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A series of experiments has shown that ant communication may be infinitely productive (that is, have infinite amount of combinations like human language does) and that it may efficiently "compress" content (e.g. instead of saying "turn left, left, left, left" say "turn left four times").
According to our theory, the universe may be infinitely old and infinitely large".
In fact, the scowl may be infinitely more mundane in its origins.
The Muppets, it turns out, may be infinitely adorable, but they have very limited vocal range.
In general, we observe that there may be infinitely many solutions to Eq. (11).
In the real world, a strategic game may be infinitely repeated to play that arises a repeated game of dynamic model.
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Nonetheless, if those utilities are infinitely many and unbounded, then the option's expected utility may be infinite.
About 30 years ago, William Rubin, then chief curator of painting and sculpture at the Museum of Modern Art, noted in referring to cumbersome new art mediums like Earthworks that "the concept of the museum may not be infinitely expandable".
Moreover, scholarship programs and financial aid application assistance may work only to the extent that there is a pool of people who can benefit from college but aren't already enrolled — so their current cost-benefit ratios may not be infinitely scalable.
For example, does the idea extend even to first-order frameworks the possible worlds of which may well be infinitely complex?
(This should not be confused with the converse claim, which is the positivistic assertion that theories with the same empirical content are really the same theory. Inductive logic doesn't require you to buy that!) In general there may be finitely or infinitely many such alternatives under consideration.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com