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But mathematicians are present in the real world, so you can choose to see math as the discovery of the behavior of the brains of mathematicians.


lol, yes, you discover how mathematicians think, but what they think is still an invention.

In the end, I agree that if we expand the definition of the universe beyond physical world to contain "everything" then yes, every invention is also a discovery.


> what they think is still an invention

Is there anything that any human thinks (other than straight-out mimicry) that is not an invention?

If I type:

squirgle florb snozbar

would you say that I have invented something? Because if the answer to that is yes, then I'll concede the point (and observe that "invention" is not a particularly interesting concept). But if the answer is no, then I challenge you to draw a distinction between what I just did and what mathematicians do in a principled way.


neither inventions nor discoveries have to be interesting.

>squirgle florb snozbar

yes, you invented something (i think you can even claim copyright on that). I agree that it is not very interesting. mathematicians usually/sometimes produce more interesing inventions.


> yes, you invented something

OK, I guess we'll have to agree to disagree then. I would not call that an invention (and I think most people would agree).




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