“When evenly matched, you cannot win against your enemy unless you understand them. And if you truly understand, why are you fighting and not talking?”

2
"The Epigrams of Lusin"

Source: Space Opera (1965), Chapter 1 (p. 12)

The Camelot Project interview (1996)
Context: When the legend is retold, it mirrors the reality of the time, and one can learn from studying how various authors have attempted to retell the story. I don't think we have an obligation to change it radically. I think that if we ever move too far from the basic story, we would lose something very precious. I don't, for instance, approve of fantasy that attempts to go back and rewrite the Middle Ages until it conforms to political correctness in the twentieth century. That removes all the benefit from reading the story. If you don't understand other people in their time and why they did what they did, then you don't understand your own past. And when you lose your past, you lose some potential for your own future.

Go Rin No Sho (1645), The Fire Book

variant: If you can't explain something to a six-year-old, you really don't understand it yourself.
variant: If you can't explain it simply, you don't understand it well enough.
Frequently attributed to Richard Feynman
Probably based on a similar quote about explaining physics to a "barmaid" by Ernest Rutherford
Page 418 of Einstein: His Life and Times (1972) by Ronald W. Clark says that Louis de Broglie did attribute a similar statement to Einstein:
: To de Broglie, Einstein revealed an instinctive reason for his inability to accept the purely statistical interpretation of wave mechanics. It was a reason which linked him with Rutherford, who used to state that "it should be possible to explain the laws of physics to a barmaid." Einstein, having a final discussion with de Broglie on the platform of the Gare du Nord in Paris, whence they had traveled from Brussels to attend the Fresnel centenary celebrations, said "that all physical theories, their mathematical expressions apart ought to lend themselves to so simple a description 'that even a child could understand them.' "
The de Broglie quote is from his 1962 book New Perspectives in Physics, p. 184 http://books.google.com/books?id=xY45AAAAMAAJ&q=%22mathematical+expression+apart%22#search_anchor.
Cf. this quote from David Hilbert's talk Mathematical Problems given in 1900 before the International Congress of Mathematicians:
: "A mathematical theory is not to be considered complete until you have made it so clear that you can explain it to the first man whom you meet on the street."
Cf. this quote from Kurt Vonnegut's novel Cat's Cradle:
: Dr. Hoenikker used to say that any scientist who couldn't explain to an eight-year-old what he was doing was a charlatan.
Misattributed

Está atado a ellos y no comprendes cómo, porque ellos no están atados a ti.
Voces (1943)

The Jack Benny Program (Radio: 1932-1955), The Jack Benny Program (Television: 1950-1965)

Source: Dado Center Journal vol. 6, January 2016, https://www.idf.il/media/11156/ortal.pdf