1) They rule by their force.
2) They rule with their force.
3) They rule by their armies.
4) They rule with their armies.
5) They rule by their will power.
6) They rule with their will power.
Which of the above sentences are correct?
Which are idiomatic?
In which cases replacing 'by' with 'with' entails a difference in meaning?
Do '5' and '6' make sense? What do they mean?
I found 'rule by force of will' here:
https://tinyurl.com/w2mkfwj
https://books.google.com/
navitasan They rule by their force. They rule by force. That is correct and idiomatic It means that the method that they use to keep the people under control, to prevent revolutions, is the army or secret police.
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navitasanThey rule bytheirforce.
They rule by force.
That is correct and idiomatic It means that the method that they use to keep the people under control, to prevent revolutions, is the army or secret police. More precisely, the threat of force keeps the people subservient.
navitasanWhich are idiomatic?
None. You "rule by singular noun", no pronoun, no article.