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Tutorial One Exercises: 1.1 - 1.2- 1.3 - 1.4
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Exercise 1.4

1.

Can one tell whether an argument is valid or not from the following information?

(i) Its premises are true and its conclusion true.

(ii) Its premises are true and its conclusion is false.

(iii) At least one of its premises is false and its conclusion is true.

(iv) At least one of its premises is false and its conclusion is false.

2.

Can one have an invalid argument which meets the following conditions?

(i) Its premises are consistent with its conclusion?

(ii) Its premises are inconsistent and its conclusion is false.

(iii) Its premises is a necessary truth and its conclusion is true.

3.

Can one have a valid argument  which meets the following conditions?

(i) Its premises are consistent but its conclusion is false.

(ii) Its conclusion is inconsistent with the premises.

(iii) Its conclusion is inconsistent with the premises, and the premises are consistent.

(iv) The negation of its conclusion is consistent with one of the premises.

(v) The negation of its conclusion is inconsistent with the negation of one of the premises.

(vi) The negation of its conclusion is inconsistent with the negation of one of the premises, and the argument would not be valid without this premise.

 

 

 

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