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      <image:caption>You don’t even need to work out the logic of this problem to see that ChatGPT is wrong here, just skip to the last line where it concludes that 38 + 2 = 50. Would you hire a PM who made critical logic errors on a regular basis? (Would ChatGPT recognize that this is a rhetorical question?) While the above is a very simple and understandable example, we should almost certainly be more worried about the potential for logical errors within more complex and less understood problems. If we’re not sure what the right answer looks like, it is exceptionally risky to trust the answer provided by a notorious hallucinator at face value, and so we must in some form or another analyze the series of logical arguments that support the answer. And so again, we’re back to somebody doing PM work to validate the logic of a complex solution. Now, can the issue of LLMs failing at logical reasoning…sorry, I’ll get the hang of it eventually - hallucinating be fixed going forward? Possibly, although most solutions to this problem acknowledge that the solution isn’t likely to lie within the LLM itself and instead propose the creation of a distinct, and as-yet-undefined, logic engine for LLMs to interface with. Perhaps a better question is, can we improve an LLM’s logical reasoning capabilities without doing any harm to other aspects of its performance?</image:caption>
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