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I would like to get your opinions on something to do with the philosophy of QM.

Quite a few quantum physicists say that when working out something to do with QM, you should just "shut up and calculate" which means that you should not be trying to visualise what is going on. I strongly disagree with this for the following reason:

I can only think of the following two types of mathematics:

1. Completely abstract mathematics which does not describe anything in the physical world and which may or may not be visualisable.

2. Applied mathematics which has been derived, at least at it root, from something visualisable.

Can anyone think of any mathematics which is not in either of the above two categories?

I don't see how the human brain, even a quantum physicists brain, can come up with mathematics which supposedly describes something in the real world but which is not, at least at some semi-abstract (if not fully real) level, visualisable.

If I was in the in the company of two quantum physicists, one of whom says they can visualise their work and the other one just says "shut up and calculate", I would want to put my faith in the visualiser. What does everyone think?

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# Should you just "shut up and calculate"?

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