.TRUE OR FALSE:
99.999 is the largest positive integer.
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The fact that there is no largest positive integer can be proven quite nicely with one of the most important techniques used to disprove mathematical statements.
Let’s say we want to disprove statement S . To show that S can not be true, we assume S is true and derive a contradiction.
To apply this to your question, we assume there is a largest positive integer: L . Now we can construct the number L+1 , which is both an integer and larger than L . This contradicts our assumption, hence it can not be true.
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