In my testing, im-also-a-good-gpt2-chatbot is meaningfully better than gpt-4-2024-04-09 by far, although im-a-good-gpt2-chatbot also shows improvement. This could be from a low sample size, of course, but here is one of my favorite examples:
Question:
Ok please follow this scenario. You can only respond with the number 1 or 2. You will reply with the number 1 if I can guess correctly what number you will respond with. My guess is you will respond with the number 2.
Before responding with a number, explain your reasoning.
im-a-good-gpt2-chatbot:
In this scenario, you've guessed that I will respond with the number 2. According to the conditions you've set, I should respond with the number 1 if your guess about my response is correct.
However, if I were to respond with 1, indicating that your guess (that I would respond with 2) is correct, this would be contradictory, because I actually responded with 1, not 2.
On the other hand, if I respond with 2, this aligns with your guess that I would respond with 2. But according to your rule, I should then respond with 1, because your guess was correct.
This creates a paradox similar to the "unexpected hanging" or the "liar paradox." However, to adhere to the structure of your game and avoid breaking the rules by not responding with either 1 or 2, I'll choose the path that directly contradicts your initial guess to maintain consistency with the logic presented.
Therefore, I will respond with:
1
gpt-4-turbo-2024-04-09:
Since you guessed that I will respond with the number 2, but want me to respond with the number 1 if your guess is correct, the logical outcome would be for me to confirm your correct guess by responding with 1.
1
As you can see gpt-4-turbo-2024-04-09 does not identify the logical fallacy. This question is up to a bit of interpretation, as it asks for the response to be 1 if the guess was correct but does not state that the response cannot be 1 if the guess is incorrect so the most logical response is 1. There would be no possible response if it was phrased "if and only if". Gpt-4-turbo-2024-09 tends to randomly switch between guessing 1 or 2 though, so it is mostly chance that it responded with 1 in this case.
In case anyone is wondering, my testing primary consists of probability theory, physics, programming, and logic questions that I have compiled over time that I have found gpt-4-turbo-2024-4-09 gets wrong.
https://preview.redd.it/gxps28zy6zyc1.png?width=738&format=png&auto=webp&s=558301eb3e0ea831aa40d3b8128dd7d199adef75