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For Pi to have any meaning requires a universe with at least two dimensions. Whether Pi would exist without a universe is a matter of debate.
by mr_toad 4y ago
For Pi to have any meaning requires a universe with at least two dimensions. Whether Pi would exist without a universe is a matter of debate.
- morpheos137 4y agoSo if I tree falls in a forest and nobody hears it it doesn't make a sound? Pi never has existed in a material sense. It exists as a logical potential consequent of abstract definitions regardless whether the universe does or not.
- mostlylurks 4y ago> For Pi to have any meaning requires a universe with at least two dimensions There is no such requirement. Mathematical constructs have meaning even outside of their most immediately obvious manifestation (such as the application of geometry to the understanding of physical space). Even a one-dimensional intelligent being, if such a thing is even possible, would eventually encounter pi, alongside the basics of euclidian geometry, as soon as they start doing math on datasets measuring more than one feature, as such datasets are embedded in n-dimensional spaces, where n is the number of independent features, even if physical space has less than n dimensions.