'on this conception' is correct and usable in written English.
You can use it to refer to a previously stated concept or idea. For example, "This argument relies heavily on this conception of morality."
There are many variations on this conception, depending on how exactly one wants to define 'interference', but they all have in common the basic intuition that to be free is, more or less, to be left alone to do whatever one chooses.
For example, on this conception, the genus 'animal' would not be some one entity, a universal animality over and above the individual animals, yet somehow sharing its being with them all (since, as we have just seen, that is impossible), but rather [the collection of] the individual animalities of all animals.
On this conception, if there is a conflict between prima facie duties, the one that is strongest in the circumstances should be taken to win.
The modern right's understanding of human nature (and thus the broader political doctrine founded on this conception) first emerged with the birth of liberalism which was itself bound up with the emergence of capitalism.
Why does CP fail on this conception of conditionals?
On this conception, there is some sense in which Bucephalus is himself predicable of matter.
On one prominent variant of this conception, consciousness is taken to be a kind of scanning or perceiving of one's own psychological states or processes — an 'inner sense' (Armstrong 1968, Carruthers 2000, 2002, Lycan 1995).
But there are richer principles that are (arguably) intrinsically justified on the basis of this conception, namely, the set-theoretic reflection principles.
Gimmicky-sounding on paper, this conception was shattering in effect.
This conception is, on the one hand, too weak, since it treats the fact that I have settled on doing A as just one consideration among many in favour of doing it, whereas means-end coherence is a strict or peremptory demand.
This different conception of cause would allow for genuine secondary causality in that creaturely causes would be real causes on this alternative conception, despite the fact that they do not causally necessitate their effects.
