It is not difficult for computers to generate random numbers -- they just require a non-deterministic data source. Thermal, auditory, network, keyboards, mice, etc, all contain non-deterministic data (from the perspective of the computer, at least).
Pseudo-random numbers are deterministically reproducible.
This means that if I know the algorithm and seed state I can reproduce the same pseudo-random number sequence whenever I like -- this is a very useful property.
A pseudo-random number sequence can be produced by an algorithm.
An infinite pseudo-random number sequence contains a finite amount of information -- so we can store and communicate these infinite sequences.
Truly-random numbers are not deterministically reproducible.
A truly-random number sequence cannot be produced by an algorithm.
An infinite random number sequence contains an infinite amount of information -- we cannot store or communicate these infinite sequences.
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It is not difficult for computers to generate random numbers -- they just require a non-deterministic data source. Thermal, auditory, network, keyboards, mice, etc, all contain non-deterministic data (from the perspective of the computer, at least).
Pseudo-random numbers are deterministically reproducible.
This means that if I know the algorithm and seed state I can reproduce the same pseudo-random number sequence whenever I like -- this is a very useful property.
A pseudo-random number sequence can be produced by an algorithm.
An infinite pseudo-random number sequence contains a finite amount of information -- so we can store and communicate these infinite sequences.
Truly-random numbers are not deterministically reproducible.
A truly-random number sequence cannot be produced by an algorithm.
An infinite random number sequence contains an infinite amount of information -- we cannot store or communicate these infinite sequences.