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It is not the case that Fine-tuning arguments presuppose a probability distribution over possible constants, but without a physical ensemble, this distribution is undefined.
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Reasons For
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Reason for
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1.
Bayesian probability is subjective and doesn't require a physical ensemble—only coherent degrees of belief about possibilities, physical or not.
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2.
Fine-tuning arguments can proceed using mathematical possibility spaces independent of physical instantiation, like probability in pure mathematics.
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3.
The critique conflates epistemological access with metaphysical meaningfulness; an unobserved ensemble can still ground objective facts about possibility.
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Reasons Against
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Reason against
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1.
Probability requires a well-defined sample space; without a physical ensemble of universes, the space of possible constants lacks empirical grounding.
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2.
Fine-tuning arguments assign equal probability to vastly different constant ranges without justification, smuggling in an arbitrary uniform distribution.
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3.
We cannot measure frequencies needed for probability without observing multiple instances; a single universe provides no data for frequentist inference.
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