Two boys (A and B) to share a piece of cake. All other things being equal, Mom would normally cut the cake in two fairly equal pieces, one for each boy. On this occasion, though, boy A says he wants half of the piece of cake. In a bold move, boy B says he wants the whole cake.
Let's freeze it here and see what we've got. What is a fair distribution of cake between the two boys? That's not really discussed here at all. It's simply two sides to an arguement. One wants half, the other wants all. We never delve into how much each needs, or whether both boys are fat and shouldn't have any, or boy A didn't do his homework and B did and it's a small piece anyway. We never dig into any of this. All we do is take two sides of the arguement as presented and say OK, let's split the difference. One wants half, one wants all, so what do we do? Back to the analogy.
Mom hears both (BOTH, mind you. There are only two sides, and both are fully represented in this analogy. There's no possible other solution, like the daughter would like some too. We never find out whether there are other petitioners to the cake.) sides of the issue and splits the difference. Boy A gets one third, boy B gets two thirds.
Neither gets what they wanted, both think themselves slighted, and no other sides are represented.
Did I get it right? Is that the Hegelian Dialectic?






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