In Through the Revolving Dimension Doors
on
Imagining Numbers
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· Score: 1
It's remarkable that even after inverting huge vectors of hundreds or thousands of dimensions (the equivalent of flipping a pancake in 7900-dimensional-space), complex numbers still awe and terrify and lend mathematical insight.
Why is it that we can gain mathematical insight by using a 1000-dimensional matrix with complex entities, as opposed to a 2000-dimensional matrix with only real numbers?
Human intuition is illogical even in field of mathematics, the mainstay of logic. Look at the great mathematical tools and paradigms that people have opened up over the past centuries. Many of these are not about opening up mathematics, but opening up the minds of mathematicians.
Oh mind, what did I ever do to you to deserve this?!
Slashdot Mirror
It's remarkable that even after inverting huge vectors of hundreds or thousands of dimensions (the equivalent of flipping a pancake in 7900-dimensional-space), complex numbers still awe and terrify and lend mathematical insight.
Why is it that we can gain mathematical insight by using a 1000-dimensional matrix with complex entities, as opposed to a 2000-dimensional matrix with only real numbers?
Human intuition is illogical even in field of mathematics, the mainstay of logic. Look at the great mathematical tools and paradigms that people have opened up over the past centuries. Many of these are not about opening up mathematics, but opening up the minds of mathematicians.
Oh mind, what did I ever do to you to deserve this?!