A slave with a negligent master scores highly on probabilistic negative freedom yet remains paradigmatically unfree under any republican analysis, exposing a conceptual gap that empirical adjustment cannot close.
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Republican analysis(as used in political philosophy)
A philosophical approach (associated with thinkers like Philip Pettit) that says you're only truly free when you're not subject to anyone else's arbitrary power, even if they don't actually interfere with you.
negative freedom(Political philosophy; contrasted implicitly with positive conceptions of freedom)
A conception of freedom that concentrates on the external sphere in which individuals interact, understood as a domain of sovereign action within which individuals may pursue their own projects, limited only by an obligation to respect the equivalent domains of others.