For a very long time truth-value gaps were under a cloud of suspicion because they were considered logically unmanageable. So Frege declared that:“as regards concepts we have a requirement of sharp delimitation; if this were not satisfied it would be impossible to set forth logical laws about them”.Three-valued logic promised to dispel the cloud but in the eyes of many it had promised more than it could deliver. So in response to Reichenbach's plea for a three-valued quantum logic Russell replied:“This (...) is one of a number of questions as to which I am prevented from accepting a certain view by difficulties in carrying it out, but am prepared to alter my opinion if technical skill supplies an answer to my difficulties”.‘By now technical skill has supplied many alternative systems of three-valued logic, but few answers and numerous additional difficulties.’. (shrink)

Hans G. Herzberger; VII*—New Paradoxes for Old, Proceedings of the Aristotelian Society, Volume 81, Issue 1, 1 June 1981, Pages 109–124, https://doi.org/10.1093.

Hans G. Herzberger; VII*—New Paradoxes for Old, Proceedings of the Aristotelian Society, Volume 81, Issue 1, 1 June 1981, Pages 109–124, https://doi.org/10.1093.