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A common online debating tactic where someone dismisses a valid connection between two things by arbitrarily declaring them unrelated, often without evidence or reasoning. For example, when you point out that [billionaires] exist alongside homelessness, and someone responds that "those things have [nothing to do] with each other"—as if wealth accumulation and poverty exist in separate universes. The arbitrary non-correlation fallacy is the [rhetorical] equivalent of covering your ears and saying "la la la not connected." It's especially popular in discussions about systemic issues, where acknowledging connections would require acknowledging problems, which is inconvenient when you're trying to defend the status quo.
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