The phrase 'controversial assumptions' is correct and usable in written English.
You can use 'controversial assumptions' when you want to refer to ideas or beliefs that are questioned or not accepted by everyone. For example, you could say: "The author's arguments are based on some highly controversial assumptions about human behavior."
Both proceed from controversial assumptions.
Yonelinas, A. P., Aly, M., Wang, W.-C. & Koen, J. D. Recollection and familiarity: examining controversial assumptions and new directions.
It must consist in more mundane and less controversial assumptions about what married life is normally (though not always) like.
Reading Krystal's subtle and savvy piece, it struck me that our talk of guilty pleasures involves two controversial assumptions: that some books (and perhaps some genres) are objectively inferior to others and that "better" books are generally not very enjoyable.
Embedded in these methods are morally controversial assumptions.
However, we have also seen that they reached such conclusions by starting from radical and controversial assumptions.
In addition to relying on a controversial assumption that without regulation firms are passing up profitable opportunities for innovation, Porter's evidence for a regulatory "win-win" consisted primarily of case examples and did not systematically estimate employment effects.
Both "Colossus" and Ferguson's previous book "Empire" proceed from a controversial assumption for which he makes no apologies: it is that empires have as often been a force for progress as a source of oppression.
The blatantly phallocentric bias of this account, which was supplemented by a highly controversial assumption of penis envy in the already castrated female child, proved troublesome for subsequent psychoanalytic theory.
Should we blame the controversial assumption about metaphysical possibility?
But the difficulty then is that any such assumption is likely to be a deeply controversial assumption that many theists would certainly reject.
