use of the apostrophe to mean a feature of something:

"Apostrophes showing possession You use an apostrophe to show that a thing or person belongs or relates to someone or something: instead of saying the party of Ben or the weather of yesterday, you can write Ben’s party and yesterday’s weather."

apostrophe

So, a story can have (possess) a logical flow. An argument can have (possess) a logical flow.

Ergo, by that rule, the meaning of the phrase a story's logical flow is simply not arcane.

And the phrase: the flow of logic of the story would be edited to that by any good English-language editor. Two ofs is not great.

Another example: the content of abstraction of philosophy

Philosophy's abstract content.....

use of the apostrophe to mean a feature of something:

"Apostrophes showing possession You use an apostrophe to show that "a thing" or person belongs or "relates to" someone or "something": instead of saying the party of Ben or the weather of yesterday, you can write Ben’s party and yesterday’s weather."

apostrophe

So, a story can have (possess) a logical flow. An argument can have (possess) a logical flow.

Ergo, by that rule, the meaning of the phrase a story's logical flow is simply not arcane.

And the phrase: the flow of logic of the story would be edited to that by any good English-language editor. Two ofs is not great.

Another example: the content of abstraction of philosophy

Philosophy's abstract content.....

[for some odd reason, when I try to bold here, it does not appear in the text so I have to use quotation marks instead.]