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Would creating Mathematics with computers be considered pure?

  1. Nov 7, 2011 #1
    Here's something a Highschool student would ask:

    If I have something considered a disability in mathematics i.e visual thinking LoL , using a computer to visualize mathematics would be considered a useful tool.

    Pure mathematics is defined as generalizing abstraction , it is the how's and why's of mathematics.

    If applied mathematics is supposed to be ugly and dull under a physical truth in a mathematical framework , would using a computer to study as well as create the beautiful and brilliant be considered pure?

    Computational Mathematics , is often a hybrid of the two , so why is it filed under applied?
    Is it because of the implementations and designing of algorithms to study mathematics , but I only want to use a computer to visualize things I can't and to represent my output - my creations? I guess I'll need to use them anyways.

    Can we open our minds here? I just need reinforcement the main answer is blatantly yes.
    This started out because an opinion made by Hardy in a Mathematicians Apology is mostly being misunderstood by me , if physical truth is ugly and dull , why do other's consider it beautiful , he thinks one aspect of reality is more prettier than the other , he's just making biased comparisons. But it still haunts me to this day , is it really ugly and dull just applying? Am I ruminating too much?

    I am also asking this question because I have a future career in computational geometry and I would want to know if this is considered pure , as the idea of purity being the purist of the water seems to intrigue me , but it's nothing important.
    Last edited: Nov 7, 2011
  2. jcsd
  3. Nov 7, 2011 #2
    Pure in what sense? Pure mathematics? Yes. Pure mathematics is defined by what it studies.
  4. Nov 7, 2011 #3
    Thanks :D
  5. Nov 7, 2011 #4
    Thats a relief.

    Well I guess , pure by field.
  6. Nov 7, 2011 #5
    That's not to say you wouldn't encounter opposition. Just think back to the whole four-color theorem flame war...
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