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Open Choice Singular Limits.
Q: What's worse than biting into an apple and finding a worm?
A: Finding half a worm.
Michael Berry, in a wonderful, if serious physics,
(self-archived) article in Physics Today (
http://www.phy.bris.ac.uk/people/berry_mv/the_papers/Berry341.pdf
) carries the old joke a little further:
Discovering one-third of a maggot would be more distressing
still: The less you find, the more you might have eaten.
Extrapolating to the limit, an encounter with no maggot at all
should be the ultimate bad-apple experience. This remorseless
logic fails, however, because the limit is singular.
If open choice publishers provides a subscriber discount for
issues that contain open access articles, then, of course, the
more such articles published the greater the discount until, in
the limit of all open access, subscribers will be paying a very
low price, indeed. Of course, now everybody besides the
subscriber will also have access but that really doesn't change
the savings to the subscribers.
In the apple case, as Berry explains: A very small maggot
fraction (f << 1) is qualitatively different from no maggot
(f=0).
So there are singular limits in journal publishing too. Or are
there? RF
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Richard D. Feinman, Professor of Biochemistry
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