Read and analyse the following brief argument:

If God is loving, then it follows that he will not allow innocent beings to suffer. But he does allow all manner of innocent suffering. Therefore, it follows that God cannot be loving.

Answer all three of the following questions:

(a) Use propositional logic to put the following argument into logical form. (Use p, q, etc, and either symbols or words for the connectors.)

(b) Is the argument valid or invalid?

(c) Answer one of the following:

If it is valid, name the kind of formal argument involved.

If it is invalid, name the kind of formal fallacy it commits.