“I think some intuition leaks out in every step of an induction proof.”
Quote by Jim Propp
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“If we have no idea why a statement is true, we can still prove it by induction.”
“Nature imitates mathematics.”
Source: Indiscrete Thoughts
“Waste not thy time in windy argument but let the matter drop.”
“A generating function is a clothesline on which we hang up a sequence of numbers for display.”
“1/r^2 has a nasty singularity at r=0, but it did not bother Newton-the Moon is far enough.”
“There are two types of people ... the scrutinizers and the scrutinized”
Source: Nothing Lost