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"under the same logic" is a correct and usable phrase in written English
You can use this phrase when you are describing a situation or action that follows a similar thought process or reasoning as something that has been previously mentioned or established. Example: "John decided to resign from his job due to the stressful conditions, and under the same logic, Sarah also decided to leave the company." This means that Sarah's decision to leave was based on the same reasoning as John's.
Exact(6)
"Will we have the 13 states plus D.C., or will we be at 20 or more?" Opponents are fighting back under the same logic.
There is, for instance, what he calls the "Anything Goes" argument, which holds that if gay marriage is allowed, then polygamists and incestuous pairs will demand marriage under the same logic.
After a peace treaty replaces the armistice now in place between the two Koreas, the presence of American troops in South Korea and on the Japanese island of Okinawa would operate "under the same logic" that governed the continuing presence of American troops in Europe as part of NATO after the collapse of the Soviet Union, the South Korean president suggested.
And if Beck thinks that the mosque should be banned from the area because of its questionable funding, shouldn't Beck also be banned under the same logic?
When the NYPD stops a young black or Hispanic male in the city's outer reaches, he and other civil libertarians argue, the force is operating under the same logic as when it sends out "mosque crawlers" to the city's Muslim communities.
The ACNase RloC that is homologous to PrrC, although usually not linked directly to RM systems, seems to function under the same logic, i.e. as an antiviral contingency that acts when DNA restriction is alleviated under genotoxic stress [ 32, 33].
Similar(52)
Otherwise, the same logic as under certainty would apply and the CC tariff would never be chosen by a rational consumer.
The same logic applies.
The same logic holds today.
The same logic applied to biological variety.
The same logic applies to state capitalism.
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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