Hello again Hela
1) The example which was given under "human activity" (it would be better to find another explanation or heading perhaps) is "science's influence" and "my life's aim". But what is "a duty's call"?
— no article: just "duty's call", i.e. "the call of duty" ("l'appel du devoir"?).
2) I didn't really understand the following point, what do you mean by "objects exerting INDEPENDENT INFLUENCE?"
| The car's door is open. Cars, ships, planes, trains seem to have some rights to the genitive. I suppose it's because they appear to exert independent influence. |
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— A cup or a table exerts no influence. But a car or a train or a computer has an effect on its surroundings: it "does" something. Or an object may have a strong magnetic field, for instance. It seems to me that such objects are somewhere between the animate and the inanimate; they seem more likely to be used in the genitive. (We call ships "she", for instance; people give names to their cars; your pc gives you advice when you're typing, etc.)
3) In which context might your sentence "I walked through the valley of the shadow of death" appear, please? Could you give me an example?
— This is a quote from the 23rd Psalm: "Yea, though I walk through the v. of the s. of d., I will fear no evil". So it would appear mostly as an allusion.
4)...
— It doesn't seem quite idiomatic, as it stands. Maybe: "Bill Gates' great achievement has been to make a success of personal computing".
MrP