The phrase "appropriate conception of the" is correct and usable in written English.
It can be used when discussing a suitable or fitting understanding or interpretation of a particular subject or concept.
Example: "In order to address the issue effectively, we must first establish an appropriate conception of the problem at hand."
Alternatives: "suitable understanding of the" or "proper interpretation of the".
A representation r is maximally consistent if and only if r is consistent and for any representation r′, either r & not-r′ is not consistent or r & r′ is not consistent (assuming the appropriate conceptions of the negation and conjunction of representations).
If similarity in this respect is required by an appropriate conception of reduction, then the prospects for reduction seem rather meager.
(Although epistemologists will disagree about what the appropriate conception of probability is, here is a crude example of how probability may figure in a fallibilistic epistemology.
A sufficientarian interpretation of the threshold notion of harm (together with an appropriate conception of wrongdoing) provides us with a plausible understanding of what is owed to future people: the fact that future persons' existence is contingent on our present decisions does not matter where what is in question is our ability to harm future people's interests and to violate their rights.
The trick then is to develop an appropriate conception of resources that can serve in an ideal of equality of condition.
Before the appropriate conception is found, the scientist must be able to call up in his mind a number of possible ones (see 1858b, 79).
Yu (2007) appropriates Aristotle's conception of the friend as a second self, a mirror, by which one can come to know oneself better, one's unexamined presuppositions, for instance.
However, selecting the appropriate conception with which to colligate the data is not conjectural (1858b, 78).
An appropriate functional definition and conception of the habitat of an animal should integrate this behavioural viewpoint on the sensory interactions between the organism and its environment.
Typically, finding the appropriate conception with which to colligate a class of phenomena requires a series of inferences, thus Whewell noted that discoverers's induction is a process involving a "train of researches" (1857/1873, I, 297).
