Wednesday, February 10, 2010
Calculus Reflection
Taylor polynomials can only approximate the sine function or the natural exponential; no Taylor polynomial with its finite degree ever perfectly matches the function it approximates. Possibly this mirrors our own attempts to know ourselves and the world around us? Are our mental representations of ourselves and our world similar to Taylor polynomials? Is our conception of our world more like the closed form functions the “Taylors” strive to capture?
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