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We can approach this with a proof by cases. We will determine whether or not a woman cares based upon what she says.

Case 1: "I don't care."

1. She cares, and she is actually daring you to do whatever it is she doesn't care about.

Case 2: "I care."

1. She cares. Do not, for any reason, do what she doesn't want you to do.

Therefore, we can conclude that a woman always cares when she says "I don't care."

Similarily, this can be proven with set theory. Let there be two sets, set A and set B, where (x : A IFF x is a circumstance that she says she doesn't care about) and (y : B IFF x is a circumstance that she says she does care about).

We can observe empirically, then, that A is a subset of B and B is a subset of A. Therefore, the two sets are equal and the woman cares about the situation.

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Q: What does it mean when a woman says I don't care?
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