Quote:
Originally Posted by roachboy
mathematics is a particular type of conceptual space.
its features arez not models for the rest of the world.
and mathematically systems are not self-enclosed/self-enclosing---godel's theorem---so they do not operate as a model for complete logical systems in any event.
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I think this is an interesting point - I'd argue though that the real world shares this property of not being self-enclosed/ing. I'd like to think that Godel's theorem can be applied to the universe in the same way it can be applied to mathematics.
At the same time, it either elevates (or delevates(?)) mathematics to the same level as the universe
as percieved. I err on the side that believes that perception is underrated, and that a lot of how we describe the universe, its constituents and relationships is incomplete, because our perception is incomplete. Plato's cave springs to mind.
The upshot of all this is that while there may well be some absolutes, we are incapable of seeing, and extremely unlikely to ever find them - if we ever do - we'll have achieved something incredible in the process.