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Church's fundamental paradox: "Is there such a thing as logic?"[Church 1934] stated the fundamental paradox as follows: "in the case of any system of symbolic logic, the set of all provable theorems is [computationally] enumerable... any system of symbolic logic not hopelessly inadequate ... would contain the formal theorem that this same system ... was either insufficient [theorems are not computationally enumerable] or over-sufficient [that theorems are computationally enumerable means that the system is inconsistent]... By Hewitt at 2015-04-28 16:44 | LtU Forum | previous forum topic | next forum topic | other blogs | 4269 reads
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