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Douglas Harper's Etymology Dictionary
aporetic

c.1600, from French aporetique, from Greek aporetikos, from aporeein "to be at a loss," from aporos "impassable, impracticable, very difficult; hard to deal with; at a loss," from a-, privative prefix (see a- (3)), + poros "passage" (see pore (n.)).

Usage examples of "aporetic".

I was a remorseless extra-biller, and it seemed to me that the more exacting I was, the more eager my aporetics and dismal sufferers were to reward me for my attentions.

I am sensitive to such things, and sleeping in my workroom, and having to tidy it up and stow away my bedclothes, and then settle down to a long day with my aporetics, gave me a sense of having lost caste, of having come down in the world, which was quite unreasonable but none the less real.

To have been the presiding genius of my own clinic and to have watched my procession of patients, some of them aporetics for a certainty, but many others who improved under my care and gave weight to my Paracelsian notion of the healing art, that was anything but trivial.

I am sensitive to such things, and sleeping in my workroom, and having to tidy it up and stow away my bedclothes, and then settle down to a long day with my aporetics, gave me a sense of having lost caste, of having come down in the world, which was quite unreasonable but none the less real.

To have been the presiding genius of my own clinic and to have watched my procession of patients, some of them aporetics for a certainty, but many others who improved under my care and gave weight to my Paracelsian notion of the healing art, that was anything but trivial.