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Origin: sally.csie.ntu.edu.tw

※ 引述《yduj (beloved Mozart)》之銘言：

: :      他的paper裡 沒有任何一條方程式
: :      研究基本上就是這樣
: :      興趣很重要 能力很重要 但不是在於你修了多少課
: :      而是你已經培養了多少sense
: :      這攸關於你可以看到多深入的問題

:      是的,sense很重要,但這sense是怎麼來的呢?
:      It is still based on these fundamental knowledges.
:
:      sense 要有,但工具也要具備
:      不然想作也作不出來

The answer depends upon the degree of difficulty (or complexity) for a
physical problem you are investigating. Take Einstein for example. Einstein,
in 1905, only made modest use of math to formulate his theory of special
relativity. His physical insight (or, equivalently, deep intuition or
sense) was a key factor for his success. However, in order to formulate
his theory of the general relativity, his deep physical insight was not
enough. He needed some advanced math (namely, differential geometry and
tensor calculus) for which he got help from his undergrad classmate,
Marcel Grossmann. In fact, Einstein wielded his math tools with some
clumsiness. Perhaps, it could be the reason why it took him ten years to
formulate the theory of general relativity. If Einstein's math ability had
been as good as Hilbert's, the duration of ten years could have been shorter.
No wonder, Kip Thorne said that "with the quest to understand the laws of
physics becoming more and more mathematical as the years after 1915 passed,
Einstein became less and less the dominant figure he had been".
Nevertheless, his unique physical intuition allowed him to identify
three essential ingredients on which general relativity is based.


..

--
" The known is finite, the unknown infinite; intellectually we stand
on an islet in the midst of an illimitable ocean of inexplicability.
Our business in every generation is to reclaim  a little more land."
--- Thosmas H. Huxley

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