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by symic
1106 days ago
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A computer can’t display more digits than the number of particles in the observable universe. This is a finite number. As such it is correct to say that computers struggle if the number of digits is too large. While for practical uses modern computers don’t struggle with finite integers one normally encounters they do struggle with precision in certain circumstances. For 3rd graders I think it’s OK to introduce them to the concept that computers, like all devices, have limitations. |
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There are two sources of error here:
1. Your interpretation is essentially "computers struggle to complete tasks that are impossible for them to complete" - a meaningless tautology. At best it is "nothing scales infinitely" which perhaps is a bit more useful as a refutation for complaints that something "doesn't scale" in an unlimited fashion, but that doesn't seem to be the context here.
2. "Too large" is ambiguous. If it's "too large for computers to handle" then it devolves into the above meaningless tautology. However, a sensible and common interpretation would be to interpret "if <something> is too large" as "if <something> is very large" - but we know that computers can in fact handle numbers with huge digit counts (somewhere between 1 and 60+ million.)
So the original statement is either a largely meaningless tautology or something that is misleading and/or incorrect. PP's criticism is valid.