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I always had trouble with the multiplication table
I'm going to conduct Bill's experiment and see what happens.
And I would also like to know if physicists and mathematicians can think about math in their heads without translating those symbols into their spoken or written names, and can they think about math without writing it down? As a biologist, I'm just curious how it works in their strange and mysterious minds.
[Do] physicists and mathematicians think about math in their heads without translating those symbols into their spoken or written names, and can they think about math without writing it down?
I often mentally translate mathematical functions into graphs, and manipulate them in my head graphically rather than as words or equations - especially since a lot of the functions I deal with are functions of time, or probability distributions, ie mostly representable in 2 dimensions.
I think we're at least geometrically intuitive. When it comes to other fields of mathematic we're going into pure logic, and then it's harder to define. But when you move a arm you better 'counted' on what you do, even if you didn't know you did. As for the rest of it we will always find 'prophets', people that sees connections we don't think of normally, and that make use of them. It's immaterial feelings relating to emotions and dreams to me, then relating that to if you find it easier to use logics. It's insubstantial, and hard to test as there are so many parameters defining anything you do, at any moment, from your inner state at that moment to what parameters exist outside yourself defining it.==But I have seen other relating to thought processes differing between Asian Mathematicians and Western, and I have a this funny suspicion that Russian Mathematicians may put weight on slightly different fields of mathematics too. but that is also about what you learn, not only about your language, and also about the philosophy emanating the society one live in. But what really makes me bristle is the idea of 'work ethics'? What the he* is that. You are born here, and you die here. It's all you do. 'Work ethics' is what you need to live in the moment inbetween, and that differs everywhere, with cultures, history etc. It's a non linear life, and history too I suspect