In the 1960s, Stanislaw Ulam, while doodling during a boring presentation, discovered a surprising pattern when he arranged numbers in a spiral and highlighted the primes. This spiral revealed a striking pattern and structure in the distribution of prime numbers.
📷visualizing math
Ultimately, we human beings depend on nature, so we must preserve our close relations with her. Sometimes we seem to think that technology will solve our problems and allow us to do whatever we like. This Earth Day let’s remember that the reality is we have to protect our world.
Even more important than the warmth and affection we receive, is the warmth and affection we give. It is by giving warmth and affection, by having a genuine sense of concern for others, in other words through compassion, that we gain the conditions for genuine happiness.
His Holiness’ Message for the New Year - 2024
On the occasion of the New Year, I would like to thank everyone who has sent me good wishes, and I offer my greetings to you all, brothers and sisters across the world.
Despite the many challenges that we are facing today, I feel optimistic that with a growing appreciation of how interconnected we all are in the oneness of humanity, we can all work to lead more meaningful lives and create a better world.
As human beings we share a common wish to be happy and free from pain. We are social animals who depend on others to survive. Therefore, as I often say, we should work for the benefit of others. If we cannot help them, we should at least make sure we do no harm. I have found that helping others is the best way of ensuring happiness and calm for ourselves.
I also firmly believe that we can find peace in the world only when we find peace within. Every human being has the potential to cultivate inner peace, and by so doing to contribute to the peace of our global community.
We must try to cultivate compassion and inner peace, regardless of our nationality or religion, we can contribute to the well-being and happiness of all mankind. If the last century was the century of violence, it is our responsibility to make this century the century of dialogue.
Once again, I extend warm greetings to you all. I hope that you all enjoy an auspicious beginning to the new year, 2024.
With prayers and good wishes,
Dalai Lama
Practicing compassion, caring for others and sharing their problems, lays the foundation for a meaningful life, not only at the level of the individual, family or community, but also for humanity as a whole.
Warm-heartedness is my favourite subject. As human beings our mothers gave birth to us and we survived because of her care and affection. Warm-heartedness is not only the key factor for human survival, it’s also the basis for being able to live as peaceful, happy human beings.
Our aim is to be happy—to find peace of mind. I'm not talking about the next life, or anything to do with God, but about being peaceful, happy individuals here and now.
If you try to subdue your selfish motives—anger, and so forth-and develop more kindness and compassion for others, ultimately you yourself will benefit more than you would otherwise. So sometimes I say that the wise selfish person should practise this way.
Reason and analysis can help us understand the benefits of compassion. We learn that it yields peace of mind, which leads to inner strength—so fear and suspicion are reduced. If you think about it, you may see that destructive emotions are closely related to self-centredness.
All 8 billion human beings alive today are brothers and sisters. We’re physically, mentally and emotionally the same. We all want to live a happy life and avoid suffering and we all have a right to fulfil that wish. So, it's important to acknowledge the oneness of humanity.
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Over a century ago, the German mathematician David Hilbert listed 23 unsolved problems that he predicted would shape the future of mathematics. In probing one of them, mathematicians have unearthed tunnels to other interesting questions. https://t.co/J7YYWsLftn