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"logical inconsistency" is a correct and usable phrase in written English.
You can use it to describe a situation in which multiple statements or ideas contradict each other and cannot be logically reconciled. For example, you might say, "The politician's statements about the issue contained a logical inconsistency, leading many to doubt the sincerity of their position."
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For instance, I find Han's attempt to convert his son, under the circumstances in which it occurred, to be inconsistent with Han's character at the level of a logical inconsistency with the character's prior behavior.
A: One is the so-called logical inconsistency thesis.
Well, you can, but I will call you out for logical inconsistency.
In this age of streaming, however, possessing a personal content collection is a logical inconsistency.
Logical inconsistency is not a sufficient reason to change the law.
If you want to try making sense of the gobbledygook, let's start with the biggest logical inconsistency.
Similar(6)
They're also checked for logical inconsistencies.
Did Giuliani allow anyone around him to challenge the logical inconsistencies in his argument?
As a result, most cons are filled with logical inconsistencies, even absurdities, which seem humiliatingly obvious after the fact.
If someone attempts to point out logical inconsistencies, they are almost always faced with personal mockery by the other commentators.
Consistency rules were defined and used to check logical inconsistencies, but also syntactical invalidities and style issues.
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Since I tried Ludwig back in 2017, I have been constantly using it in both editing and translation. Ever since, I suggest it to my translators at ProSciEditing.

Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com