Sentence examples for nevertheless does not exist from inspiring English sources

My nonexistent green-eyed counterpart is completely determined and nevertheless does not exist.

Nevertheless, an optimized aerosol drug delivery system for mechanically ventilated infants still does not exist.

It still does not exist.

They still don't exist.

Nevertheless, the school does not exist yet, and the most important reason for this is the stiff opposition from anesthesiologists and their scientific societies (AAROI and others).

Petre Roman, the Social Democrats' smooth leader, while saying that "friction between parties does not exist", nevertheless carps at the government for "lacking a strong attitude" towards reform.

Nevertheless, for WCP-COQAM, there does not exist any waveform discontinuity within one block even when the CP is inserted.

Nevertheless, to the best of our knowledge, such study does not exist yet for GNP.

Nevertheless, it can happen that there does not exist an optimal solution to problem (2 - 6) prescribing such an order in period j.

Nevertheless, such clear evidence for nociceptors does not exist for other species of arthropods, including crustaceans.

And what does it mean to say that, when a state of mind is in fact 'directed toward' something that does exist, that state nevertheless could be directed toward something that does not exist?