That's so cool. Well clocks counting down are sometimes more useful than clocks counting up. In fact where did I read that NASA's countdowns were til ten but then to build up suspense for television, they counted ten down to zero.
And in fact that was better, with computers that's often better. So literature and cinema, the concept of suspense, actually improved science AND made good television at the same time.
For boxing they should count down from ten to zero, in fact.
The author of the non-fiction 'Humble Pi' wanted to incorporate some clever page numbering (such as backwards, binary, overflow errors), but was advised against it by the publisher who thought it might cause readers to think there is a publishing error. Eventually they compromised by having a warning page (which IMO kills the joke).
A professor of mine insisted that presentations have not only page numbers, but also the total number of pages (like this: 4/17), so that he knew how much longer he'd have to listen to this... :-)
Yes, exactly. Who cares that page numbers might canonically be for one paper size and not correspond to page sizes on some device? You can scroll or whatever and still use the canonical page numbers.
Not so. Page breaks can still be rendered or marked anyways, and so can page numbers. And yeah, you're not going to see a whole "page" in one screenful, but so what?
Page numbers are slightly annoying in the modern age of PDFs: there's the visual / physical / internal document (?) page number of what the document would have if printed out, and then there's the page number of the file.
A well-prepared PDF can include metadata about each page, so that reader software will be able to display the "logical" page number in addition to the actual numerical index. E.g. a page in the prologue of a book might show up as "xvii (19 of 150)".
This is important because if you want to print a subset of pages, you have to specific the actual numerical page numbers in the print dialog, which may not be the same as the page number on the page.
For more reading about page numbers, the earlier chapters of _Index, A History of the_ explain the transition from scrolls to codices and how the latter form enabled a specific topical index.
> The chapters and pages are numbered backwards in the book, beginning with Chapter 47 on page 289 and ending with page 1 of Chapter 1.
This omnipresent clock ended up being a clever, subtle way to continually build tension for the reader.