The first is that LLMs used to be bad at each of these nerd things, then toppled them like dominos. There's a pattern over time.
Another reason to think this is g. Across every known measurement, human (and animal) intelligence is convergent. Being better at one thing correlates with being better at another thing. Although the reason is not perfectly clear, the pattern is well established, and seems to apply to LLMs too - GPT-6 is smarter than GPT-3 at everything, not just math. There's no reason to expect different for GPT-9.
There are lots of good reasons to think this.
The first is that LLMs used to be bad at each of these nerd things, then toppled them like dominos. There's a pattern over time.
Another reason to think this is g. Across every known measurement, human (and animal) intelligence is convergent. Being better at one thing correlates with being better at another thing. Although the reason is not perfectly clear, the pattern is well established, and seems to apply to LLMs too - GPT-6 is smarter than GPT-3 at everything, not just math. There's no reason to expect different for GPT-9.