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It is not the case that If a reasoner has grounds to believe the sampling procedure preferentially draws certain individuals, the proportional syllogism should not be applied
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Reasons For
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Reason for 1 of 2
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1.
Biased sampling conditions can themselves be probabilistically characterized and incorporated into revised reference classes rather than suspending inference entirely.
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2.
Reichenbach's frequency interpretation allows nested reference classes to be weighted, so bias adjusts the probability rather than invalidating the syllogism's application.
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3.
Suspending proportional reasoning under bias conflates imprecision in reference class selection with a logical defect in the inferential form itself.
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Reason for 2 of 2
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1.
Keynes and Carnap's logical probability frameworks hold that all available evidence, including bias conditions, should be conjoined into a single posterior probability rather than triggering inference suspension.
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2.
Refusing to apply probabilistic reasoning when sampling imperfections are known leads to epistemic paralysis, since no real-world sampling procedure is perfectly unbiased.
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Reasons Against
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Reason against
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1.
Knowing one is in a location where a certain type is over-represented gives reason to believe the sample is not representative
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2.
The proportional syllogism assumes no systematic bias in how individuals are selected
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