Terrible advice! I tell all of my students to find
as many analogies as they can. You can never lose by increasing the number of ways in which you understand something. Analogies, some may argue, are at the heart of mathematics.
> Mathematics is the art of giving the same name to different things
Poincare.
> The art of doing mathematics consists in finding that special case which contains all the germs of generality
Hilbert.
> The vast majority of us imagine ourselves as like literature people or math people. But the truth is that the massive processor known as the human brain is neither a literature organ or a math organ. It is both and more.
John Green.
> Sometimes I think that creativity is a matter of seeing, or stumbling over, unobvious similarities between things - like composing a fresh metaphor, but on a more complex scale.
David Mitchell.
There is an ounce of truth in what you say -- metaphors can be abused to draw false conclusions. This does not mean one should cower from using them.
> Mathematics is the art of giving the same name to different things
Poincare.
> The art of doing mathematics consists in finding that special case which contains all the germs of generality
Hilbert.
> The vast majority of us imagine ourselves as like literature people or math people. But the truth is that the massive processor known as the human brain is neither a literature organ or a math organ. It is both and more.
John Green.
> Sometimes I think that creativity is a matter of seeing, or stumbling over, unobvious similarities between things - like composing a fresh metaphor, but on a more complex scale.
David Mitchell.
There is an ounce of truth in what you say -- metaphors can be abused to draw false conclusions. This does not mean one should cower from using them.