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The phrase 'explain the possibility' is correct and usable in written English.
It is used to refer to providing a logical explanation as to why something is possible. For example: "The professor asked the student to explain the possibility of time travel."
Exact(29)
In the 20th century, Noam Chomsky argued the necessity for postulating innate ideas to explain the possibility of language.
For Kant the puzzle was to explain the possibility of a priori judgments that were also synthetic (i.e., not merely explicative of concepts), and the solution that he proposed was the doctrine that space, time, and the categories (e.g., causality), about which we were able to make such judgments, were forms imposed by the mind on the stuff of experience.
So philosophy seeks to explain the possibility of experience by identifying and articulating the a priori laws "present" in it.
How can the deflationary nominalist explain the possibility of mathematical knowledge, given the abstract nature of mathematical objects?
Intellect is the locus of the full array of Platonic Forms, those eternal and immutable entities that account for or explain the possibility of intelligible predication.
The first proposal about how to explain the possibility of false belief is the proposal that false belief occurs when someone misidentifies one thing as another.
Similar(30)
The concept, design, construction and calibration of the dummies during the INTERREG SkiProTech project are presented to explain the possibilities of applications of such devices in research.
A tool dedicated to chemical engineering problems, is created on this model and a simple example is treated to explain the possibilities of this tool.
The risk tool in IMPALA also consisted of a bar chart to explain the possibilities for risk reduction also by relative risk reduction, but process evaluation showed that this was hardly used by the nurses in the IMPALA study.
The next section describes the NHIS and explains the possibility of inducement in the scheme.
So, in a sense, van Benthem's result explains the possibility of Discourse Representation Theory.
More suggestions(17)
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Since I tried Ludwig back in 2017, I have been constantly using it in both editing and translation. Ever since, I suggest it to my translators at ProSciEditing.

Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com