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 essential thing is to spring forth, to express the bolt of lightning one senses upon contact with a thing. The function of the artist is not to translate an observation but to express the shock of the object on his nature; the shock, with the original reaction.
Like every novelist, I fantasise about film. Novelists are not equipped to make a movie, in my opinion. They make their own movie when they write: they're casting, they're dressing the scene, they're working out where the energy of the scene is coming from, and they're also relying tremendously on the creative imagination of the reader.
Art is never chaste. It ought to be forbidden to ignorant innocents, never allowed into contact with those not sufficiently prepared. Yes, art is dangerous. Where it is chaste, it is not art.
The first act of insight is throw away the labels. In fiction, while we do not necessarily write about ourselves, we write out of ourselves, using ourselves; what we learn from, what we are sensitive to, what we feel strongly about--these become our characters and go to make our plots. Characters in fiction are conceived from within, and they have, accordingly, their own interior life; they are individuals every time.
Fantasy is like jam. . . . You have to spread it on a solid piece of bread. If not, it remains a shapeless thing . . . out of which you can’t make anything.
The writing life requires courage, patience, persistence, empathy, openness, and the ability to deal with rejection. It requires the willingness to be alone with oneself. To be gentle with oneself. To look at the world without blinders on. To observe and withstand what one sees. To be disciplined, and at the same time, take risks. To be willing to fail - not just once, but again and again, over the course of a lifetime.
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