Enrico Fermi — "Never underestimate the power of a good approximation."
Never underestimate the power of a good approximation.
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More from Enrico Fermi
"We must always strive to use our knowledge for the betterment of humanity, and not for its destruction."
"My father used to say that the only way to learn something is to make mistakes, and then learn from them."
"Don't ever do a calculation without knowing the answer."
"The more you know, the more you realize you don't know."
"The greatest discovery yet to be made is the discovery of what we do not know."
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Understanding this quote
What it means
Rough estimates and simplified models are genuinely powerful tools for understanding complex problems. Precision isn't always necessary — a well-reasoned approximation can yield accurate insights, guide decisions, and reveal underlying patterns. The skill lies in knowing which details to ignore and which to keep. Approximations aren't intellectual shortcuts born of laziness; they're deliberate, disciplined simplifications that make the intractable tractable and the overwhelming manageable.
Relevance to Enrico Fermi
Fermi was legendary for 'Fermi estimation' — startlingly accurate back-of-envelope calculations with minimal data. He famously estimated the yield of the first atomic bomb test by dropping scraps of paper and measuring their displacement. His design of Chicago Pile-1, the first nuclear reactor, relied on careful approximations about neutron cross-sections before precise measurements existed. He built intuition-first physics into his teaching at the University of Chicago.
The era
Fermi worked during mid-20th century physics' most explosive era — quantum mechanics and nuclear science were rewriting reality faster than mathematical tools could keep pace. During the Manhattan Project (1942–1945), physicists faced urgent problems with incomplete data and no time for exactness. Approximation wasn't optional; it was survival. The Cold War arms race that followed demanded rapid estimation under pressure, cementing the practical value of disciplined rough calculation in science and strategy.
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