Comments by "kazedcat" (@kazedcat) on "Analog Chip Design is an Art. Can AI Help?" video.

@homelessrobot Yes the size of a set is important but the structure of your numbers are even more important. Is it a ring, a field, or a group. Is the multiplication associative, does it have a a zero product. Is it close under division, does it has a square root of a negative. For example a number system where only primes are allowed it is countably infinite the same size as natural numbers but it is a lot harder to work with because your basic operations +,-,× does not work properly.
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@homelessrobot But planck scale is not digital yes they are quantize but quantum object does not behave like classical object. So instead of bits you are dealing with qubits. And when dealing with qubits entanglement and decoherence becomes a problem which is a lot harder than analog.
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@homelessrobot Think of it this way. digital means integer (Z). Analog means real numbers (R). Quantum objects are complex integers (Z×Z). Yes they are countable but they are a ZxZ set instead of just Z.
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