Essay heading: Mathematician'S Knowledge Versus Scientist'S Knowledge

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March 14, 2006






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A mathematical theory is either correct or is not. Either the theory is proven to work, or it is quickly discarded. Mathematics has no room for doubts. Even if all mathematicians stand up and say "We do not understand this." if it is possible to prove it, it is a fact. Which leads us to the process of acquiring knowledge...
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Scientists usually work by means of observation. They observe, and draw conclusions from what occurred. For the knowledge is already there, waiting to be harvested. Mathematicians, on the contrary, obtain knowledge by making it up as they go. Mathematics is never there until we make it up. With sciences, if there is nothing to observe, no new knowledge can be obtained...
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