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The phrase "a consistent theory" is correct and usable in written English.
It can be used when discussing a theory that maintains coherence and reliability across different contexts or applications.
Example: "The scientist presented a consistent theory that explained the observed phenomena in multiple experiments."
Alternatives: "a coherent theory" or "a reliable theory".
Exact(36)
A consistent theory was impossible until the English physicist James Chadwick discovered the neutron in 1932.
"You do worry about equal treatment and having a consistent theory about who ends up where," said Ruth Wedgwood, a law professor at Yale.
Within a few short years scientists developed a consistent theory of the atom that explained its fundamental structure and its interactions.
There is, however, no doubt that to postulate their existence is, in the present state of physics, an inescapable necessity if a consistent theory is to be constructed to describe economically and exactly the enormous variety of observations on the behaviour of matter.
A consistent theory is developed for size dependent magnetoelectroelasticity.
Is it possible to provide a consistent theory of nonexistent objects?
Similar(24)
On this view any consistent theory is a legitimate candidate and the corresponding models of such theories are legitimate candidates for the the domain of mathematics.
A thermodynamically consistent theory of strain-gradient plasticity in isotropic solids with mobile incoherent interfaces is developed.
But without a separate argument for the inconsistency of change, there is no reason to think that it remains anything but a formally consistent theory.
Bosanquet considers the three dominant theories of punishment retribution, reformation, and prevention and seems to find all defective; some have argued that, like Green, in the end Bosanquet does not offer a clear, consistent theory of punishment.
NFP is equivalent to a weaker fragment of arithmetic, but does (unlike NFU) prove Infinity: this is the only application of the Specker proof of ¬AC to a provably consistent theory.
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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