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New Mysterianism is often characterized as a presupposition that some problems cannot be solved. Critics of this view argue that it is arrogant to assume that a problem cannot be solved just because we have not solved it yet. On the other hand, New Mysterians would say that it is just as absurd to assume that every problem can be solved. Crucially, New Mysterians would argue that they did not start with any supposition as to the solvability of the question, and instead reached their conclusion through logical reasoning.
Owen Flanagan noted in his 1991 book Science of the Mind that some modern thinkers have suggested that consciousness may never be completely explained. Flanagan called them "the new mysterians" after the rock group ? and the Mysterians. The "old mysterians" are thinkers throughout history who have put forward a similar position. They include Leibniz, Dr. Johnson, and Thomas Huxley. Huxley wrote, "How it is that anything so remarkable as a state of consciousness comes about as a result of irritating nervous tissue, is just as unaccountable as the appearance of the Djinn, when Aladdin rubbed his lamp." [6, p. 229, quote]
Noam Chomsky distinguishes between problems, which seem solvable, at least in principle, through scientific methods, and mysteries, which do not, even in principle. He notes that the cognitive capabilities of all organisms are limited by biology, e.g. a mouse will never speak like a human. In the same way, certain problems may be beyond our understanding.
The term New Mysterianism has been extended by some writers to encompass the wider philosophical position that humans do not have the intellectual ability to solve many hard problems, not just the problem of consciousness, at a scientific level. This position is also known as Anti-Constructive Naturalism.
For example, in the mind-body problem, emergent materialism claims that humans are not smart enough to determine "the relationship between mind and matter."  Strong agnosticism is a religious application of this position.