Suppose that we think of the integers lined up like dominoes. The inductive step tells us that they are close enough for each domino to knock over the next one, the base case tells us that the first domino falls over, the conclusion is that they all fall over. The fault in this analogy is that it takes time for each domino to fall and so a domino which is a long way along the line wont fall over for a long time. Mathematical implication is outside time. - Peter J. Eccles
Posted on: Wed, 22 Jan 2014 17:41:05 +0000
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