Definition of "inexhaustibility" [in•ex•haust•i•bil•i•ty]

• The state or condition of being inexhaustible. (noun)

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• "Whether or not the kind of inexhaustibility of mathematics discovered by Gödel is relevant to the applications of mathematics in science, there is a different kind of inexhaustibility which is much more significant for practice: no matter which axiomatic system S is taken to underlay one's work at any given stage in the development of mathematics and science, there is a potential infinity of propositions that can be demonstrated in S, and at any moment, only a finite number of them have been established."
• "One can join Freeman Dyson in rejoicing in that kind of inexhaustibility as well."
• "If the latter, economists must come to terms with the inexhaustibility of knowledge, the fact that using knowledge does not deplete it."