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Talk:Boolean values: Difference between revisions
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:::::::::: You are correct that it's the wrong identity. So I fixed my previous statement.
:::::::::: That said, GCD maps to Logical OR, and LCM maps to Logical AND when 0 maps to false and 1 maps to true. GCD(0, 0) is AND(false, false). Note that we are defining LCM and GCD to satisfy the constraints of Boolean Algebra (in the sense of a Boolean Ring with Identity), and this drives the definition in the cases which would otherwise be undefined. --[[User:Rdm|Rdm]] 20:47, 1 May 2012 (UTC)
::::::::::: 1 doesn't work as indentity for GCD either: GCD(1, x) = 1, not x. Anyway, this is quickly growing into a pissing contest, and I should stop here. Let me just reiterate my position on this task: I think it's fine to keep the title as is, but it's reasonable to give a brief mention of the broader sense of the word "Boolean" if you feel like; if you want to make a new task about general Boolean algebra, make sure your example is waterproof. /zip my mouth on this subject now.--[[User:Ledrug|Ledrug]] 21:08, 1 May 2012 (UTC)
::: As to Shannon "dumbing it down" (I guess you'd rather put it this way) to two values, again, since it's about decisions, making the results always "yes" or "no" is at least practical.
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