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TOK Mathematics and Sciences Essay
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- Submitted:
- Mon Mar 09 2009
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... Mathematicians have the concept of rigorous proof, which leads to knowing something with complete certainty. Consider the extent to which complete certainty might be achievable in mathematics and the natural sciences. At first thought, mathematics and the natural sciences appear to be the two areas of knowledge that are most likely to contain absolute certainty. The concept of rigorous proof which is found in mathematics is a process in which an attempt is made to find contradictions in a mathematical proof. If contradictions are not found, it is then concluded that the final statement that was investigated is completely certain. However, mathematical proofs are often based on some statements which are assumed to be true to begin with. In the natural sciences, it is often assumed that statements which are supported by scientific knowledge have to be correct. For example, if you encouraged someone to eat oranges because the Vitamin
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