During the Generalate of Oliva, González had written a book on the subject, which was twice turned down by all the censors; whereupon, he appealed to Pope Innocent XI in 1680 asking him to forbid the teaching of Probabilism. The Pope did not go so far, but he permitted it to be attacked. Of course, González strictly speaking had a right to appeal to the Sovereign Pontiff, but it was a most unusual performance for a Jesuit, especially as the doctrine in question was only a matter of opinion, with all the great authorities of the Society against him. It must have been with dismay that his brethren heard of his election as General by the thirteenth general congregation. It appears certain, says Brucker in his history of the Society (p. 529), that on the eve of the election the Pope expressed his opinion that González was the most available candidate. That evidently determined the suffrage, though González seems to have had no experience as an administrator. One of the first things the general did was to start a campaign against the doctrines of Gallicanism, as formulated in the famous Assembly of 1682, which every one thought was already dead and buried. His friend, Pope Innocent XI, died in August, 1689, and his successor Alexander VIII ordered González to call in all the copies that had been printed. In 1691 González began to print his book which Oliva had formerly forbidden. It was run through the press in Germany without the knowledge of his assistants; copies appeared in 1694, and threw the Society into an uproar, especially as González's appeared on the title page as "Former Professor of Salamanca and actual General of the Society of Jesus." Nevertheless, at the general congregation which met in 1697 Father González was treated with the profoundest consideration. Not a word was uttered about his doctrine and assistants who were most acceptable to him were elected. Although a few more probabiliorists subsequently appeared, the Society, nevertheless, remained true to the teaching of Suárez, Lugo, Laymann, and their school. A quarrel then arose between Don Pedro II of Portugal and Cardinal Conti, the papal nuncio, about the revenues of certain estates. The question was referred to González, who decided in favor of the Pope, whereupon Pedro's successor, John V, closed all the Jesuit novitiates in Portugal and banished some of the Fathers from the country. González died before this affair was settled. He passed away on October 27, 1705, in the eighty-fourth year of his age. He had been a Jesuit for sixty-three years, and during nineteen years occupied the post of General.