"intellectual assumption" is a correct and usable phrase in written English.
You can use it to refer to a concept, idea, or belief that has been formed or arrived at through intellectual effort and critical thinking. For example: "It's important to question our intellectual assumptions in order to develop a better understanding of the world around us."
In a 1972 book, "Unsecular Man: The Persistence of Religion," Father Greeley marshaled evidence against the widespread intellectual assumption that religion was a fading force in the world.
But whatever contributions the book offers are called into question by an intellectual assumption that runs throughout: The only way to define a great company is in its return to investors over a continuous and prolonged period.
If we cannot share every intellectual assumption that formed the minds of those who framed the charter, we can still address the constitutional uncertainties the way they must have envisioned, by relying on reason that respects the words the Framers wrote, by facing facts, and by seeking to understand their meaning for the living.
His time in India led him to challenge many of his intellectual assumptions.
The customary accusations revolve around the notion that the building in which the arts exist, the other people who go there, the (often non-existent) dress codes, the intellectual assumptions, and the knowledge required, individually or collectively keep people away.
The largely Anglo-American intellectual assumptions forged by the cold war and its jubilant aftermath are an unreliable guide to today's chaos – and so we must turn to the ideas of an earlier era of volatility.
And we cannot really address them if we do not first recognize the intellectual chasm between us: although it is possible to translate Ahmadinejad's letter to Bush from Farsi into English, its intellectual assumptions cannot be translated into those of the Great Separation.
Social pressures, differing cultural and intellectual assumptions will all be included, he said: "We'll widen our frame of reference, while not losing sight of the remarkable fact that a very small number of people still have the power to lead nations into war".
This nomos-phusis debate raised a fundamental challenge to the ordering intellectual assumptions of the polis, even though the sophists advertised themselves as teaching skills for success within it, a number of them being employed as diplomats by cities eager to exploit their rhetorical abilities.
Among its many achievements, Mr. Haynes's film hurls a Molotov cocktail through the facade of the Hollywood biopic factory, exploding the literal-minded, anti-intellectual assumptions that guide even the most admiring cinematic explorations of artists' lives.
If a censor noted that a work would be read only by "intellectuals," the assumption seemed to be that such people would not choose to bring down the state.
