Subliminal priming studies demonstrate that subjects acquire statistically robust propositional dispositions from stimuli presented below the threshold of attentional access, undermining the necessity claim.

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Propositional dispositions(as used in epistemology (the study of knowledge)): Tendencies to believe or accept certain statements or ideas, even if you haven't consciously thought them through.
Statistically robust(as used in research methodology): Results that are strong and reliable enough that they're unlikely to have happened by random chance—the findings hold up when tested repeatedly.
Subliminal priming(as used in cognitive psychology and philosophy of mind): When stimuli (like images or words) are shown so briefly or subtly that you're not consciously aware of them, yet they still influence your thoughts or behavior.
Threshold of attentional access(as used in philosophy of consciousness): The boundary below which stimuli exist outside your conscious awareness—you're not paying attention to them, so your mind doesn't register them.

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