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A major problem I can see is that the more interesting a problem becomes, the more impossible to visualize. You might visualize a system of linear equations wh
by nightski 12y ago
A major problem I can see is that the more interesting a problem becomes, the more impossible to visualize. You might visualize a system of linear equations when it is 3 dimensional. But try visualizing a system with 1000 dimensions. It breaks down very easily. In the end my opinion is that one is simply going to be better off learning to think critically and in the abstract.
Again just my opinion - those who say they are better at visual problems often just need to practice more without the crutch.
- seanmcdirmid 12y agoLearning how to deal with two dimensions, where visualization a are useful, is the first step to learning how to deal with 100 dimensions. Crutches are useful in getting started.
- darkmighty 12y agoA big part of abstraction for me is bringing problems into something I can visualize. This reduction itself works better if I have visual intuition. I suppose linear systems are a simple case, since their functional behavior for finite dimensions can pretty much all be mapped into 3D (I guess 4D would be a little richer with double complex eigenvalue pairs, but that's just 2x 2D rotations). I don't claim to be a great problem solver, but I've gone halfway through college so far with pretty good grades without changing how much visually I think.