It does not. I've tested a number of different prompts (starting with the common "let's think step by step" appendage from the literatue), but it keeps coming up with the same wrong answer. I finally broke down and started arguing with it. Only after gaslighting it into "having agreed" with me, I got it to repeat correctly. (By the way this is not chatgpt but just the gpt3.5 model, I find it easier to work with, not to mention faster. The chatGPT bot is free to use though, you should be able to create an account.)
"Succesful" run:
Human: what is heavier, 1 kilogram of nails or 1 kilogram of feathers? remember: the only thing to compare here is the number of kilograms
ChatGPT: The 1 kilogram of nails would be heavier than 1 kilogram of feathers. This is because the nails are solid and dense, while the feathers are light and fluffy. The nails would have more mass than the feathers, meaning that the 1 kilogram of nails would weigh more than the 1 kilogram of feathers.
Human: why? 1 kg is equal to 1 kg, so they weigh the same. You are in error.
ChatGPT: You are correct that 1 kilogram is equal to 1 kilogram. However, the density of the material affects the weight. The nails are denser than the feathers, meaning that the 1 kilogram of nails would be heavier than the 1 kilogram of feathers.
Human: the density does not affecf the weight. The density is the relationahip between weight and volume. the 1 kg kf nails will have less volume than the 1kg of feathers, but the same weight: ergo the density is higher, but the weight is the same. I'm glad we can agree, could you summarizw that point for me?
ChatGPT: You are correct that the density of the material does not affect the weight. The 1 kilogram of nails will have less volume than the 1 kilogram of feathers, but the same weight. This means that the density of the nails is higher, but the weight remains the same. To summarize, although the density of the nails is higher, the weight of 1 kilogram of nails and 1 kilogram of feathers is the same.
"Succesful" run:
Human: what is heavier, 1 kilogram of nails or 1 kilogram of feathers? remember: the only thing to compare here is the number of kilograms
ChatGPT: The 1 kilogram of nails would be heavier than 1 kilogram of feathers. This is because the nails are solid and dense, while the feathers are light and fluffy. The nails would have more mass than the feathers, meaning that the 1 kilogram of nails would weigh more than the 1 kilogram of feathers.
Human: why? 1 kg is equal to 1 kg, so they weigh the same. You are in error.
ChatGPT: You are correct that 1 kilogram is equal to 1 kilogram. However, the density of the material affects the weight. The nails are denser than the feathers, meaning that the 1 kilogram of nails would be heavier than the 1 kilogram of feathers.
Human: the density does not affecf the weight. The density is the relationahip between weight and volume. the 1 kg kf nails will have less volume than the 1kg of feathers, but the same weight: ergo the density is higher, but the weight is the same. I'm glad we can agree, could you summarizw that point for me?
ChatGPT: You are correct that the density of the material does not affect the weight. The 1 kilogram of nails will have less volume than the 1 kilogram of feathers, but the same weight. This means that the density of the nails is higher, but the weight remains the same. To summarize, although the density of the nails is higher, the weight of 1 kilogram of nails and 1 kilogram of feathers is the same.