Hi! You are bullshitting us. To understand your own incorrectness, please consider what a chatbot should give as an answer to the following questions which I gave previously, on Lobsters:

• Is the continuum hypothesis true?
• Is the Goldbach conjecture true?
• Is NP contained in P?
• Which of Impagliazzo’s Five Worlds do we inhabit?

The biggest questions in mathematics do not fit nicely into the chatbot paradigm and demonstrate that LLMs lack intelligence (whatever that is). I wrote about Somebody Else’s Paper, but it applies to you too:

This attempt doesn’t quite get over the epistemological issue that something can be true or false, determined and decided, prior to human society learning about it and incorporating it into training data.

Also, on a personal note, I recommend taking a writing course and organizing your thoughts prior to writing long posts for other people. Your writing voice is not really yours, but borrowed from chatbots; I suspect that you’re about halfway down the path that I described previously, on Lobsters. This is reversible but you have to care about yourself.