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Mathematics, 13.02.2020 20:46, PBWaffles4864
1. Consider the following hypotheses:
H1 : ∃x (p(x) ∧ q(x)) H2 : ∀x (q(x) → r(x))
Use rules of inference to prove that the following conclusion follows from these hypotheses:
C : ∃x (p(x) ∧ r(x))
Clearly label the inference rules used at every step of your proof.
2. Consider the following hypotheses:
H1 : ∀x (¬C(x) → ¬A(x)) H2 : ∀x (A(x) → ∀y B(y)) H3 : ∃x A(x)
Use rules of inference to prove that the following conclusion follows from these hypotheses:
C : ∃x (B(x) ∧ C(x))
Clearly label the inference rules used at every step of your proof.
3. Consider the following predicate quantified formula:
∃x ∀y (P (x, y) ↔ ¬P (y, y))
Prove the unsatisfiability of this formula using rules of inference.
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Answers: 1
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Mathematics, 22.06.2019 02:00, teagan1716
Rachel is studying the population of a particular bird species in a national park. she observes every 10th bird of that species that she can find in the park. her conclusion is that the birds living in the park who belong to that species generally feed on insects. rachel's sample is . based on the sample she picked, rachel's generalization is
Answers: 2
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1. Consider the following hypotheses:
H1 : ∃x (p(x) ∧ q(x)) H2 : ∀x (q(x) → r(x))
...
H1 : ∃x (p(x) ∧ q(x)) H2 : ∀x (q(x) → r(x))
...
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