True or False Directions: Indicate whether each claim is true or false. All soun

Question

True or False Directions: Indicate whether each claim is true or false. All sound arguments are valid. For an argument to be inductively strong according to Proposal 3, it must be valid. If Pr(A|B) > Pr(A), then it must be the case that Pr(B|A) > Pr(B). All valid arguments have at least one premise that's a tautology. Pr(A|B) = Pr(B rightarrow A) If p and q are inconsistent, then Pr(p^q) = 0. The following argument is invalid. P^-p/Q. Some valid arguments have at least one false premise. All invalid arguments are unsound. If P Q is inductively strong according to Proposal 3, then P^R Q is also inductively strong according to Proposal 3.

Explanation / Answer

Solved the first four answers, post multiple question to get remaining answers

1) The statement is TRUE, since if the argument is solid, then it must be a valid argument with true premises

3) Pr(A|B) = Pr(A (int) B)/P(B) > P(A)

Pr(A (int) B) > P(A)P(B)

P(B|A) = P(A (int) B)/P(A) > P(A)P(B)/P(A) > P(B)

Hence the statemetn is TRUE

4) The statement is FALSE

5) P(A|B) = P(B->A)

The statement is TRUE

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