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.
Interpretation
This quote emphasizes the balance between logic and creativity in mathematics and life.
Michael Atiyah's quote highlights the dual aspects of human endeavor, particularly in mathematics. In the brightness of day, mathematicians rigorously analyze and verify their work, ensuring accuracy and precision. However, at night, they allow themselves to dream and explore the limitless possibilities of the universe, which fuels their inspiration and creativity. This interplay between rigorous discipline and imaginative exploration is what sustains not only mathematics and art but also the essence of life itself.
In practice
This quote can serve as motivation for students struggling in math, reminding them to balance study with creativity.
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.
I've met the Dalai Lama briefly, but I would probably say my grandfather was the wisest person I ever met. He was my mother's father, an Indian, a family doctor, and very unlike me in that he was deeply religious.
Be generous in prosperity and thankful in adversity, Be fair in thy judgment, and guarded in thy speech. Be a lamp unto those who walk in darkness, and a home to the stranger. Be eyes to the blind, and a guiding light unto the feet of the erring. Be a breath of life to the body of humankind, a dew to the soil of the human heart, and a fruit upon the tree of humility.
Often any decision, even the wrong decision, is better than no decision.
The greatest force of personal liberation is the decision to widen our circle of compassion, moving from focus on self to focus on service.
When something feels right, that means it is right for you. Pay attention to your authentic feelings, and follow where they lead.
Facts are facts and will not disappear on account of your likes.
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