Math is such a powerful tool for a Computer Programmer. However, as Hofstadter writes it can often be used for an expert system and when you have an expert system you can sometimes substitute that for a powerful intelligence. However, this is true only if you believe that intelligence is just knowledge, knowledge, and more knowledge, wrapped up in a package that allows it to be accessed. I personally do not believe this, rather choosing not to define intelligence at all (and in fact there isn’t a widely agreed upon definition.) However, if I did have to put a definition I would probably say that intelligence is more like knowledge and the knowledge about how to use it.
When using Math as a tool, especially as knowledge in a system, it is important to understand that it is not the only thing necessary however it can powerful, and rather neat. I found the example of calculated e as a simple continued fraction to be very interesting. As well, it could be used for a variety of projects that I can think of. I hope to be able to program a few expert systems later in this class, and eventually some other forms of representing knowledge.
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