knew that in order to do what she’d done you would first have to believe it. But this seemed different. Intuition is a tough nut to crack. The cool thing about topology is that the problems you are working on are not about something else. Your hope is that in solving them they will explain to you why you were asking them. You’re tracking down the affine. Can you really stretch a surface any way you like? What if you stretched it to infinity? The width would narrow infinitely. Can the limits of the infinitesimal be approached forever? The mathematics may say yes but you dont believe it.
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