The Laputan phraseology depended upon science and music, their ideas were perpetually conversant in lines and figures. For instance, they praised the beauty of a woman or any other animal, by describing it in terms of rhombs, circles, parallelograms, ellipses and other geometrical terms, or by words of art drawn from music. There were all sorts of mathematical and musical instruments in the kitchen of the king which they used to cut up the joints that were served to his majesty's table. Their houses were ill built, this arose out of their distaste for practical geometry which they considered to be vulgar and mechanic. The instructions which they have were too refined for the intellects of their workmen and that occasioned perpetual mistakes in the construction of their houses. The Laputans were dexterous on a piece of paper, in the management of the rule, pencil and divider, but in common actions and behaviour of life, they were clumsy, awkward as well as unhandy, quite slow and perplexed in their conceptions upon all other subjects except those of mathematics and music. They were bad reasoners and vehemently opposed to opposition unless when they happened to be of the right opinion which was seldom the case. Imagination, fancy and invention were alien concepts to them because they did not have any such words in their language through which related ideas could be expressed. The whole compass of their thoughts and mind was shut up in the aforementioned sciences, mathematics and geometry. Most of them who dealt with the astronomical part, had great faith in judicial astrology although they were wont to accept that in public. They also had a strong disposition towards news and politics, inquiring into public affairs, giving their judgments in matters of state and passionately disputing every inch of a party opinion. The women of the island had an abundance of vivacity, they condemned their husbands and preferred being convivial with strangers. The ladies chose their gallants but they acted with too much ease and security for their husbands cared not much for anything outside of the ambit of the sciences. 

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On the fifth day of sailing in his canoe, Gulliver reaches a small island, where he spends the night in restless sleep. In the morning he notices that what he thought was a cloud floating above the island is actually a floating island. Gulliver calls up to the people he sees moving about the island. They lower down a system of pulleys that can pull Gulliver up.

As soon as Gulliver steps onto the floating island, he is surrounded by a crowd of people. He finds them very strange even though they are of a size similar to his. Their heads are slanted to the left or right, and their clothes have pictures of either musical instruments or astronomical signs.

Gulliver learns that he is on Laputa. The people here have terribly short attention spans, so they carry around "Flappers." These are used for hitting other people during conversation in order to keep them focused. After dinner a man is sent to teach Gulliver the language.
Gulliver finds that the Laputian houses are built very poorly and with no right angles. This is odd because the men here are obsessed with mathematics. The people here never have peace of mind. They are constantly worrying about dangers such as the possibility that the sun might go out. The women are very sexual creatures who often cheat on their husbands, especially with their preferred men from Balnibarbi, but the men are so wrapped up in mathematics that they do not notice. The Kingof Laputa is not remotely interested in the government of England.

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