Georg C. Lichtenberg Quotes
I have often noticed that when people come to understand a mathematical proposition in some other way than that of the ordinary demonstration, they promptly say, "Oh, I see. That's how it must be." This is a sign that they explain it to themselves from within their own system.
Lichtenberg, Georg Christoph. The Waste Books. Translated by R. J. Hollingdale, New York Review Books, 2000.
For many scientists, this is the goal of each area of inquiry. For others, the science is crude and really not understood unless the mathematical model exists and can be verified experimentally. For Thompson, this was the difference between understanding and not.
Georg Christoph Lichtenberg was a German physicist, satirist, and Anglophile. As a scientist, he was the first to hold a professorship explicitly dedicated to experimental physics in Germany. He is remembered for his posthumously published notebooks, which he himself called Sudelbücher, a description modelled on the English bookkeeping term "scrapbooks", and for his discovery of tree-like electrical discharge patterns now called Lichtenberg figures.