"intelligible way" is a correct and usable phrase in written English.
It is typically used to describe something that is easy to understand or comprehend. Example: The scientist explained complex theories in an intelligible way, making it easier for students to grasp the concepts.
All science proceeds on the assumption that nature is ordered in a rational and intelligible way.
They all work in the same way, recording data about you and then presenting the results in an intelligible way.
Roughly speaking, if we can do anything in a clear and intelligible way, we can do it by machine.
Scientists do not believe that "nature is ordered in a rational and intelligible way," waiting for discovery.
They use antivirus software to weed out malware and firewalls to keep the bad guys out, but none of these systems communicate with each other in an intelligible way.
Since it is concerned with the holy and the purpose of human life as a whole, most scholars would hold that religious experience should be related in an intelligible way to all other experience and forms of experience.
Finding effective, acceptable and intelligible ways to tell such multifaceted stories — whether you're a creative, a reporter, or a politician — is the big challenge of an increasingly fragmented, on-demand, multi-screen age.
So too, it seems, the light involved in scientific knowledge is a light that a source apart from the mind, namely God (or possibly an intelligence), sheds on objects of scientific knowledge so as to render them actually intelligible, in the way the light the sun sheds on bodies makes them actually visible.
In addition to providing a vividly comprehensible time line, "After 9/11" makes intelligible — in a way that even an overtaxed Presidential candidate can grasp — the tribal and religious-factional complexities within Iraq and Afghanistan.
This is where Leibowitz admits the limits of rationalism when it is understood as the metaphysical thesis that the world is intelligible "all the way down".
And even when we accept the description of the case, we find such action somehow puzzling, defective, or dubiously intelligible, in a way that action contrary to one's judgments of financial wisdom (for example) is not.
