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It is really true what philosophy tells us, that life must be understood backwards. But with this, one forgets the second proposition, that it must be lived forwards. A proposition which, the more it is subjected to careful thought, the more it ends up concluding precisely that life at any given moment cannot really ever be fully understood; exactly because there is no single moment where time stops completely in order for me to take position [to do this]: going backwards.

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It is quite true what Philosophy says: that Life must be understood backwards. But that makes one forget the other saying: that it must be lived — forwards. The more one ponders this, the more it comes to mean that life in the temporal existence never becomes quite intelligible, precisely because at no moment can I find complete quiet to take the backward- looking position.

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Now ordinary people are born forwards in Time, if you understand what I mean, and nearly everything in the world goes forward too. This makes it quite easy for the ordinary people to live, just as it would be easy to join those five dots into a W if you were allowed to look at them forwards, instead of backwards and inside out. But I unfortunately was born at the wrong end of Time, and I have to live backwards from in front, while surrounded by a lot of people living forwards from behind. Some people call it having second sight.
~Merlin

The third helpful notion is that it is not enough to think problems through forward. You must also think in reverse, much like the rustic who wanted to know where he was going to die so that he’d never go there. Indeed, many problems can’t be solved forward. And that is why the great algebraist Carl Jacobi so often said, “Invert, always invert,” and why the Pythagoreans51 thought in reverse to prove that the square root of two was an irrational number.

Imagine taking a test knowing the answer. While we know that history flows forward, it is difficult to realize that we envision it backward. Why is it so? We will discuss the point in Chapter 11 but here is a possible explanation: Our minds are not quite designed to understand how the world works, but, rather, to get out of trouble rapidly and have progeny. If they were made for us to understand things, then we would have a machine in it that would run the past history as in a VCR, with a correct chronology, and it would slow us down so much that we would have trouble operating. Psychologists call this overestimation of what one knew at the time of the event due to subsequent information the hindsight bias, the “I knew it all along” effect.

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