Large language models cannot always perform analogical reasoning effectively, and the accuracy of self-generated examples is the key factor determining their performance on mathematical reasoning tasks, rather than the relevance of the examples.
Large language models like GPT-3 and GPT-4 exhibit an emergent capacity for analogical reasoning, which is demonstrated through their ability to solve a wide range of text-based analogy problems, including novel and counterfactual tasks.
The methods used in the original paper are insufficient to conclusively demonstrate the general, zero-shot reasoning capacity of large language models like GPT-3. Comparisons to human performance do not provide adequate evidence, and counterexamples show the brittleness of the assessment approach.