The phrase "a point of insisting" is not correct and does not convey a clear meaning in written English.
It may be intended to express a strong emphasis or insistence on a particular matter, but the phrasing is awkward and unclear.
Example: "At this point of insisting, we need to address the issue more seriously."
Alternatives: "a matter of insistence" or "a point of emphasis".
Among his written works is The Turning Point of Building (1959; Eng. trans. 1961), in which he made a point of insisting that technology and art were inseparable.
The Related Companies, the developer of the Time Warner Center and other major projects, has made a point of insisting that it has not made any deals.
Mitt Romney made a point of insisting that he would adhere to an unwritten rule and often violated rule about candidates not criticizing each other or contradicting American foreign policy on foreign soil.
This would not be deserving of mention had not Mr. Bergonzi in recent interviews made a point of insisting that he would sing the role as written, with no downward transpositions.
Wilder's study of daily lives framed by the echo of eternity, set in the archetypal town, Grovers Corners, N.H., makes a point of insisting on the banality of its characters and setting, using adjectives like dull and ordinary with a pride that is deeply and particularly American.
The choice of target, however, in and of itself illuminates Russia's ambivalence about Nabokov — whose love of the motherland was just as conditional: unlike, say, Solzhenitsyn, he often made a point of insisting that the Soviet Union meant nothing to him.
While the themes may be familiar, the guidelines make a big point of insisting that women in the articles have to use their real names and be willing to be photographed.
What's more, since the intellectual predecessors of the declinist are all declinists, too, he has to grapple with the tricky point of insisting that the previous era was actually a peak rather than the valley that the previous declinists thought they were looking at.
But the point of insisting on "ordinary judges" in the specified circumstances is precisely to rule out irrelevant ways of identifying the machine (i.e. ways of identifying the machine that are not relevant to the question whether it is intelligent).
He was aggressively non-conformist to the point of insisting that brushing your teeth was yuppyish.
It's a point of view that both insists upon, and resists, closeness.
