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Logic is important because it is a very usefull tool to help humans understand the world. However one should be careful so as not to believe that logic is an all-powerful tool. Godel has shown that it has inherent limitations. Intuition can be an equally good tool to reach the truth. And let us not forget that being illogical is sometimes what geniouses do over the years in order to create new and ground-breaking theories...

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Q: Why is logic important in your life?
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