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“Only Through Mistakes Can There Be Discovery or Progress.”

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There is a stating that the mistake is the mother of success. Could people only make discovery or progress through mistakes? I am afraid that I do not quite agree with such an assertion. While in my perspective, mistakes are not necessary to make discover or progress, although in most circumstances it is more efficient to discover new things or to progress through mistakes.

Admittedly, mistakes could help us make progress because it is the mistake that tell us what is wrong and hence make improvement or progress. For example, many students might have the same feeling that we learn new things through the mistakes we made in our homework, and this is one of the reason that teacher ask us to do home exercises. By carefully analyzing the
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However, it is not so absolutely that without mistakes no discover or progress could be made. One convincing example is in the field of mathematics Any progress or discovery in mathematics is just the result of trying to solve the same
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