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l this examination has been made. I would venture to say no, for otherwise one would never attain to certainty and our conclusion would be always provisional. I believe that able geometricians will scarce be troubled by the objections of Joseph Scaliger against Archimedes, or by those of Mr. Hobbes [90] against Euclid; but that is because they have fully understood and are sure of the proofs. Nevertheless it is sometimes well to show oneself ready to examine certain objections. On the one hand it may serve to rescue people from their error, while on the other we ourselves may profit by it; for specious fallacies often contain some useful solution and bring about the removal of considerable difficulties. That is why I have always liked ingenious objections made against my own opinions, and I have never examined them without profit: witness those which M. Bayle formerly made against my System of Pre-established Harmony, not to mention those which M. Arnauld, M. l'Abbe Foucher and Father Lami, O.S.B., made to me on the same subject. But to return to the principal question, I conclude from reasons I have just set forth that when an objection is put forward against some truth, it is always possible to answer it satisfactorily. 27. It may be also that M. Bayle does not mean 'insoluble objections' in the sense that I have just explained. I observe that he varies, at least in his expressions: for in his posthumous Reply to M. le Clerc he does not admit that one can bring demonstrations against the truths of faith. It appears therefore that he takes the objections to be insoluble only in respect of our present degree of enlightenment; and in this Reply, p. 35, he even does not despair of the possibility that one day a solution hitherto unknown may be found by someone. Concerning that more will be said later. I hold an opinion, however, that will perchance cause surprise, namely that this solution has been discovered entire, and is not even particularly difficult. Indeed a mediocre intelligence capable of sufficient care, and using correctly the rules of common logic, is in a position to answer the most embarrassing objection made against truth, when the objection is only taken from reason, and when it is claimed to be a 'demonstration'. Whatever scorn the generality of moderns have to-day for the logic of Aristotle, one must acknowledge that it teaches infallible ways of resisting error in these conjunctures. For one has on
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