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<p>Someone achieves understanding of mathematics worthy of a Fields Medal if (s)he has a deeprooted enough desire and drive to study mathematics. A variety of factors can influence the actual things the person does.</p>
<p>The ultimate power to achieve that greatness comes from the person’s inner drive, along with their perception that it’s the natural thing to strive for – the natural thing very likely has to do with an exceptionally powerful mind. </p>
<p>I think it is true that you can achieve anything if you have a deep-rooted enough desire, but how that desire comes into being is usually very complex. Not to sound silly, but the power is truly within.</p>
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<p>This is exactly correct. That desire is a tremendously difficult thing to acquire.</p>