When is a result called "deep" by mathematicians?
AIts statement is very long
BIts proof needs far deeper tools
CIt was found a long time ago
DIt involves very large numbers
Answer & Solution
Correct answer: B. Its proof needs far deeper tools
1. A deep result has a proof needing concepts and methods advanced beyond those needed to state it.
2. The prime number theorem was once thought deep until elementary proofs appeared.
3. Length, age and size of numbers are not the test.
_Source: Wikipedia, Glossary of mathematical jargon, Philosophy of mathematics_
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