The phrase "achieve universality" is correct and usable in written English.
It can be used in contexts discussing the goal of making something applicable or relevant to all people or situations.
Example: "The new policy aims to achieve universality in access to education for all children, regardless of their background."
Alternatives: "attain universality" or "reach universal applicability".
"His major achievement was to plait the many threads of American music into a central style of universal appeal.... To achieve universality, he had to dilute individuality".
It was Lorraine Hansberry who taught me that it is only through cultural specificity that one can achieve universality.
The degree of uncertainty required to effect the transition from an exponential to a Rayleigh distribution and to achieve universality of the statistical properties is investigated.
Government of India is willing to achieve universality of education but the limiting factor is the financial resources at the disposal of the government.
It is said that the greatest works of art achieve universality through a paradoxical specificity -- that Hamlet becomes more Everyman the more he is made the Prince of Denmark.
According to Irigaray, patriarchal thinking attempts to achieve universality by repressing sexual difference.
Some stories are of such force in the imagination that they cut through religion, race and class, achieving universality.
It is more a matter of a willingness to push past the clichés of representation into a zone of discomfort so specific that it achieves universality.
Obama has not created a mechanism for achieving universality, hoping instead that subsidies and the new insurance markets will bring people along.
The most prolific scholar of this persuasion was Sir James G. Frazer, who argued in his massive work The Golden Bough (1890 1915) that "the magic art" had arisen as a pseudo-science, probably had achieved universality before the emergence of religion, and was a more firmly rooted belief system than religion.
This was an important improvement in terms of access to care, as the Health Ministry's primary care program had not achieved universality.
