The Galileo Correctness metric is a robust framework designed to measure the factual accuracy of AI-generated responses, providing a multidimensional approach that assesses syntactic correctness, semantic accuracy, and contextual relevance. It utilizes techniques such as chain-of-thought prompting and self-consistency to gauge the factual integrity of each response, generating multiple evaluation queries and providing clear yes-or-no judgments on correctness. This metric differs significantly from traditional AI accuracy metrics, focusing on the factual accuracy of the information itself rather than statistical correlations against training data. By leveraging advanced language models alongside a straightforward calculation process, Galileo's Correctness metric balances computational practicality with in-depth error analysis, enabling teams to detect and address factual weaknesses without excessive overhead. The metric is founded on a clear mathematical formulation for assessing factual accuracy, utilizing probabilistic modeling and natural language processing supported by robust knowledge retrieval systems. Its adaptability allows critical factors to be weighted according to project needs, reducing bias and optimizing AI-generated content for accuracy across various contexts.