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The phrase "a logic that explains" is correct and usable in written English.
It can be used when discussing a reasoning framework or rationale that clarifies or makes sense of a particular concept or phenomenon.
Example: "The theory presents a logic that explains the behavior of particles at the quantum level."
Alternatives: "a rationale that clarifies" or "a reasoning that elucidates".
Exact(1)
The ontology of Plato and Aristotle rather makes a logic of reality reveal itself, a logic that explains the world of reality as seen from within.
Similar(59)
If you know any logic that explains why Iran would destroy the very people it has long supported, then please let us hear it.Fear spreads so much faster than hope.
What is the underlying economic logic that explains how we can deliver value to customers at an appropriate cost?
It is this logic that explains the luxury sector's constant efforts to limit counterfeiting and copying.
His model relied on the same strategic logic that explains why two competing gas stations or fast-food restaurants locate across the street from each other — if you don't move to a central location but your opponent does, your opponent will nab those voters (customers).
That's the same logic that explains why women would dominate children's literature: Children are "women's business".
Overall, our work revealed a key piece of molecular logic that explains how cells are able to rapidly eliminate targets whose appearance in the cytoplasm can be unpredictable.
There is no logic that explains why one man in India must hang before another man.
Finally, our copy of Social Anarchism aside, we were not allowed any newspapers or other reading materials in the cell, and I'm sure there is some logic that explains why this is so, though whatever that logic is, I suspect it is dubious.
Moreover, the relative overabundance of proteins of unknown function could be explained by the same logic that explains the overrepresentation of hypothetical proteins.
What it means is that we should not expect a principled criterion for logical constancy that explains why logic has a privileged epistemological or semantic status.
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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