exercise of conclusive arguments[1] and figures, and it has been shown to be necessary.
But in fact in some cases we have properly granted the premises[2] 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[3] that you have granted the premises (τὰ λήμματα), 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[4] such as they were when they
- ↑ These are syllogisms and figures, modes (τρόποι) by which the syllogism has its proper conclusion.
- ↑ Compare Aristotle, Topic. viii. 1, 22 (ed. J. Pac. 758). Afterwards Epictetus uses τὰ ὡμολογημένα as equivalent to λήμματα (premises or assumptions).
- ↑ "The inference," τὸ ἐπιφερόμενον. "Ἐπιφορά est 'illatio' quae assumptionem sequitur" (Upton).
- ↑ This, then, is a case of μεταπίπτοντες λόγοι (chap. vii. 1), where there has been a sophistical or dishonest change in the premises or in some term, by virtue of which change there appears to be a just conclusion, which, however, is false; and it is not a conclusion derived from the premises to which we assented. A ridiculous example is given by Seneca, Ep. 48: "Mus syllaba est: mus autem caseum rodit: syllaba ergo caseum rodit." Seneca laughs at this absurdity, and says perhaps the following syllogism (collectio) may be a better example of acuteness: "Mus syllaba est: syllaba autem caseum non rodit: mus ergo caseum non rodit." One is as good as the other. We know that neither conclusion is true, and we see where the error is. Ménage says that though the Stoics particularly cultivated logic, some of them despised it, and he mentions Seneca, Epictetus, and Marcus Antoninus. Upton, however, observes that Epictetus and Marcus Antoninus did not despise logic (he says nothing about Seneca), but employed it for their own purposes.
It has been observed that if a man is asked whether, if every A is
