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Two postulates encapsulate the necessary and sufficient conditions for the existence of particular instances of freedom and unfreedom, respectively:

F Postulate: A person is free to ϕ if and only if he is able to ϕ. (Alternative formulations of this postulate are “A person is free to ϕ if and only if it is possible for him to ϕ” and “A person is free to ϕ if and only if he is unprevented from ϕ-ing.)

U Postulate: A person is unfree to ϕ if and only if both of the following conditions obtain: (1) he would be able to ϕ in the absence of the second of these conditions and (2) irrespective of whether he actually endeavors to ϕ, he is directly or indirectly prevented from ϕ-ing by some action(s) or some disposition(s) to perform some action(s) on the part of some other person(s).

In each of these formulations, the Greek letter ϕ (which stands for any germane verb or set of verbs plus any accompanying words) can denote one's performance of some action, one's existence in some condition, or one's undergoing of some process. Throughout this entry, incidentally, the terms freedom and liberty are used interchangeably.

These two postulates, which will be explicated further below, are associated with the idea of negative liberty. The principal concern of this entry is to distinguish negative liberty from certain other types of freedom. After an initial elaboration of the nature of negative liberty itself through some amplification of the F and U Postulates, this entry will draw four principal contrasts: between negative liberty and positive liberty, between negative liberty and moralized liberty, between negative liberty and republican liberty, and between physical freedom and deontic freedom.

Negative Liberty: Two Postulates

The F Postulate distills the nature of negative liberty as it exists in particular instantiations. However, the U Postulate does not comprehend all the situations in which particular instances of negative liberty are absent. That is, the two postulates are not jointly exhaustive in their coverage. Apart from being free to ϕ or being unfree to ϕ, somebody can be simply not free to ϕ. In other words, is not free and is unfree are not equivalent; the latter predicate entails the former, but not vice versa. (What are equivalent are the predicates is not free and is unable.) Likewise, the predicates is free and is not unfree are not equivalent. The former entails the latter but not vice versa.

For example, although Joe is not able to run a mile under 3 minutes and is therefore not free to run a mile under 3 minutes, it is not the case that he is unfree to run a mile in such a short span of time. His lack of freedom to run a mile so rapidly is a mere inability rather than an instance of unfreedom. It is a mere inability because it is not due to any action(s) or disposition(s) to perform some action(s) on the part of anyone else. Instead, it is a purely natural limitation.

Hence, the concept of freedom as explicated here is trivalent rather than bivalent. Instead of separating people's abilities and inabilities dichotomously into freedoms and unfreedoms, it separates them trichotomously into freedoms, unfreedoms, and mere inabilities. The mere inabilities are infinitely expansive in their scope, for most of the countless ways in which any person falls short of omnipotence are due to natural limitations rather than to the conduct of other people.

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