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A comment on Is Information in the Brain Represented in Continuous or Discrete Form?. Parent comment

Re:Is Information in the Brain Represented in Continuous or ... by myWindoonn on Tuesday May 22, 2018 @09:28AM (#17125753)
What about the computable reals? Our computer programs are, in a sense, capable of emitting the digits of any computable real number, and we have arithmetic (Gosper continued-fraction arithmetic) on those digits.

The fact that values might be discrete does not change that programs might be continuous over their output range; functions from computable reals to computable reals can be continuous.

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Re:Is Information in the Brain Represented in Continuous or ... by EGreg on Tuesday May 22, 2018 @11:42AM (#17126757)
Exactly.

The question isn’t whether something is discrete so much as whether it is sampling a continuous function. Can you have arbitrarily large jumps, or not?

See Buridan’s Principle :)

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