>you can make it get there by first writing out the two different latitudes, and then it will get it right
As I said in my comment, even if the model 'knows' and tells you that town A is at 64' North latitude and town B is at 53', it will sometimes tell you town B is the furthest north.
That's because it's training set includes texts where people talk about one town being further north that the other, and their latitudes, but the neural net wasn't able to infer the significance of the numbers in the latitude values. There wasn't enough correlation in the text for it to infer their significance, or generate a model for accurately doing calculations on them.
Meanwhile the training text must have contained many explanations of what latitude and longitude are and how to do calculations on them. As a result the model can splurge out texts explaining latitude and longitude. That only helps it splurge out that kind of text though. It doesn't do anything towards actually teaching it what these concepts are, how they relate to a spherical geographic model, or to actually do the calculations.
It's the same way GPT-3 could reliably generate texts explaining mathematics and how to do arithmetic in lots of very accurate detail, because it was trained on many texts that gave such explanations, but couldn't actually do maths.
It is possible to overcome these issues with a huge amount of domain relevant training text to help the LLM build a model of the specific problem domain. So these problems can be overcome. But the point stands that just because a model can explain in detail how to do something, that doesn't mean it can actually do it itself at all. They're completely different things that require radically different training approaches.
Can you give an example that ChatGPT 4 doesn't get right? ChatGPT4 is much much better at logic than 3.5, it's almost laughable. It's really really impressive.
Here is ChatGPT 4s output btw:
> What is the longitude an latitude of Brussels?
Brussels, the capital city of Belgium, is located at approximately 50.8503° North latitude and 4.3517° East longitude.
> What about New York?
New York City, located in the United States, has approximate coordinates of 40.7128° North latitude and 74.0060° West longitude.
> Which one is more north?
Brussels is more north than New York City. Brussels is located at approximately 50.8503° North latitude, while New York City is at approximately 40.7128° North latitude.
As I said in my comment, even if the model 'knows' and tells you that town A is at 64' North latitude and town B is at 53', it will sometimes tell you town B is the furthest north.
That's because it's training set includes texts where people talk about one town being further north that the other, and their latitudes, but the neural net wasn't able to infer the significance of the numbers in the latitude values. There wasn't enough correlation in the text for it to infer their significance, or generate a model for accurately doing calculations on them.
Meanwhile the training text must have contained many explanations of what latitude and longitude are and how to do calculations on them. As a result the model can splurge out texts explaining latitude and longitude. That only helps it splurge out that kind of text though. It doesn't do anything towards actually teaching it what these concepts are, how they relate to a spherical geographic model, or to actually do the calculations.
It's the same way GPT-3 could reliably generate texts explaining mathematics and how to do arithmetic in lots of very accurate detail, because it was trained on many texts that gave such explanations, but couldn't actually do maths.
It is possible to overcome these issues with a huge amount of domain relevant training text to help the LLM build a model of the specific problem domain. So these problems can be overcome. But the point stands that just because a model can explain in detail how to do something, that doesn't mean it can actually do it itself at all. They're completely different things that require radically different training approaches.