Essay heading: Intuition's role in Knowledge

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May 14, 2003






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There is no way to know if our system is the correct one without saying that we intuitively know that it is. It can be argued that because basic mathematical knowledge is the same throughout the world that our system must be the right one. However it is entirely possible that the whole world is misguided in this belief...
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That is why we must rely on the intuition that our system is right. If we challenge our intuitions then we must also challenge everything that was derived from those intuitions. An example of a simple mathematical truth is that parallel lines will never meet. Because the lines continue on forever there is no way to know for certain that the lines will never meet...
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