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Do languages have limits? I mean, the poster explained the situation in English. How much does terseness matter I wonder?
by wilg 3y ago
Do languages have limits? I mean, the poster explained the situation in English. How much does terseness matter I wonder?
- grey-area 3y agoClearly they do have limits.
- godelski 3y ago> Do languages have limits? Yes. Language is itself compression of thoughts. Thoughts themselves are compression of something larger (observations, experiences, combinations of other thoughts, etc). It seems that there is more than one very famous mathematical proof that dictates that systems such as these cannot be complete, or even consistent.
- wilg 3y agoI meant different human languages. Is there something that cannot be expressed in one vs another in any way, even if it's long? I doubt it. Seems like there is something similar to Turing-completeness in effect.
- defrost 3y agoIt's a question sorely lacking in a definition of "limit" > It seems that there is more than one very famous mathematical proof that dictates that systems such as these cannot be complete, or even consistent. At least three approaches to similar results arising from questions posed by Hilbert - but do these results impose "a (undefined) limit"? Axiomatic systems that can never be complete or consistent can still be used to reason about objects without limit; both the countable and uncountable numbers spring to mind. Is an axiomatic system that can never be complete "limited"? Surely there's always something more to add on that asymptotic(?) approach to 'completeness'? Is it possible that being complete or consistent is a limit, bounded by completeness , unable to discuss the paradoxical? https://en.wikipedia.org/wiki/Hilbert%27s_problems https://en.wikipedia.org/wiki/Hilbert%27s_problems