The phrase 'invoking ideas' is correct and usable in written English.
You can use it when you want to discuss or suggest the use of ideas or concepts. For example, "We discussed various strategies for solving the problem, invoking ideas from a range of disciplines."
Now, even celebrated liberal Paul Krugman has been invoking ideas long relegated to the margins of American life.
Invoking ideas drawn from Martin Heidegger, Michel Foucault, Jacques Derrida, Jean-François Lyotard, and Richard Rorty, postmodernists saw philosophy and science merely as activities to be judged in terms of their roles in, or effects on, human societies rather than by some transcendent standard of truth or falsehood.
Quentin Skinner has called this view of freedom 'neo-Roman', invoking ideas about freedom both of the ancient Romans and of a number of Renaissance and early modern writers.
I've always read this novel as Vedanta without the religion — that is, a vision of a thoroughly secular existence in a book that contains not a single Hindu reference but that becomes coherent only if one invokes ideas like maya (illusion), atman (the essential soul) and karma (the moral record that passes on from one life to the next).
"Controlling prostitution for gain" invokes ideas of sinister crime lords, but often the charge is used against maids and other staff.
Trump invokes idea of his face on Mt. Rushmore.
I won't say it".... trump invokes idea of his face on mt rushmore, says media will lie about it, & that's why he won't bring it up (even though he just did) pic.twitter.com/xYOybqfxnv.
Even the best-selling authors who have translated the source material into popular books worry about politicians invoking these ideas in a glib way.
The case they make against Darwinism does not rest on the authority of Scripture; rather, it proceeds from premises that are scientific and philosophical, invoking esoteric ideas in molecular biology, information theory and the logic of hypothesis testing.
Then there's its title, Harvest, invoking the idea of a deserved reward for much hard labour.
Invoking the idea of "joke-work" as a process comparable to dreamwork, he also acknowledged the double-sided quality of jokes, at once consciously contrived and unconsciously revealing.
