In the second part of the article, certain words have been removed from the text; choose the correct word for each of the gaps below.
These three crises could be hinting that the GAP 1 dominant Platonic conception of mathematics is inadequate. As Davies remarks, "These crises GAP 2 simply be analogous to GAP 3 that human beings will never be able to construct buildings a thousand kilometres GAP 4 and that imagining what such buildings might "really" be like is simply indulging in fantasies. We GAP 5 a profound and irreversible change in mathematics GAP 6 will affect decisively GAP 7 character. Mathematics will be seen GAP 8 the creation of finite human beings, liable to error in the same way as all other activities in which we indulge. Just as in engineering, mathematicians will GAP 9 to declare their degree of confidence that certain results are reliable, rather GAP 10 being able to declare flatly that the proofs are correct.