Sunday, October 28, 2007

4th Year Project

Been working on my project more than anything else lately. The synopsis asked me to research the developments in Mathematics that took place in the 19th and 20th centuries. These developments turned out to mainly revolve around set theory, which has indeed formed a very strong foundation in modern Maths. It's obviously difficult for me to explain in a few lines, but many concepts wouldn't exist had it not been for set theory. In a (very) naive way, you think of a collection of objects as a set, before refining it with more rules and conditions. ie. A set is the 'bare bones'.
Another interesting thing I discovered was the idea of infinity as thought of in the 19th century. Apparently, infinity was not thought of as an entity in existence, as such. This is not a particularly good way of describing it, but this idea meant that you could say x tends towards or approaches infinity, but to say x = infinity meant nothing. It takes a minute or two to get your head around the concept, but pure maths is full of brain teasers.
Anyway, enough Maths for now.

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