A Quote by Oliver Heaviside

Criticized for using formal mathematical manipulations, without understanding how they worked: Should I refuse a good dinner simply because I do not understand the process of digestion?
Shall I refuse my dinner because I do not fully understand the process of digestion?
Why should I refuse a good dinner simply because I don't understand the digestive processes involved?
Mathematics is of two kinds, Rigorous and Physical. The former is Narrow: the latter Bold and Broad. To have to stop to formulate rigorous demonstrations would put a stop to most physico-mathematical inquiries. Am I to refuse to eat because I do not fully understand the mechanism of digestion?
In engineering, as in other creative arts, we must learn to do analysis to support our efforts in synthesis. One cannot build a beautiful and functional bridge without a knowledge of steel and dirt, and a considerable mathematical technique for using this knowledge to compute the properties of structures. Similarly, one cannot build a beautiful computer system without a deep understanding of how to "previsualize" the process generated by the code one writes.
To do any important work in physics a very good mathematical ability and aptitude are required. Some work in applications can be done without this, but it will not be very inspired. If you must satisfy your "personal curiosity concerning the mysteries of nature" what will happen if these mysteries turn out to be laws expressed in mathematical terms (as they do turn out to be)? You cannot understand the physical world in any deep or satisfying way without using mathematical reasoning with facility.
We should simply accept the fact that the way machines make decisions is different, and rather look at the result. If machines are providing results that we are looking for, you would mind how much human understanding was used in the process. And more likely we should look for the way of combining human skills and machine skills. And that, I believe, is the future role of humanity, is just to make sure it will be using this immense power of brute force of calculation for our benefit.
Dealing with poetry is a daunting task, simply because the reason one does it as an editor at all is because one is constantly coming to terms with one's own understanding of how to understand the world.
In studying mathematics or simply using a mathematical principle, if we get the wrong answer in sort of algebraic equation, we do not suddenly feel that there is an anti-mathematical principle that is luring us into the wrong answers.
A person less fortunate than yourself deserves the best you can give. Because of duty, and honor, and service. You understand those words? You should do your job right, and you should do it well, simply because you can, without looking for notice or reward.
A man can eat his dinner without understanding exactly how food nourishes him. A man can accept what Christ has done without knowing how it works: indeed, he certainly would not know how it works until he has accepted it.
I am invisible, understand, simply because people refuse to see me.
When the writer (or the artist in general) says he has worked without giving any thought to the rules of the process, he simply means he was working without realizing he knew the rules.
If you polled the military in Afghanistan as to how many think we should be there or not, the numbers would probably be similar to what the U.S. population believes. That's not because they're watching the news. But, hey, they are out there risking their lives. No one likes to be criticized and it really sucks to be criticized when you're risking your life.
I will never probably have the mathematical foundation to truly understand what string theorists are talking about, but it feels good, just for its own sake, to get as close to an understanding as you can.
It is the duty of the human understanding to understand that there are things which it cannot understand, and what those things are. Human understanding has vulgarly occupied itself with nothing but understanding, but if it would only take the trouble to understand itself at the same time it would simply have to posit the paradox.
Strange! I don't understand how it is that we can write mathematical expressions and calculate what the thing is going to do without being able to picture it.
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