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Roland,
The "action-reaction" terminology is misleading. I always explain that Newton's Third Law notes that forces always exist in equal and opposite pairs. Calling one an "action" and the other a "reaction" can lead to a misunderstanding that one causes the other when in fact they exist as a pair. You aren't alone in misinterpreting the terminology in that way.
In the introduction to my history of twentieth-century physics, I explain the historical importance of conservation laws, noting that Newton's Second and Third Laws lead to conservation of momentum as follows.
(Reading that now, I probably overstated the case for the Earth not orbiting the Moon. The fact is that they both orbit their common center of mass, which is inside the Earth, and that makes the Earth's orbit around that c.m. a wobble.)
Fred Bortz -- Science and technology books for young readers (www.fredbortz.com) and Science book reviews (www.scienceshelf.com)