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step-back

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Hippasus_ proof__r at least Nico__ retelling of it__as really so simple that when he finished sketching it out, I wasn__ even aware that we had actually proven anything. Nico paused for a few minutes to let us mull it over.It was Peter who broke the silence, ____ not sure I understand what we have done.__ico seemed to be expecting such a response. __tep back and examine the proof; in fact, you should try and do this with every proof you see or have to work out for yourself. ..."He again waited for his words to sink in, and it began to make sense for me. All my mathematics teachers (other than Bauji and Nico) always seemed to evade this part of their responsibility. They had been content to merely write out a proof on the blackboard and carry on, seemingly without concern for what the proof meant and what it told us.__ut you should not stop here. Even when you have understood a proof, and I hope you have indeed understood this proof, ask yourself the next question, the obvious one, but as critical: So what? Or, why are we proving this? What is the point? What is the context? How does it relate to us? To answer these questions we have to step back a little. Let me show you__t__ really quite delightful._ Now there was excitement in Nico__ voice.

GS
Gaurav Suri

A Certain Ambiguity: A Mathematical Novel