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arbitrarily large '." could be rewritten as:

:

However, using "sufficiently large", the same phrase becomes:

:

Furthermore, "arbitrarily large" also does not mean "infinitely large". For example, although prime numbers can be arbitrarily large, an infinitely large prime number does not exist--since all prime numbers (as well as all other integers) are finite.

In some cases, phrases such as "the proposition is true for

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