Mathematical Patterns That Eventually Fail

Re:Mathematical Patterns That Eventually Fail by amelius on Saturday September 22, 2018 @03:14PM (#18047515)

I wonder how often a (widely expected-to-be-true) mathematical hypothesis fails, versus how often it turns out to be actually true, versus how often it remained unknown so far.

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Re:Mathematical Patterns That Eventually Fail by enedil on Saturday September 22, 2018 @04:31PM (#18047840)

If a hypothesis is widely expected-to-be-true, then there needs to be a good evidence towards it, which in turn means that it stood unresolved for a long time. That's why probably most of them are still unsolved.

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Re:Mathematical Patterns That Eventually Fail by raverbashing on Saturday September 22, 2018 @04:47PM (#18047902)

Finding a counter example is often easier (in those cases that fail) instead of a proof.

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