*"Unequal sameness
theory* (UST) addresses modeling of the sameness, or equivalence, of unequal
quantities. Twins have the same parents, but are not equal to each other. All
tofu tastes the same - but is acquired at different (unequal) costs. UST also
considers the converse proposition. Two equal quantities may not be the same.
Four quarters, for example, is equal to one dollar. Four quarters, though, are
clearly not the same as a dollar bill. In terms of sameness, 4 is not equal
to 1. In terms of equality, 4=1." Excerpt from *Unequal
Sameness Theory: Towards Precise Understanding of Contradictory Equivalence*
by R.J. Marks II

The precise modeling of items that are unequal, though still the same, is the goal of UST.

An example from calculus is Ocum's derivative.

Contributors to UST include ...

George Orwell, who wrote "some animals are more equal than others"

Georg Cantorshows that, even though they are unequal, a 2x2 square is the same as a 1x1 square.

Robert Boughb, who demonstrated that the limit as 2 approaches 1 is one.