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tech / sci.math / prime logic

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prime logic

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Subject: prime logic
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 by: sobriquet - Tue, 7 Dec 2021 01:42 UTC

https://www.desmos.com/calculator/noqeo4q3ew

In this visualization, one can see that identifying the primes in the spectrum of logical propositions for a non-negative number of variables N suffices to
identify the primes in the spectrum of logical propositions for (N+1) variables.
So for instance, in case of N=2, there are 16 logical propositions {0,...,15}
and among those there are 6 primes {2,3,5,7,11,13}, indicated with colors.
These can identify the 54 primes among the 256 logical propositions
{0,...,255} for N=3.

To see how numbers are organized in a square, turn off the
prime visualization and turn on the square index (and linear index if
it's still unclear how circular bit strings match up with binary numbers).

https://i.imgur.com/CFk6bDc.png


tech / sci.math / prime logic

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