, P¹ = {(a, a), (b,b)}, Q¹ = {a}. □ D = {a,b,c}, PI = {(a,b), (b, c), (c, a)}, Q¹ = {a,b,c}. ○ D = N₁ P¹ = {(n, 2n) : n ≤ N}, Q¹ = {n € N:n is even}, where N = {0, 1, 2,...} denotes the natural numbers. VryP(x, y), Vr(yP(x,y) → Q(x)) ¥ VIQ (1)

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Which of the following models are counter-models that shows that is not a logical consequence? Select one or more: □ D = {a,b}, P¹ = {(a,b), (b, b)}, Q¹ = {b}. OD=N, P¹ = {(n,n+ 1) : n € N}, Q¹ = {n € N: n is even}, where N = {0, 1, 2,...} denotes the natural numbers. □ D = {a,b}, P¹ = {(a, a), (b,b)}, Q¹ = {a}. □ D = {a,b,c}, PI = {(a,b), (b, c), (c, a)}, Q¹ = {a,b,c}. OD=N, P¹ = {(n, 2n) : n = N}, Q¹ = {n EN:n is even}, where N = {0, 1, 2,...} denotes the natural numbers. VryP(x, y), Vr(yP(x, y) → Q(x)) ¥ VIQ(1)
Transcribed Image Text:Which of the following models are counter-models that shows that is not a logical consequence? Select one or more: □ D = {a,b}, P¹ = {(a,b), (b, b)}, Q¹ = {b}. OD=N, P¹ = {(n,n+ 1) : n € N}, Q¹ = {n € N: n is even}, where N = {0, 1, 2,...} denotes the natural numbers. □ D = {a,b}, P¹ = {(a, a), (b,b)}, Q¹ = {a}. □ D = {a,b,c}, PI = {(a,b), (b, c), (c, a)}, Q¹ = {a,b,c}. OD=N, P¹ = {(n, 2n) : n = N}, Q¹ = {n EN:n is even}, where N = {0, 1, 2,...} denotes the natural numbers. VryP(x, y), Vr(yP(x, y) → Q(x)) ¥ VIQ(1)
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