Which preposition to use with doubtfulness

of Occurrences 7%

Rather rejoicing in the doubtfulness of the adventure, I pushed my way over the snow until my feet struck the steps.

as Occurrences 1%

To-night he was in an unusually thoughtful humour, and inclined to weigh things in the balance with a doubtfulness as to their value which was new to him.

in Occurrences 1%

There is neither a multiplicity of simple ideas to be put together, which makes the doubtfulness in the names of mixed modes; nor a supposed, but an unknown, real essence, with properties depending thereon, the precise number whereof is also unknown, which makes the difficulty in the names of substances.

Which preposition to use with  doubtfulness