If the 'ordered monotonicity' property were *not* satisfied, what specific problems might arise during the refinement of an abstract solution, and how would this undermine the overall benefits of using abstraction in problem solving as described?

From the book

Sight of Batchelors of good Estates, who come to us under Pretence of lawful Courtship, to prosecute an unlawful Amour? They come to us like Butterflies to Flowers, to spit Maggots on us, and then leave us to be devoured by Infamy and Scandal: There is no Punishment bad enough for these Monsters of Men; I would fain have my Will upon them one Way or other; either by Marrying them all out of hand, or by Punishing them for Living single. _Politica._ I do indeed think a Levelling of Marriages is the most reasonable Thing in the World; Mankind is on a Level in all Things but this; one Man…

s are best executed, that bring Money into the _Exchequer_; every one would be a Fisherman, if the Fishes came like St. _Peter_'s, with Money in their Mouths: I dare engage, I will sooner get a Warrant to search for prohibited uncustomed Goods, or to seize Brewer's Copper for Non-payment of Excise, than I can prepare a Warrant to search a Bawdy-house: Do but once make it appear, that Godliness is Gain, and I will warrant you a thorough Reformation of Manners. Now my Act does this Thing to a T; I make Men honest and virtuous, and, by doing so, I make the Government rich, and ease the…

n Taxes is inconsiderable to the Supplies given by others in Children, which are an Addition to the native Strength of the Kingdom: Money is like the soft and easy Showers, which only cool and moisten the Surface of the Earth; Children are like the soaking Rain which goes to the Root, and makes Trees and Vegetables fructify for the Use of Man: Indeed, my Dear, a Batchelor can, in no Sense, be esteemed a good _Englishman_.

hat Nature seems to have designed a Level, only we raise Mountains and Hills on Purpose to deface the Works of Nature. But, Sister, here's one Thing yet to be considered, that there are several young Gentlemen born to good Fortunes, who would marry me or you; but they are kept from it by the Advice of their Parents. Now, though I would have such punished as are unmarried with good Estates in their own Possession, yet would I have some Respect to those who would and cannot: There is Mr. ----, he often gives me Visits, he loves my Company, his Eyes talk of Love, which is more than his…

the old Man, dying some Years after, left them the Remainder of his Estate, which made an Addition to their Happiness. _Politica._ Truly, Madam, the young Gentleman was enough ingenious; had he been cross, and not pleased his Uncle's Humours, he would have been disinherited, though I must confess, it is hard to render ourselves ridiculous to a Degree of Folly, to please an old Humourist. But what is not sinful can never be shameful, and how unpleasant soever our Actions are in the Sight of Men, if they are otherwise in the Sight of God, it is no Matter: A good Estate and Virtue make a…