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Should it not be written as "Schrodinger's Cat in the Hat" - wherein a large feline in a red stripey hat may or may not come round to tea and either eat everyone out of house and home or not eat anything at all?
Whenever you find yourself on the side of the majority, it is time to pause and reflect. - Mark Twain
All My Friends Are Dead[^] is another one that may appear as a toddler's book in form, but to understand the jokes, you certainly must be an adult (or at least a youth). The book is delightful in the igNobel sense of "first make people laugh, and then make them think". A great little book!
Of course: Books both for toddlers/kids and adults are even better. Kids love Calvin & Hobbes comics, but parents see humor and serious elements that the kids have no backgroud to understand. This also goes for a lot of Scandinavian children's novels: Parents pick up a lot that goes over the head of kids. Or like the counting book by Horst Tooloskorpi: "1 2 3 Bilder från 1 till 1000" (Pictures from 1 to 1000) - you may have to go on a search in the photos to find the seventh construction worker. For "4", one of the photos show the parents, the cat and the big belly of the mommy. 100 is shown by a matrix of portraits of all sorts of faces, 1000 by that number of 1 SEK coins laid out side by side. I had never seen a good visualisation of 1000 before I got this book! Unfortunately, the book is out of print, but if you find it at a used-book shop, buy it! (unless you are American; you will be offended by a couple of the photos).
After watching, I pinched myself and felt nothing. Looking outside, I saw a horseman, and knew the apocalypse was nigh. But inside had become outside, and outside inwardly the delirium flew, knowing that psychotropic substances were not limited to physical form, but had been achieved by Japanese clerics of the highest order.