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Actually, I regard the way you presented your solution as an abuse of (linguistic) notation. Everybody seems to have their own natural syntactic habits of form and idiom which they can readily understand. However these habits often come to woe when discussing math/logic etc with others. I've often come up with a short three sentence explanation of a proof that made complete sense to me, yet completely bewildered others. Not to mention certain passages of Shakespeare make me feel like my brain's parser is broken - like one of those int **&* brainteasers. This is why we have mathematical notation - I bet if you'd written down the equation, we'd all take one look at what you said and agreed immediately.
Actually, I regard the way you presented your solution as an abuse of (linguistic) notation. Everybody seems to have their own natural syntactic habits of form and idiom which they can readily understand.
However these habits often come to woe when discussing math/logic etc with others. I've often come up with a short three sentence explanation of a proof that made complete sense to me, yet completely bewildered others. Not to mention certain passages of Shakespeare make me feel like my brain's parser is broken - like one of those int **&* brainteasers.
This is why we have mathematical notation - I bet if you'd written down the equation, we'd all take one look at what you said and agreed immediately.