Though the structures and patterns of mathematics reflect the structure of, and resonate in, the human mind every bit as much as do the structures and patterns of music, human beings have developed no mathematical equivalent to a pair of ears. Mathematics can only be "seen" with the "eyes of the mind". It is as if we had no sense of hearing, so that only someone able to sight read music would be able to appreciate its patterns and harmonies.
Like a Shakespearean sonnet that captures the very essence of love, or a painting that brings out the beauty of the human form that is far more than … - Keith Devlin
Like a Shakespearean sonnet that captures the very essence of love, or a painting that brings out the beauty of the human form that is far more than …
- Keith Devlin
Mathematical thinking is not the same as doing mathematics - at least not as mathematics is typically presented in our school system. School math typ… - Keith Devlin
Mathematical thinking is not the same as doing mathematics - at least not as mathematics is typically presented in our school system. School math typ…
Though the structures and patterns of mathematics reflect the structure of, and resonate in, the human mind every bit as much as do the structures an… - Keith Devlin
Though the structures and patterns of mathematics reflect the structure of, and resonate in, the human mind every bit as much as do the structures an…
In fact, the answer to the question "What is mathematics?" has changed several times during the course of history... It was only in the last twenty y… - Keith Devlin
In fact, the answer to the question "What is mathematics?" has changed several times during the course of history... It was only in the last twenty y…
Calculus works by making visible the infinitesimally small. - Keith Devlin
Calculus works by making visible the infinitesimally small.
A PhD in Mathematics is three years of guessing it wrong, plus one week of getting it right and writing a dissertation. - Keith Devlin
A PhD in Mathematics is three years of guessing it wrong, plus one week of getting it right and writing a dissertation.
Just as music comes alive in the performance of it, the same is true of mathematics. The symbols on the page have no more to do with mathematics than… - Keith Devlin
Just as music comes alive in the performance of it, the same is true of mathematics. The symbols on the page have no more to do with mathematics than…
I certainly do care about measuring educational results. But what is an 'educational result?' The twinkling eyes of my students, together with their … - Keith Devlin
I certainly do care about measuring educational results. But what is an 'educational result?' The twinkling eyes of my students, together with their …
We mathematicians are used to the fact that our subject is widely misunderstood, perhaps more than any other subject (except perhaps linguistics). - Keith Devlin
We mathematicians are used to the fact that our subject is widely misunderstood, perhaps more than any other subject (except perhaps linguistics).
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