Page "Liar paradox" Paragraph 38
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In the boolean domain " A = false " is equivalent to " not A " and therefore the equation is not solvable.
The simplest logical approach to make the equation solvable is the dialetheistic approach, in which case the solution is A being both " true " and " false ".
Other resolutions mostly include some modifications of the equation ; Arthur Prior claims that the equation should be " A
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