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 exercise of conclusive arguments and figures, and it has been shown to be necessary.

But in fact in some cases we have properly granted the premises or assumptions, and there results from them something; and though it is not true, yet none the less it does result. What then ought I to do? Ought I to admit the falsehood? And how is that possible? Well, should I say that I did not properly grant that which we agreed upon? But you are not allowed to do even this. Shall I then say that the consequence does not arise through what has been conceded? But neither is this allowed. What then must be done in this case? Consider if it is not this: as to have borrowed is not enough to make a man still a debtor, but to this must be added the fact that he continues to owe the money and that the debt is not paid, so it is not enough to compel you to admit the inference that you have granted the premises, but you must abide by what you have granted. Indeed, if the premises continue to the end such as they were when they were granted, it is absolutely necessary for us to abide by what we have granted, and we must accept their consequences: but if the premises do not remain such as they were when they