Friday, November 9, 2007

Math versus psychological symbols

How is math different from psychological symbols? Both are elements of the psyche. One hint comes from the book "Where Mathematics Comes From" (WMCF), where we find that math is stable, precise, generalizable and consistent within each of its subject matters. It is also creative and open-ended by its ability to use conceptual metaphors and blends to create new forms.
Psychological symbols, on the other hand, can change or even lose their value and meaning. Play and active imagination are then required to find those references again. Psychological symbols may also be fuzzier, less generalizable, and more difficult to blend into new forms as they are often specific to a culture. Symbols' main advantage lies in being able to convey a much larger feeling component, however, than math. It is hard to imaging a national flag with an equation on it, for example!

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