If all sentient beings in the universe disappeared, there would remain a sense in which mathematical objects and theorems would continue to exist even though there would be no one around to write or talk about them. Huge prime numbers would continue to be prime, even if no one had proved them prime.
Interpretation
Mathematical truths exist independently of human acknowledgment.
This quote suggests that mathematical concepts and truths are eternal and objective, existing independently of human thought or existence. Even if all sentient beings were to vanish, the principles of mathematics would still hold true, highlighting the abstract nature of mathematical reality.
In practice
During a lecture on the philosophy of mathematics, this quote could illustrate the idea of mathematical realism.
Politicians, real-estate agents, used-car salesmen, and advertising copy-writers are expected to stretch facts in self-serving directions, but scientists who falsify their results are regarded by their peers as committing an inexcusable crime. Yet the sad fact is that the history of science swarms with cases of outright fakery and instances of scientists who unconsciously distorted their work by seeing it through lenses of passionately held beliefs.
Debunking bad science should be constant obligation of the science community, even if it takes time away from serious research or seems to be a losing battle. One takes comfort from the fact there is no Gresham's laws in science. In the long run, good science drives out bad.
In no other branch of mathematics is it so easy for experts to blunder as in probability theory.
There are, and always have been, destructive pseudo-scientific notions linked to race and religion; these are the most widespread and damaging. Hopefully, educated people can succeed in shedding light into these areas of prejudice and ignorance, for as Voltaire once said: "Men will commit atrocities as long as they believe absurdities."
Modern science should indeed arouse in all of us a humility before the immensity of the unexplored and a tolerance for crazy hypotheses.
A surprising proportion of mathematicians are accomplished musicians. Is it because music and mathematics share patterns that are beautiful?
Love is cheap. You can buy it anywhere. Lives are cheap. It's money that's dear. You have to work days and sit up nights thinking how to make money.
... consciousness is an ever-unfolding, deepening, and expanding process with no end point. We are infinite and complex beings, and our human journey involves not just a spiritual awakening, but the development of all levels of our being - spiritual, mental, emotional, and physical - and the integration of all these aspects into a healthy and balanced daily life.
To lapse in fulness Is sorer than to lie for need, and falsehood Is worse in kings than beggars.
If you go into an underground train in London - probably anywhere, but chiefly in London - there's that sense of almost entering a ghostly dimension. People are very still and quiet; they don't exchange many pleasantries.
Sin is too stupid to see beyond itself.
I am interested in madness. I believe it is the biggest thing in the human race, and the most constant. How do you take away from a man his madness without also taking away his identity? Are we sure it is desirable for a man's spirit not to be at war with itself, or that it is better to be serene and ready to go to dinner than to be excited and unwilling to stop for a cup of coffee, even?
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