once n approaches infinity

consider the following: a logic gate, containing two two way barriers, forms an impermeable gate when they are in agreement, but cannot maintain integrity if they disagree. in antithesis, two barriers form an impermeable gate when they are in disagreement, but their integrity is lost when they agree.

or now consider the following: a logic gate, containing two three way barriers, forms an impermeable gate when two are in agreement, but if they disagree their integrity is lost: 00, 01, 02, 11, 12, 22.

comparing these logic gates to universal dimensions gives an approximation to three dimensional space to the second logic gate. if the comparison were to extend to n-th dimension, faltering logic gates are exposed:

a logic gate, containing two n-th way barriers, forms an impermeable gate when two are in agreement, but if they disagree they are lost. it could also be surmised that, given a similar logic gate, a different system could be found, for example: if the primary is high they are of one accord, or if the primary is low they must disagree.
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