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You may need to quantize data for error correction (as in "a trigger that differentiates symbol A from symbol B"), but you don't need numbers for that (as in "a
by TuringTest 10y ago
You may need to quantize data for error correction (as in "a trigger that differentiates symbol A from symbol B"), but you don't need numbers for that (as in "an arbitrary chaining of the sequence operator", which is the base of natural numbers).
You can have logic -binary or not- to define rules of inference, without defining a particular rule of inference for numbers (measuring quantities).
As someone else sort of implied elsewhere [1], if aliens use mathematics at all, it would probably be easier to reason with them in terms of topology rather than number theory.
[1] https://news.ycombinator.com/item?id=13969500 https://news.ycombinator.com/item?id=13969500