Preceding principles for probabilistic conditional

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Reference no: EM1358989

1. (i) From A ⇒ B to A ⇒ (B ∨ C)
(ii) From A ⇒ B and A ⇒ C to A ⇒ (B ∧ C)
(iii) From A ⇒ B to ¬B ⇒ ¬A

Which of the preceding inferences are valid for default conditionals? If it is valid, give an argument. If it is invalid, draw a counter-model with a few situations and a plausibility relation where the premises are true while the conclusion is false. Now define a probabilistic conditional A ⇒ B as saying that the conditional probability P(B|A) >

2. Which of the preceding principles are valid for this probabilistic conditional? Explain why or why not. Discuss the main difference that you found in your answers. Can you give a crisp reason why default reasoning and probabilistic reasoning are close, but different?

Reference no: EM1358989

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