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.
All labor that uplifts humanity has dignity and importance and should be undertaken with painstaking excellence.
Delusions are states of mind which, when they arise within our mental continuum, leave us disturbed, confused and unhappy. Therefore, those states of mind which delude or afflict us are called 'delusions.'
have i gone mad? im afraid so, but let me tell you something, the best people usualy are.
Only where there is disillusionment and depression and sorrow does happiness arise; without the despair of loss, there is no hope.
Do not share the knowledge with which you have been blessed with everyone in general, as you do with some people in particular; and know that there are some men in whom Allah, may He he glorified, has placed hidden secrets, which they are forbidden to reveal.
Anyone can count the seeds in an apple, but only God can count the number of apples in a seed.
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