Something strange happened to my post and there was no option to edit it. Rather than repost the entire response, I will simply add the missing context that was supposed to be at the beginning of the post:
"My friend Mr. William Liu shared with me this interesting discussion and asked me to post my response to him. My response to William is given below, it contains my humble opinion, but perhaps it might serve to facilitate further discussions or explorations in the area."
Alex
於2013/05/22回應
What normally happens when I am presented with a situation, I seek to understand the context. Part of the context is the supposed quote from Einstein. In this age of the Internet, information is readily accessible, however, not all information are "equal". My challenging mind almost immediately decided to check the validity of the quote, and it appears it is actually a misquote, ie. there is no direct evidence the quote came from Einstein and in fact the quote is likely to be a (mis-)paraphrase from another person which has been "carried far and wide" in its misquoted form by the Internet and accepted as "fact". According to quoted works, Einstein has actually stated on many occasions that intuition does not come on its own and is built upon experience and intellect, so each play valuable roles. Why might people not check sources? Laziness, perhaps. More likely, it sounds good and give an idea gravitas if it came from a "great mind" such as Einstein's. This is very common if you recall "Power by Association" (stage 2 in Janet Hagberg's Real Power).
Going back to your query of whether you had listed "right" questions, my personal view is that even if Einstein did make the quote, I would still want to understand the context under which it was made because often meanings are distorted because words are taken out of context. What might Einstein had been thinking of or referring to at the time and is it (now and in the future) applicable to all, some, or even only one unique situation(s)? Did he retract, modify, or re-contextualize the idea at other times? Even if none of those happened, could Einstein had been incorrect (those situations have also been documented)?
Since it appears Einstein did not make the original quote and other evidence suggests he valued experience and intellect in their rightful roles. It does not appear intuition alone is valuable in discovery in Einstein's mind. My question then is what does your experiences, intellect and intuitions tell you to be "true" ~for you~?
I trust the above is of some use.
For individuals wanting to do their own due diligence or reference checking, one might try Wikiquotes (the page on Einstein's quotes is below):
http://en.wikiquote.org/wiki/Talk:Albert_Einstein
Or, better yet, seek even more reputable sources.
很高興Fun Gau兄願意分享他對愛因斯坦語錄的看法。大學時代與Fun Gau的徹夜常談一直是我人生最美好的回憶之一。
Fun Gau兄希望回到愛因斯坦的原始語錄說起。顯然他不是很讚成愛氏的這句話:
《真正有價值的是直覺。在探索的道路上,智力無甚用處》
“The only real valuable thing is intuition. The intellect has little to do on the road to discovery.”
如果普林斯敦有20到30個人數學比愛因斯坦強。但是他們的成就遠小於愛氏。是不是在暗示要有愛氏的成就必須要有他的數學程度。數學代表了智力。是’直覺”讓愛氏的成就有別於這些人?所以智力是基本配備,不同的領域要有不同的智力程度,但是新的發現主要是”直覺”….我門可以這樣來解讀愛氏的話嗎?
有2,3拾人”智力”與愛氏相當但是”直覺”輸愛氏?因為他們都在解決”錯誤的問題”。你認為愛氏所說的”直覺”就是能幫助找到”對的問題”的能力 ?”對的問題”(對的目標或方向)已經是普世價值了。因為方向最重要,方向對了遲早會達到目的地。方向錯了再努力也到不了目的地。
現在我們討論愛氏的”真正有價值的是直覺。在探索的道路上,智力無甚用處”
這句話,我們討論的題目是不是也可有以下選擇:
1. 直覺與智力是什麼?
2. 選擇”對的問題”是靠直覺嗎?
3. 直覺是可以靠努力來加強的嗎?
4. 如何培養問”對的問題”的能力?
5. 要討論愛氏的這句話應該有什麼前提?
6. 愛氏的這句話值得討論嗎?
7. 我們應討論有建設性的問題還是跟著感覺與好奇心走?
以上那個問題才是”對的問題”?還是你有別的”對的問題”?你是靠直覺,智力還是其他的能力來判斷什麼問題是”對的問題”?
我問”對問題”了嗎?
Fungau Ho
於2013/05/08回應
Very interresting link. Since there are several comments/responses on "intuition", I'll share my thoughts on that topic.
"The only real valuable thing is intuition. The intellect has little to do on the road to discovery." --- Einstein.
This is a strong and exaggerate statement. We all know that in the science field, one can not do much without intellect. How can he say that the intellect has little (which means next to nothing) to do on the road to discovery and intellect is the only real valuable thing (not one of them but the only). He stands at a much higher level than we do. We can only interpret his saying based on his level not ours.
One of the mathmatic guru in Princeton at Einstein's time said that he can find 20 to 30 mathmaticians who are more capable than Einstein, but they are solving the wrong problems. Even you are more capable, more intellective, you will be on the wrong road to discovery. What is the right problem? What is the right path? In Einstein's word, it is intuition.
Modern physics becomes more difficult to understand. Can you imagin what a 20 dimentions world will look like? They say yesterday's sciense fiction may become tomorrow's reality. Imagination and pick the right imagination (I guess that is intuition.) is the key to a successful research.
One day, an apple fell from the tree and hit Newton's head. That made Newton's imagination machine (also called brain) running. He might come up with tens or hundreds ideas why apples fell, but he liked the one best "there is an invisible force pulling it down". At that time there was no knowledge or intellect to explane the invisible force, so what do you call it, sciense fiction, imagination, or intuitive. Then, Newton worked on that intuitive and developed the theory of gravity. Newton was the greatest mind, the most intellective mathmatician at his time.
Could it be possible that some other people had similar ideas but did not have the mathmatical capability to develop into a gravity theory? Could it be possible that some other people had the same mathatical capability but developed a theory and later proven to be wrong? Now, it is your call which is the only real valuable thing on the road to discovery.
Hundreds years later, when Einstein read Newton's story, he might have tens or hundreds ideas in his mind other than the "invisible force", but he liked the one "the mass of earth define the space and time around it". Einstein was the greatest mind, the most intellective mathmatician at his time.
Halley comet visits earth periodically. Looks back in the past thousands years of history, how many historical events, novels, poems, imaginations, intuitives, studies, researchs, theories and so on and so forth were caused by Halley. Diffeerent eyes see different things and that leads to different results. The sky is blue. The rose is red. It is a wonderful world. One rice feeds hundreds people. Whatever you read out of it is just whatever you are.
It is funny that I'm thinking what would my thoughts be if I were 20, 40, or 80 years old. Just like what you see in a mirror - it is a reflection of you. I don't know what I'm talking about. Have fun reading, thinking, and let your mind fly.
愛因斯坦在發展他的廣義相對論理論的時候,時間與空間已經糾結在一起,傳統的歐氏幾何學坐標系統,已經無法用來描述他的理論,所以要從歐氏幾何,走向非歐幾何。 當時蘇黎世工業大學的格羅斯,Marcel Grossman,是當代傑出的數學家。於是愛因斯坦求教於格羅斯。格羅斯以黎曼幾何(也稱微分幾何)的理論架構,成功的幫助了愛因斯坦,來描述他的《廣義相對論》。 簡單來説,格羅斯的數學造詣高於愛因斯坦,但是《相對論》理論模型的成形,還是靠愛因斯坦的《直覺》。數學大師格羅斯所提供的數學知識,只是扮演了「工具」性的功能。 愛因斯坦的成就,當然是高於格羅斯了。 牛頓看到蘋果從樹上掉下來,啓發他去思考一個問題,就是到底是什麽力量導致蘋果從樹上掉下來?牛頓把蘋果從樹上掉下來的現象,與“地球爲什麽會繞著太陽轉”的現象,做了聯結,牛頓認爲這二個現象,是基於同一個物理定律,就是所謂的《萬有引力定律》。 牛頓理論的重點,是這個現象有絕對的普遍性,所以才叫做《萬有》引力定律。 爲了要證明這二個現象是一回事,牛頓發明了《微積分》。其實,在同一個時期,美國的科學家萊比尼茨,也發明了《微積分》。但是牛頓的成就,遠遠的大於萊佈尼茨,因爲萊佈尼茨只是一個傑出的數學家,而牛頓是先有了《萬有引力定律》這樣的「直覺」,最後以微積分的數學工具,證明了他的直覺是正確的。 我想,這就是科學家的《直覺》,與《專業知識》的差別。有專業知識的,未必有直覺;有直覺的,未必有專業知識。最終成就比較大的,是能夠運用專業知識作爲工具,為自己的直覺找出答案的真理追求者吧。 不論是牛頓,還是愛因斯坦,都是如此。他們的《直覺》,發揮了極其關鍵性的作用。