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How do proofs about logic fit into a logical framework?

I'm learning logic from Michael O'Leary's A First Course in Mathematical Logic and Set Theory. In chapter 1 he carefully explains the meaning of logical implication (p ⊨ q), logical inference (p ⟹ q), ...
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What's the status of applied ethics?

Meta-ethics, normative ethics and applied ethics are commonly listed as the three main branches of ethics. However, I can't find an article about applied ethics in the Stanford Encyclopedia of ...