https://chatgpt.com/share/6709473b-b22c-8012-a30d-42c8482cc6...
is_trick(question) # 50% accurate
is_trick(question, label) # 100% accurate
...
If ChatGPT had "sense" your extra prompt should do nothing. The fact that adding the prompt changes the output should be a clue that nobody should ever trust an LLM anywhere correctness matters.
[edit]
I also tried the original question but followed-up with "is it possible that the doctor is the boy's father?"
ChatGPT said:
Yes, it's possible for the doctor to be the boy's father if there's a scenario where the boy has two fathers, such as being raised by a same-sex couple or having a biological father and a stepfather. The riddle primarily highlights the assumption about gender roles, but there are certainly other family dynamics that could make the statement true.
If it's all it takes, then maybe the problem isn't a lack of capabilities but a tendency to not surface them.
And I doubt there are any such hidden capabilities because if there were it would be valuable to OpenAI to surface them (e.g. by adding "think carefully" to the default/system prompt). Since adding "think carefully" changes the output significantly, it's safe to assume this is not part of the default prompt. Perhaps because adding it is not helpful to average queries.
1. Fast thinking vs. slow thinking.
2. Intuitive thinking vs. symbolic thinking.
3. Interpolated thinking (in terms of pattern matching or curve fitting) vs. generalization.
4. Level 1 thinking vs. level 2 thinking. (In terms of OpenAIs definitions of levels of intelligence)
The definitions describe all the same thing.
Currently all of the LLMs are trained to use the "lazy" thinking approach. o1-preview is advertised as being the exception. It is trained or fine tuned with a countless number of reasoning patterns.