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Ten Islands

Question

In a dream I visited a city named Ten Islands, a charming archipelago connected by a system of bridges, five of which led to the mainland. Four of the islands were serviced by four bridges, three others by three bridges and two others by two bridges. The final island could be reached by only one bridge. The city was well laid out, and the view from each of the bridges provided a new and enchanting visual experience.

I shared the dream later with my son, remarking again and again of the city's beauty.

Even if you hadn't mentioned the fact to me, Dad, I would have told you this was not a real experience, he replied. Ten Islands, as you described it, could not exist in this world, only in a dream.

How could he be certain of that?

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Parity. The count of bridges would have double-counted all bridges, giving an even total. But the total number of bridges described is odd.

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