The phrase "a different conception of" is correct and usable in written English.
It can be used when discussing alternative ideas, perspectives, or interpretations of a particular subject or concept.
Example: "The artist presented a different conception of beauty that challenged traditional norms."
Alternatives: "an alternative view of" or "a distinct interpretation of".
It illustrated a different conception of what constituted achievement".
Gibbon has a different conception of psychology from us.
"The recession is bringing us a different conception of life," Ms. Griffin said.
To Arkani-Hamed, the multifariousness of the laws suggests a different conception of what physics is all about.
Both Renoir and Rossellini urged humility on the artist; they had a different conception of what the term implied.
Attachment to a different conception of the good life became by default a pitiable recoiling into crude medievalism.
Sebastián Endara conjugates the anarchist postulates with the principles and qualities of the Andean cosmovision, and gives us a different conception in front of a model of individualistic society that is leading us, this time, to chaos and social anomie.
Prokofiev considered War and Peace to be his masterpiece and while this version doesn't enhance the case for its greatness, it does offer a glimpse into a very different conception of it.
In its place, Zuckerberg proposed a very different conception of social media as a largely private communication tool: a place for people to message one-on-one or within small, closed groups.
In conjunction with statistical training and parsing techniques, this loosening of grammar leads to a rather different conception of what comprises a grammatically flawed sentence: It is not necessarily one rejected by the grammar, but one whose analysis requires some rarely used rules.
This suggests that he had a different conception than did Descartes of both the nature and ground of that principle.
