Because NFL theorems are conditional on a specific probability measure over problem spaces, they yield a weaker, measure-dependent impossibility rather than Hume's unconditional logical gap between experience and necessity.
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A proposition that can be demonstrated to generate a contradiction in its analysis.
measure-dependent(as used in mathematics and logic)
Something that changes or depends on which specific probability system or framework you choose to use.
problem spaces(as used in computer science and artificial intelligence)
All the possible questions or challenges a system (like an AI or human) might face, along with all their possible solutions.
unconditional logical gap(as used in epistemology (the study of knowledge))
A fundamental, unavoidable disconnect between what we experience (like seeing the sun rise) and what we can logically prove must be true (that it will always rise).