 On this reading, Brouwer’s explanation of the hypothetical judgement avoids hypothetical constructions and the concomitant use of logic by considering conditions on constructions instead of constructions themselves. Instead of a “chain of hypothetical judgements” that one seems to make, one is really making a chain of transformations in which from required relations (i.e., given conditions) further relations are derived. It is, of course, a requirement that these transformations preserve mathematical constructibility, and that this preservation is itself intuitively known. The role of conditions is explicit in a statement Brouwer made at the other end of his publishing career: