Nested Domains of Generality Among the Three Theories
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The three theories nest by generality: every Arrhenius pair is Brønsted-Lowry, every Brønsted-Lowry pair is Lewis, but broader theories classify reactions the narrower ones cannot.
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BF3 accepting ammonia's electron pair is Lewis chemistry with no Brønsted-Lowry or Arrhenius description available.
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No theory here is "the correct" one; each fits the scope of reaction it was built to describe.
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