If you attack a mathematical problem directly, very often you come to a dead end, nothing you do seems to work and you feel that if only you could peer round the corner there might be an easy solution. There is nothing like having somebody else beside you, because he can usually peer round the corner.
Interpretation
Collaboration can lead to new perspectives and solutions to difficult problems.
This quote by Michael Atiyah emphasizes the value of collaboration and seeking support when faced with challenging problems, especially in mathematics. It suggests that while direct attacks on complex issues can lead to frustration and dead ends, having someone else involved in the process can provide new insights and alternative approaches, highlighting the importance of shared perspectives in problem-solving.
In practice
In a team meeting discussing project challenges, this quote could inspire collaboration among team members.
In the broad light of day mathematicians check their equations and their proofs, leaving no stone unturned in their search for rigour. But, at night, under the full moon, they dream, they float among the stars and wonder at the miracle of the heavens. They are inspired. Without dreams there is no art, no mathematics, no life.
Our duty is to encourage every one in his struggle to live up to his own highest idea, and strive at the same time to make the ideal as near as possible to the Truth.
If the lecture is good, then everything is too smooth. That's the same in music: if the performance is too good, you really don't enjoy it, because it just goes by, and you can never penetrate into the heart of it. Sometimes a poor performance is better for enjoyment, because you can look at those things that were wrong and analyze them.
Feeling will get you closer to the truth of who you are than thinking. I cannot tell you anything that deep within you don't already know. When you have reached a certain stage of inner connectedness, you recognize the truth when you hear it. If you haven't reached that stage yet, the practice of body awareness will bring about the deepening that is necessary.
I will not just live my life. I will not just spend my life. I will invest my life.
Don't ask me who's influenced me. A lion is made up of the lambs he's digested, and I've been reading all my life.
Since you have to do the things you have to do, be wise enough to do some of the things you want to do.
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