it at that. It should be past tense. Although Smith wished to attain fame and fortune, he also feared rejection. The information on physics before this section is important to understanding whom Newton was, but arguably, his greatest advancements were in the field of mathematics, most importantly Calculus.
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The paragraph summarizes the royal commonwealth essay competition 2009 fields touched by Smith and also mentions the key areas he studied. That sounds nasty, doesn't it? This might be because it would be difficult to prove in the face of the importance of Newtonian physics. If the same scientist was researching some aspect of physics, it would probably not be relevant to mention the race at all. "Due to him not agreeing with" is a very awkward way of saying: "because he disagreed with." The second bolded part should be a separate sentence. So actually, neither one was necessarily lying, and the student should not make it appear that one or the other may have been doing. You must be careful not to libel people. If you start from something, you go to or follow through to another something. Another of Smith's ideas was the method of differentiation.
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