| Why not "unable to express at all"? Maybe you prefer the "languages are like Turing complete" argument?
You've heard of Russell's paradox and Godel's incompleteness, I am
sure. Wouldn't a concept that escaped our capacity, be by definition
unthinkable? Someone literally can't think of an example. So maybe we should approach it a different way - is there any
possibility for the "existence" of a concept that could not be
successfully communicated at all, say between a human adult and a 5
year old child, or the the adult and an advanced alien being? If concepts exist only in the mind, that are more than literal
depictions of physical reality, surely here must be conceits
thinkable in some systems but not in others. (I am probably just
replaying Douglas Hofstadter here) The alternative is that every language is kinda "complete" and I could
spend three hours trying to explain what a Alpha-Centurion has one
word for. Edit: sorry our discussion is getting down-voted for bizarre reasons.
Is there a kind of racist/anti-pluralist thing here on HN? |
Similarly Gödel speaks of consistent proofs in logical systems. His incompleteness theorem talks about either a system has statements it cannot prove (but they can expressed!), or is inconsistent. Since natural language is probably not that consistent, the whole issue is moot.
It should be possible to show under some loose conditions that all natural languages are "Turing complete". Even the halting problem does not impose a problem -- we're really not interested in telling whether long-running computation halts in natural language. The expressivity is guaranteed by not insisting on strict consistency in language.
(PS: the situation changes where there is a mandate to only speak things that are "correct", for example, censorship. Now you get into the realm where something might be technically "correct" but the decision algorithm is imperfect and does not allow you to speak that truth)
> is there any possibility for the "existence" of a concept that could not be successfully communicated at all, say between a human adult and a 5 year old child, or the the adult and an advanced alien being?
I don't think so as long as the concept is constructed from physical objects or shared emotions/feelings.
There is a problem with something that can only be subjectively felt though. Let's say some alien can see the X-ray spectrum. How does the alien communicate to humans what the colors look and feel like?
But this is kinda off-topic.