10-327/Homework Assignment 4 Solutions

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Math is like science. It is precise to the maximum. So whenever I write something in math I always want to make sure that I am clear enough. Sets are sets functions are functions numbers are numbers. Math is also like art. It is a series of arguments that we present to people to convince them what we believe is true. To some extent it is like politics or like philosophy. I like to make my arguments simple, supplemented with diagrams and illustrations so that whenever I read it I will be happy to believe what is written is true. However I still sin sometimes quoting big theorems without actually fully understand them. But I try my best not to and present the simplest arguments that anybody could understand.-Kai