The consistency of Leśniewski's mereology relative to the real number system
Robert E. Clay · Journal of Symbolic Logic · 1968
It is known that Leśniewski constructed an interpretation of mereology in the real number system using binary expansions.2 Unfortunately, this construction is no longer extant. The following paper, except for a slight variation, is an attempt to reconstruct this interpretation. Leśniewski probably considered sequences of 0's and I's (except for the sequence of all 0's) and defined a first sequence as an element of the second if every place in which the first has a I, so also does the second.