XiXiDu comments on What bothers you about Less Wrong? - Less Wrong

18 Post author: Will_Newsome 19 May 2011 10:23AM

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Comment author: XiXiDu 08 June 2011 11:36:29AM *  4 points [-]

first encountered humans who couldn't understand basic arithmetic at university

When I first saw a fraction, e.g. 1/4, I had real trouble to accept that it equals .25. I was like, "Uhm, why?"...when other people are like, "Okay, then by induction 2/4=.5"...it's not that I don't understand, but do not accept. Only when I learnt that .25 is a base-10 place-value notation, which really is an implicit fraction, with the denominator being a power of ten, I was beginning to accept that it works (it took a lot more actually, like understanding the concept of prime factorization etc.). Which might be a kind of stupidity, but not something that would prevent me from ever understanding mathematics.

The concept of a function is another example:

  • f:X->Y (Uhm, what?)
  • f(x) : X -> Y (Uhm, what?)
  • f(x) = x+1 (Hmm.)
  • f(1) = 1+1 (Okay.)
  • y = f(x) (Hmm.)
  • (x, y)
  • (x, f(x))
  • (1,2) (Aha, okay.)
  • (x,y) is an element of R (Hmm.)
  • R is a binary relation (Uhm, what?)
  • x is R-related to y (Oh.)
  • xRy
  • R(x,y) (Aha...)
  • R = (X, Y, G)
  • G is a subset of the Cartesian product X × Y (Uhm, what?)

...so it goes. My guess is that many people appear stupid because their psyche can't handle apparent self-evidence very well.