Comment Incompleteness (Score 1) 230
If you believe mathematics lives outside the human brain do not read on....
"Logic" is an extension of our neural wiring. The logical statements that would be created by another being that lives, say, in a highly viscous medium or who lives on very short or very long timescales compared to humans would be almost incomprehensible to us. There would be overlaps because we share the same universe but if our understanding of nature through our development of physics has taught us anything we know our view of nature is heavily dependent upon our observation platform. Quantum "weirdness" is a fine example of the impedance mismatch between our brains which have evolved to make babies, avoid rocks etc, and the atomic scale. (Though mathematics is not physics, the mathematics that sticks around in the minds of many is that which serves some purpose in our understanding of the physical universe so its hard to separate the two.)
The observation in the article hints toward an interesting notion. Intrinsic categorization challenges embedded within networks may have something to tell us about the limits of our ability to categorize nature to some practical purpose. Thanks for the post.