Virtual Logic-Syllogisms

Mathematics, along with ethics and logic alone of the sciences, stands in no need of logic. Make of logic what the majority of treatises in the past have made of it -- that is to say, mainly formal logic, and the formal logic represented as an art of reasoning -- and in my opinion, this objection becomes more than sound, for such logic is a great hindrance to right reasoning. True mathematical reasoning is so much more evident than it is possible to render any doctrine of logic proper -- without just such reasoning -- that an appeal in mathematics to logic could only embroil a situation. On the contrary, such difficulties as may arise concerning necessary reasoning have to be solved by the logician by reducing them to questions of mathematics.