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OpenAI's GPT-4 consistently "beats The Turing Test" in the news. But we are very clear that the "predicting the next word" mode adopted by GPT has obvious limitations, the strengths and weaknesses of GPT-4 are qualitatively the same as before. The problem of hallucinations is not solved; reliability is not solved; planning on complex tasks is (as the authors themselves acknowledge) not solved. I think it's time to explore new Turing test methods.

One of the better ways I can think of to determine if AI have human thinking skills is by asking questions about unsolved problems in mathematics. By raising the question that there is no answer yet, in other words, by putting AI and humans in the same situation with complex & unsolved problems, to detect whether it can have original thinking and complex reasoning capabilities.

i.e.

[The Collatz Problem](https://mathworld.wolfram.com/Col

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Keybase proof

I hereby claim:

I am tvvocold on github.
I am tvvocold (https://keybase.io/tvvocold) on keybase.
I have a public key whose fingerprint is F7A3 B198 763F 3B3D 19B4 3668 8063 A697 916A E50D

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Keybase proof

I hereby claim:

I am tvvocold on github.
I am tvvocold (https://keybase.io/tvvocold) on keybase.
I have a public key whose fingerprint is 92F0 F754 9630 5414 0BE7 4108 A5D4 2E8D 25AB 22D4

To claim this, I am signing this object:

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