Which excerpt from The Number Devil best shows the entertaining side of the number devil's character? "If I'd known you were going to be such a scaredy-cat, I wouldn't have entered your dream."
“With one—I am speaking of the numeral, of course—you can do almost anything.”
"I can't seem to come up with anything. You were right. It doesn't work. How did you know?"
"Guessing? Guessing is not allowed in mathematics! Mathematics is an exact science!"

Read the passage from chapter 17 of the prince. and of all princes, it is impossible for the new prince to avoid the imputation of cruelty, owing to new states being full of dangers. hence virgil, through the mouth of dido, excuses the inhumanity of her reign owing to its being new, saying: "res dura, et regni novitas me talia cogunt moliri, et late fines custode tueri."(*) nevertheless he ought to be slow to believe and to act, nor should he himself show fear, but proceed in a temperate manner with prudence and humanity, so that too much confidence may not make him incautious and too much distrust render him intolerable. . against my will, my fate a throne unsettled, and an infant state, bid me defend my realms with all my pow'rs, and guard with these severities my shores. what reasoning does machiavelli use in this passage? machiavelli uses deductive reasoning by first introducing the conclusion that new rulers must be cruel and then supporting it with evidence. machiavelli uses deductive reasoning by starting with statistical evidence and then concluding that rulers must be cruel. machiavelli uses inductive reasoning by first presenting an observed pattern of details and then concluding that new rulers must be cruel. machiavelli uses inductive reasoning by starting with the conclusion that new rulers must be cruel and then supporting it with short narratives.