"take to its logical conclusion" is a correct phrase and is commonly used in written English. It can be used to refer to the logical progression of an idea, argument, or process. For example, "He took his argument to its logical conclusion, convincing the board to approve the project.".
Taken to its logical conclusion, it implies that it is illegitimate for the government to collect taxes.
It is also, once taken to its logical conclusion, self-defeating.
It's arthouse cinema taken to its logical conclusion - you'd like to hang its best frames on the wall to contemplate them more closely before they whizz by.
"To argue that we should not have prosecutions because it won't bring out all the facts when taken to its logical conclusion would mean never prosecuting any official no matter the seriousness of the crimes," Ratner told me.
At Dia:Beacon the affinity of art and industry is taken to its logical conclusion.
This form of censorship, taken to its logical conclusion, clearly means the end of art.
(Taken to its logical conclusion this means everyone becoming vegan, they concede).
Ludwig does not simply clarify my doubts with English writing, it enlightens my writing with new possibilities
Simone Ivan Conte
Software Engineer at Adobe, UK