Definition of "finitary" [finitary]

• Of a function, taking a finite number of arguments to produce an output. (adjective)

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• "Fully spelled out it means that for an entity to be a proposition there must exist a dialogue game associated with this entity, i.e., the proposition A, such that an individual play of the game where A occupies the initial position, i.e., a dialogue D (A) about A, reaches a final position with either win or loss after a finite number of moves according to definite rules: the dialogue game is defined as a finitary open two-person zero-sum game."
• "This result is still not fully "finitary" because it deals with a sequence of finite structures, rather than with a single finite structure."
• "So when intuitionists deny that the Law of Excluded Middle holds in non-finitary contexts, they are actually taking truth as provability; and when paraconsistentists claim that some formula can be true (in some weird circumstances) together with its negation, they are not talking of negation anymore (see e.g. Berto 2006)."