Here's a great video pondering the objective reality of mathematics, and running down all the different schools of thought on where mathematical truth comes from -- does it exist outside of systems of codification by intelligent beings, as an eternal part of the universe; or is it something that we invent through codification?
Is Math a Feature of the Universe or a Feature of Human Creation? | Idea Channel | PBS (Thanks, Dad!)
Source: http://boingboing.net/2013/06/22/is-math-real.html
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