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Unclear whether salads are an annihilating subset of foods under addition

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Theorem 3: Allowed Operations

  1. Salads are closed under union and addition (the union of a salad and anything else is a salad).

I'm not convinced of this without further clarification or proof. Consider this possible counterexample:

image

Notice the bed of blueberries, orange slices, and greens underneath the turkey. Without the turkey, this would very likely be referred to as a salad by a typical English speaker; however, after adding a large enough mass of another food item (in this case, approximately 5 kilograms of turkey, and a cup of gravy), I'm no longer convinced a typical English speaker would call this a salad.
This might be because adding a large enough quantity of another food may "overshadow" the salad, decreasing the overall entropy of the sum greatly.

Future work might extend this counterexample by considering the limit of sequences of salads with mass approaching zero added to non-salad foods with mass approaching infinity.