Use symbols to write the logical form of each argument. If the rule is valid then identify the rule of inference that guarantees its validity, otherwise state whether converse or inverse error is made.

Solution:

Let,

p = If there are as many rational numbers as irrational numbers

q = The set of all irrational numbers is infinite

Then given statements can be written as,

p → q

q

hence,

p

The above set of arguments is not valid since it exhibits the converse error.