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of sets, while the second compares the sets themselves.

Jonathan Lowe argues that while the empty set
:was undoubtedly an important landmark in the history of mathematics, ... we should not assume that its utility in calculation is dependent upon its actually denoting some object.

it is also the case that:
:"All that we are ever informed about the empty set is that it (1) is a set, (2) has no members, and (3) is unique amongst sets in having no members. However,

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