There are lots of examples. Citing just two out of my mind.
Feierabend (German) - expresses the concept you are finished with the work duties for the day and can enjoy your private time with family and friends
Saudade (Portuguese) - a mixture of loneliness, melancholy, sense of loosing part of you feelings, even mixed with a kid of sad joy, while remembering something that is no longer there.
You did a pretty good job expressing those concepts in English in your post. Sure, there's no single word for each of those expressions, but that only means they're not that popular in everyday usage.
If they were popular enough, we'd say: English does have words for those ideas! They're "feierabend" and "saudade".
Although you might spend far more words on it, and it might be hard to properly capture abstract concepts in another language, these are not examples of concepts that cannot be expressed in English.
What definition of "to express" are you using? Because expressing does not come with a single word restriction that I know of. I think you mean whether or not there is a translation of a certain word?
We were talking about concepts being "expressable" in any language. Of course many words are not directly translatable (half of Chinese isn't, that isn't news to anybody), so that's not particularly interesting. But you'd be hard pressed to find a concept that is not at least explainable in English.
Tamil and probably many other Indian languages have various examples:
Love as in parental (anbu), as between couples (kaadhal).
"How many -eth" (ethanaiyaavathu) child are you to your parents?
Many forms of family relationships:
younger brother (thambi), elder brother (annan), etc.
Those concepts seem to be expressed just fine. The only difference is that you used multiple words instead of a single word. (I'm a native Tamil speaker.)
> Just out of curiosity, what concept is not expressible in English?
My native language doesn't force feed gendered personal pronouns on me, so when other languages (English, Swedish, German etc.) do , I feel they are forcing me to be sexist.
(The Swedes are actually trying to take some steps fixing this aspect of their language, by introducing a gender-neutral pronoun.)
Even worse (i.d. feels even more unnatural) are the languages with gendered nouns (German, Spanish etc.).
Interesting — my native language is Portuguese and it suffers from having gendered nouns. Writing in English to me is an improvement in that sense. I didn't know there are other languages which are even better in that respect. What is your native language?
Feierabend (German) - expresses the concept you are finished with the work duties for the day and can enjoy your private time with family and friends
Saudade (Portuguese) - a mixture of loneliness, melancholy, sense of loosing part of you feelings, even mixed with a kid of sad joy, while remembering something that is no longer there.