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The very notion of discreteness depends on subjective definitions of "objects". We take concepts of objects for granted because they make interacting with the w
by hausrat 1y ago
The very notion of discreteness depends on subjective definitions of "objects". We take concepts of objects for granted because they make interacting with the world tractable, but it's really hard to define them outside of minds.
- feoren 1y agoNo, discrete math is exactly the same regardless of your definition of "object". It is completely independent of that. Discrete math is important to any theoretical beings that have any concept of "objects" whatsoever. It would be mostly irrelevant to entities that have no such conception, but those entities are not writing math papers.
- dcow 1y agoWhich is exactly why I initially suggested that the structure of primes has more to do with how theoretical beings count than with how the universe propagates state.
- random3 1y agoNo, the discreetness comes from physical experiments. I do see a problem defining something outside of one’s mind or outside the universe though :)
- IAmBroom 1y agoDiscreetness only comes from experiments carried out in secret laboritories. Pronounce "lah-BORE-i-tories", obviously.
- yunwal 1y agoAs far as we know, the universe is made up of discrete units and any other type of math is an abstraction over discrete math.
- Keyframe 1y agoI thought it was a smooth continuous manifold
- datameta 1y agoTo what extent are the Planck length and Planck second confirmed smallest discrete units?
- Keyframe 1y agoI was referring to spacetime in GR is modeled as smooth continuous manifold. In case you're serious though, planck length are not some fine-grained pixels/voxels in the cartesian 3d world, at least not confirmed; in-fact planck units are derived scales.
- datameta 1y agoWhere could you recommend I read more about how they are derived scales?
- Keyframe 1y agoWikipedia is a good start, but if it's too terse/advanced there's always simple wikipedia which seems to have an explanation as well https://simple.wikipedia.org/wiki/Planck_units https://simple.wikipedia.org/wiki/Planck_units
- datameta 1y agoI suppose it was pointless of me to ask if what I received was a wiki link, no offense. Thanks.
- Keyframe 1y agoyou received a link to simplified wikipedia, which is not wikipedia. https://simple.wikipedia.org/wiki/Simple_English_Wikipedia https://simple.wikipedia.org/wiki/Simple_English_Wikipedia