AI LLM TRUE OR FALSE

Paul C Langley, Ph.D. Adjunct Professor, College of Pharmacy, University of Minnesota,
Minneapolis, MN

It is apparent from responses to the LLM interrogation that contemporary health technology assessment exhibits not merely an absence of awareness of representational measurement theory, but a deeper failure to understand the elementary relationship between mathematics and measurement. Across agencies, journals, and international organizations, statements that express foundational axioms of measurement are weakly endorsed or rejected outright, while statements that describe mathematical impossibilities are routinely accepted. This pattern cannot be explained as methodological disagreement. It reflects a systematic loss of scale literacy.

To address this failure, each of the twenty-four statements used in the interrogation is presented below with a clear determination of whether it is TRUE or FALSE, followed by an explanation grounded in the axioms of representational measurement theory and the rules governing permissible arithmetic. The purpose is not polemic, but clarification. These explanations make explicit the constraints that must be satisfied before numbers can be treated as measures and before arithmetic can be meaningfully applied.

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