John von Neumann — "There's no sense in being precise when you don't even know what you're talking a…"
There's no sense in being precise when you don't even know what you're talking about.
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More from John von Neumann
"Mathematics is an experimental science, and definitions are its axioms."
"The problems of today cannot be solved by the methods of yesterday."
"When we look at the results of computation, we don't always know what they mean."
"The greatest value of a picture is when it forces us to notice what we never expected to see."
"The atomic bomb is a great invention. It is also a great danger."
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Understanding this quote
What it means
Before obsessing over decimal places and technical detail, make sure you actually understand the subject. Precision without conceptual grounding is theater — it looks rigorous but produces nothing useful. This warns against confusing the tools of clarity (math, measurements, formal language) with clarity itself. Genuine understanding must come first; only then does precision add value rather than creating an elaborate illusion of knowledge where none exists.
Relevance to John von Neumann
Von Neumann built some of the 20th century's most precise intellectual structures — game theory's mathematical axioms, the stored-program computer architecture, quantum mechanics formalism. But he was notorious for demanding clear problem definitions before applying rigor. Colleagues recalled he refused to engage with vague questions. His life's work was precision in service of clarity, not precision as a substitute for it — exactly what this quote defends.
The era
Von Neumann worked through the 1930s–1950s, when mathematics and computing were exploding in scope and ambition. The Manhattan Project, early computers, and the Cold War arms race all demanded urgent quantification — often of poorly understood phenomena. Economists were mathematizing social behavior; physicists modeling nuclear reactions. Pressure to appear rigorous before fully grasping problems was intense, making his insistence on conceptual foundation before formal precision both countercultural and essential.
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