21. Another line of argument refers to things which are supposed to happen and yet seem incredible. We may argue that people could not have believed them, if they had not been true or nearly true: even that they are the more likely to be true because they are incredible. For the things which men believe are either facts or probabilities: if, therefore, a thing that is believed is improbable and even incredible, it must be true, since it is certainly not believed because it is at all probable or credible. An example is what Androcles of the deme Pitthus said in his well-known arraignment of the law. The audience tried to shout him down when he observed that the laws required a law to set them right. 'Why', he went on, 'fish need salt, improbable and incredible as this might seem for creatures reared in salt water; and olive-cakes need oil, incredible as it is that what produces oil should need it.'
22. Another line of argument is to refute our opponent's case by noting any contrasts or contradictions of dates, acts, or words that it anywhere displays; and this in any of the three following connexions. (1) Referring to our opponent's conduct, e.g. 'He says he is devoted to you, yet he conspired with the Thirty.' (2) Referring to our own conduct, e.g. 'He says I am litigious, and yet he cannot prove that I have been engaged in a single lawsuit.' (3) Referring to both of us together, e.g. 'He has never even lent any one a penny, but I have ransomed quite a number of you.'
23. Another line that is useful for men and causes that have been really or seemingly slandered, is to show why the facts are not as supposed; pointing out that there is a reason for the false impression given. Thus a woman, who had palmed off her son on another woman, was thought to be the lad's mistress because she embraced him; but when her action was explained the charge was shown to be groundless.
Another example is from the Ajax of Theodectes, where Odysseus tells Ajax the reason why, though he is really braver than Ajax, he is not thought so.
24. Another line of argument is to show that if the cause is present, the effect is present, and if absent, absent. For by proving the cause you at once prove the effect, and conversely nothing can exist without its cause. Thus Thrasybulus accused Leodamas of having had his name recorded as a criminal on the slab in the Acropolis, and of erasing the record in the time of the Thirty Tyrants: to which Leodamas replied, 'Impossible: for the Thirty would have trusted me all the more if my quarrel with the commons had been inscribed on the slab.'
25. Another line is to consider whether the accused person can take or could have taken a better course than that which he is recommending or taking, or has taken. If he has not taken this better course, it is clear that he is not guilty, since no one deliberately and consciously chooses what is bad. This argument is, however, fallacious, for it often becomes clear after the event how the action could have been done better, though before the event this was far from clear.
26. Another line is, when a contemplated action is inconsistent with any past action, to examine them both together. Thus, when the people of Elea asked Xenophanes if they should or should not sacrifice to Leucothea and mourn for her, he advised them not to mourn for her if they thought her a goddess, and not to sacrifice to her if they thought her a mortal woman.
27. Another line is to make previous mistakes the grounds of accusation or defence. Thus, in the Medea of Carcinus the accusers allege that Medea has slain her children; 'at all events', they say, 'they are not to be seen'-Medea having made the mistake of sending her children away. In defence she argues that it is not her children, but Jason, whom she would have slain; for it would have been a mistake on her part not to do this if she had done the other. This special line of argument for enthymeme forms the whole of the Art of Rhetoric in use before Theodorus.
Another line is to draw meanings from names. Sophocles, for instance, says, O steel in heart as thou art steel in name.
This line of argument is common in praises of the gods. Thus, too, Conon called Thrasybulus rash in counsel. And Herodicus said of Thrasymachus, 'You are always bold in battle'; of Polus, 'you are always a colt'; and of the legislator Draco that his laws were those not of a human being but of a dragon, so savage were they. And, in Euripides, Hecuba says of Aphrodite, Her name and Folly's (aphrosuns) lightly begin alike, and Chaeremon writes Pentheus-a name foreshadowing grief (penthos) to come.
The Refutative Enthymeme has a greater reputation than the Demonstrative, because within a small space it works out two opposing arguments, and arguments put side by side are clearer to the audience. But of all syllogisms, whether refutative or demonstrative, those are most applauded of which we foresee the conclusions from the beginning, so long as they are not obvious at first sight-for part of the pleasure we feel is at our own intelligent anticipation; or those which we follow well enough to see the point of them as soon as the last word has been uttered.