So if you believe that AI does "think" you are expected to show me that it really does.

A lot of people seemingly haven't updated their priors after some of the more interesting results published lately, such as the performance of Google's and OpenAI's models at the 2025 Math Olympiad. Would you say that includes yourself?

If so, what do the models still have to do in order to establish that they are capable of all major forms of reasoning, and under what conditions will you accept such proof?

It definietly includes myself, I don't have the interest to stay updated here.

For that matter I have no opinion on if AI does think or not, I simply don't care. Therefore I also really can't answer your question in what more a model has to do to establish that they are thinking (does being able to use all major forms of reasoning constitute the capability of thought to you?). I can say however, that any such proof would have to be on a case-by-case basis given my current understanding on AI is designed.