Thursday, May 1, 2008

Matt Page- Math as Religion?

So being a math major, I have read a few articles based on theorems covered in lectures. One of these lemmas was one by the name of Zorn’s lemma. This was a theorem used in an abstract algebra class I am currently taking. What this class centers around is the construction of all types of numbers, including but not limited to, the real numbers, complex numbers, integers, irrational and rational numbers. Although it sounds somewhat elementary, it is possible one of the most difficult and “abstract” classes I have taken. Well in one of our proofs during class we came across this Zorn’s lemma and were told by our professor that this was an optional theorem and we could choose to accept it as being true or not. This stunned most of us since everything we had gone over thus far seemed it had to be done a specific way with no exceptions. But now we were given the chance to accept a theorem as being true or not. Well basically what this theorem states is if you construct a set of numbers onto a sphere, that sphere can be split into 3 pieces each of which that can be reformed to be of same size as the original sphere. Now, when first hearing this I thought that a theorem like this would destroy almost 100 years of work in physics, specifically the law of mass conservation. If you take something and split it into two or more pieces, those pieces cannot be reconstructed to represent the exact original figure. I ended up doing research on this topic and found that there are actually a group of mathematicians who believe in this theory as a religion, and also believe numbers are a basis for everything. Although this may be true to an extent, it is kina scary to think there are individuals who believe so strongly in such an abstract theory, but at the same time they may thinks that us believing in an abstract God may be just as crazy. Whatever the case may be, from being a math major and having a quite in depth knowledge of numbers, I feel that believing in them as a religion is somewhat outlandish…but that’s just me.

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