It’s all maps, no actual territory.
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No, it's all territory. Maps are just small pieces of territory that happen to be approximately isomorphic to larger pieces.
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In sum math is an invention, not discovery.
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When a mathematical invention turns out to describe something else in the physical world, it becomes a discovery, but only then.
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Just as offensive and questionable as: “All physical objects result from information processing in human brains, and therefore human brains determine what physical objects are possible, and physics has no existence independent of our psychology,” no?
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this right here is what we call an ontological mess
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... "mathematics has no existence independent of our brains"
Kiitos. Käytämme tätä aikajanasi parantamiseen. KumoaKumoa
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There is no way that math is not absolute truth. In this or any Universe. There is an unfounded stated determinism in your statement, whereas we know that not everything is deterministic.
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There is no absolute truths in math. Change the system of axioms and what was false turns true and vice verse. We do not know if the Universe is deterministic or not.
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Intriging philosophical statement
… but I do not agree, because I do not believe that mathematics is “produced”. It is more like a discovery of a vast and rich landscape! Good brains and machines are vehicles to expand this exploration. A marvelous intelectual adventure! -
I don't think he wrote a philosophical statement, but a physical one. Also, you cannot claim that something exists without proving that it exists. So the alternative is that the mathematics is produced as we extend its limits.
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