The phrase "avoid assertion" is correct and usable in written English.
It can be used in contexts where one is advising against making definitive statements or claims without sufficient evidence or certainty.
Example: "In academic writing, it is important to avoid assertion and instead support your arguments with credible sources."
Alternatives: "refrain from making claims" or "steer clear of definitive statements.".
This is not to suggest we all need to keep quiet about what we believe, only that we need avoid assertions of the superiority of one belief system over others.
Notice how carefully the bank worded its statement, avoiding any assertion that there were violations while telling investigators exactly where to look for evidence of wrongdoing.
The cast and director avoid making assertions.
Papandreou has done extremely well to avoid the assertions of the inevitability of failure.
Still, it takes a comic sense of timing to interrupt himself, as he does after a dozen pages of this collection of essays, with the poker-faced claim: 'I want to avoid over-assertion.' As readers who first encountered these essays in the London Review of Books or the New Republic will know, Wood does not usually avoid problems.
Luker, a sociologist, avoids bold assertion.
This paper describes the semantic challenge underlying the concept of a coherent set of system properties, a sampling of various efforts to ascribe meaning to particular ilities, and proposes a prescriptive 20 category semantic basis for specifying a set of ilities, while avoiding the assertion of new definitions.
His accusers said that he was "dumped" in impoverished, nonwhite communities by church officials to avoid scandal, an assertion that has emerged in other recent abuse cases.
Britain's prime minister has a duty to urgently review the UK's equivocal position on Libya and avoid the damaging assertion, to which civil servants cling tight, that "there is no military solution to Libya, only political".
The neutralism ideal is addressed by retaining the identity of questioner and avoiding flat assertions except as prefaces to a question or as attributed to a third party.
