Teach me about contradictions

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"I do not feed cats. My name is Paul. I do feed cats on a Sunday."

Contradiction. The first statement has no qualifiers, so it should be a contradiction. I know that apologists scramble to claim that there is some sort of invisible implied qualifier that gets them off the hook when dealing with Bible contradictions, but I don't think that could be construed here (even as a stretch), since there is no context.