A surprising proportion of mathematicians are accomplished musicians. Is it because music and mathematics share patterns that are beautiful?
Interpretation
Music and mathematics both share an inherent beauty in their patterns, which may attract individuals to both fields.
In this quote, Martin Gardner suggests a fascinating intersection between the worlds of music and mathematics. He observes that many mathematicians also possess musical talents, which prompts an inquiry into whether the appreciation of patterns—deemed beautiful in both disciplines—is what draws these individuals toward both mathematics and music. This idea highlights the interconnectedness of different fields of study and art, as well as the universal recognition of beauty in structure and harmony.
In practice
In a lecture on the connections between mathematics and the arts, this quote can be used to illustrate the shared beauty found in both fields.
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.
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.
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.
The two ideas are antithetical. Insofar as photography is (or should be) about the world, the photographer counts for little, but insofar as it is the instrument of intrepid, questioning subjectivity, the photographer is all.
What I'm trying to do is just sing what comes to my body in the context of the song. And if you go by the emotion of the song, it's almost like stepping into a city. Cities have certain customs and rules and laws you can break, and that's what I was doing.
Wearing clothes should be a personal narrative of emotion. I always respond to fashion in an emotional way.
One cannot create an art that speaks to men when one has nothing to say.
I love movies, but sometimes I think it's better for actresses not to be total cinephiles. You have to be able to do the work at some point; you can't be totally starstruck. 'I can't believe it's Woody Allen!' You have to get past that.
That's the magic of art and the magic of theatre: it has the power to transform an audience, an individual, or en masse, to transform them and give them an epiphanal experience that changes their life, opens their hearts and their minds and the way they think.
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