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The opposing argument there is that the hope is that solving these problems reveals other interesting maths knowledge along the way. Finding a counter example a
by nommynommynom 3mo ago
The opposing argument there is that the hope is that solving these problems reveals other interesting maths knowledge along the way. Finding a counter example all but ensures that won't ever happen.
- c32c33429009ed6 3mo agoNo, it opens up a whole new suite of questions. Now we can ask, for example: what conditions do we need for the result to hold? What dimensions does it hold in? And many more...
- pegasus 3mo agoI guess the question of why counterexamples are so rare and/or hard to find is still left to be investigated.