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The phrase "auxiliary premises" is correct and usable in written English.
It can be used in discussions related to logic, argumentation, or philosophy, where additional supporting statements are needed to bolster a main argument.
Example: "In order to strengthen the validity of the conclusion, we must consider the auxiliary premises that support our main argument."
Alternatives: "supporting premises" or "additional premises".
Exact(1)
A full explanation of supervenience will require some auxiliary premises, and Shafer-Landau does not tell us what these premises are.
Similar(59)
Accepting such a conclusion, based on planetary astronomy and a few auxiliary physical premises, required a certain courage of imagination.
The impedance sensing method shown in Figure 5 is premised on the assumption that both working and auxiliary electrodes have resistance value of "zero".
On the other hand, one might argue for the multiple realizability premise in this ferret re-wiring case using an auxiliary hypothesis that only requires similarity in multiply realized higher level properties, yet still requires that differences across the realizers should not be limited only to the differences that cause differences in the realized (in this case, visual) properties.
Auxiliary lighting.
Auxiliary techniques.
auxiliary preps.
Auxiliary power systems failed.
The Auxiliary to Bellevue Hospital Center.
Auxiliary to Bellevue Hospital Board.
Ada M.Harrison Heads Auxiliary.
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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