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?
War is mainly a catalogue of blunders.
A historical perspective can also help free us from the ever-present danger -- especially at danger in the social sciences -- of absolutizing a theory or method which is actually relative to the fact that we live at a given moment in time in the development of our particular culture.
He can make the dry parched ground of my soul to become a pool and my thirsty barren heart as springs of water. Yes he can make this habitation of dragons this heart which is so full of abominable lusts and fiery temptations to be a place of bounty and fruitfulness unto Himself
She would have liked not to be alive, or to be always asleep.
As soon as I reach any town, I talk to the shoe-shine boys or the barbers or the people in the restaurants, because it's Mr. Joe Doakes who is very close to reality.
The heart is the secret inside the secret.
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