Mathematics · the experiment
Find the missing sign
An elegant detour through the mirror, a theorem from 2013, a sign read the wrong way round. Four questions, from beginner to expert, to follow the proof to the point where it breaks.
1 · The flaw2 · The count3 · The doubt4 · The cost
1 · Locate the flaw
Beginner
At which step did OpenAI's three documents break down?
2 · Count the even crossings
An immersion has seven crossing points. You tidy it up with the 2013 theorem, read with its true sign convention.
Intermediate
How many crossings of degree 2 remain after the tidy-up?
3 · Understand the scepticism
Even before the documents were withdrawn, several researchers doubted the very general construction they proposed.
Expert
What intuition was that doubt based on?
4 · Pay the cost of flexibility
Expert
Why is the point p not just a gap that could be filled?
Sign found
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