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The phrase "a notion of equality" is correct and usable in written English
It can be used when discussing concepts or ideas related to fairness, balance, or equivalence in various contexts, such as philosophy, law, or social issues. Example: "The philosopher presented a compelling argument for a notion of equality that transcends mere legal definitions."
Exact(1)
Contests that seem odd to the modern mind, such as those in which the physically impaired were matched against children, were replaced by horse races in which fleeter steeds were handicapped, a notion of equality that led eventually to age and weight classes (though not to height classes) in many modern sports.
Similar(59)
Fairness is a better mantra than equality, for it rests on a notion of formal equality — everyone should be treated alike — rather than a notion of substantive equality — everyone should have the same stuff.
But, I suspect that's because she is his sister, and not out of any notion of equality or decency or some such.
Such a notion of exact equality is not suitable for situations where the text and pattern symbols are imprecise, e.g., obtained from an analog source, distorted by additive noise, etc.
He had been deeply struck, he liked to explain, by the damage wreaked upon mathematics in France by the first world war, when "a misguided notion of equality in the face of sacrifice" led to the slaughter of the country's young scientific elite.
Actually, every normative theory implies a certain notion of equality.
This, she argues, is because countries favour an Aristotelian notion of equality whereby likes are treated as alike and unlikes unalike.
It is clearly a rather strict notion of equality between λ-terms.
Entrepreneurship may not seem obvious in a society with a generous social welfare system and one which places a high value on the notion of equality, and a single, rather than upper or lower class, but there are valuable lessons to be learned from Denmark's work culture which can be applied to any startup, anywhere.
Because the U.S. as a society values the notion of equality between the sexes, there is a tendency to look down on Japan as being behind the times for its treatment of women.
"For us, the vote is a foundation to our notion of equality," Mr. Sachs said.
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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