The phrase "a more general conception" is correct and usable in written English.
It can be used when discussing broader or more inclusive ideas or understandings of a particular topic.
Example: "In order to address the issue effectively, we need to adopt a more general conception of community engagement."
Alternatives: "a broader understanding" or "a wider perspective".
Instead it is assumed that a more general conception of "virtuous action" is at play.
To prepare physicists for this eventuality, Riemann proposed a more general conception of geometry.
Under the analysis of von Neumann, Brillouin and Gabor, a more general conception developed of information processing having a fundamental entropic cost.
We then move to a more general conception of sequents as originally conceived, allowing a set of formulas to play the conclusion role rather than just a single formula, as well as to the associated idea of generalized consequence relations, emphasizing Carnap's motivation for making this generalization.
The task of developing this more general conception of the efficient cause falls to the metaphysician, whose investigations transcend the concerns of any of the particular sciences, e.g., natural philosophy.
The other is in a more general normative conception of society.
Only Haeckel had drawn out a more general reductive conception of humanity from evolutionary theory and he had not ventured into the specific issues of ethics, social organization, the origins of human races, and the relation of human mental properties to those of animals, all of which are dealt with in the Descent.
A key focus is the relationship between these data, linguistic theories, and more general conceptions of the mind.
The pre-Socratics thus revealed difficulties in specific assumptions about the infinitely many and the infinitely small and about the relation of geometry to physical reality, as well as in more general conceptions like "existence" and "proof".
Readers who are interested in more general conceptions of political authority may consult the entry for political authority for a discussion of the issues.
In the latter case it signifies social policies and in the former case a more general and elusive normative conception of society as both a goal and as an assumption.
