6. Use symbols to write the logical form of each argument below. If the argument is valid, identify the rule of inference that guarantees its validity. Otherwise state whether the converse orinverse...
6. Use symbols to write the logical form of each argument below. If the argument is valid, identify the rule of inference that guarantees its validity. Otherwise state whether the converse orinverse error has been made (a) If there are as many rational numbers as there are irrational numbers, then the set of all irrational numbers is infinite. The set of all irrational numbers is infinite. Therefore, there are as many rational numbers as there are irrational numbers. (b) If at least one of these numbers is divisible by 6, then the product of these two numbers is divisible by 6. Neither of these numbers is divisible by 6. Therefore, the product of these numbers is not divisible by 6 (c) If I get a Christmas bonus, I'll buy a stereo. If I sell my motorcycle, I'll buy a stereo. Therefore, if I get a Christmas bonus, or if I sell my motorcycle, I'll buy a stereo
6. Use symbols to write the logical form of each argument below. If the argument is valid, identify the rule of inference that guarantees its validity. Otherwise state whether the converse orinverse error has been made (a) If there are as many rational numbers as there are irrational numbers, then the set of all irrational numbers is infinite. The set of all irrational numbers is infinite. Therefore, there are as many rational numbers as there are irrational numbers. (b) If at least one of these numbers is divisible by 6, then the product of these two numbers is divisible by 6. Neither of these numbers is divisible by 6. Therefore, the product of these numbers is not divisible by 6 (c) If I get a Christmas bonus, I'll buy a stereo. If I sell my motorcycle, I'll buy a stereo. Therefore, if I get a Christmas bonus, or if I sell my motorcycle, I'll buy a stereo