Recent content by allispaul

I'd say yes, but not in the way you'd think. Intuition is a mathematician's most valuable asset -- it helps you make connections, organize your knowledge, and develop it into new knowledge. When you're given an unfamiliar statement and asked to prove it, it's your intuition that's doing the...

Honestly, it doesn't really matter whether or not multiplication can be reduced to repeated addition in suitably weird scenarios. What matters is how we should teach it to kids. I think Devlin's idea was that we should instead teach them about it in terms of scaling, thus introducing them to...

On the other hand, some professors are really lazy in terms of updating websites. Likewise, some professors teach straight from the book, in which case class is less important if you're good at learning from the book, and some go all over the place. You're more likely to encounter the first...

Awesome, I got into Cornell for the combinatorics of triangulations project. I'd like to hear back from Williams before responding (I applied to the algebra project), but since other people on this thread have already heard from them, my chances are probably slim.