Everybody who has studied mathematics knows how many shadowy difficulties he seemed to have before he understood the problem, and how impossible it was when once the demonstration had flashed upon him, ever to comprehend those indistinct difficulties again, or to call up the mental confusion, that admitted them.
This quote uses a mathematical analogy to illustrate the clarity that comes with understanding, contrasting it with the confusion of initial learning.
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More from Walter Bagehot
It is natural that those who by special and admirable culture have come to look at all things upon the artistic side, should start back from these queer peculiarities.
At last it strikes you that they grew up, house by house, on the devious tracks of the old green lanes; and if you follow on to the existing fields, you may often find the change half complete.
But it is natural also that persons used to analyse political institutions should look at these anomalies with a little tenderness and a little interest.
Subject to this saving remark, however, I not only admit, but maintain, that our Constitution is full of curious oddities, which are impeding and mischievous, and ought to be struck out.
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