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Daily Inspiration Quote by Claude Shannon

"Information: the negative reciprocal value of probability"

About this Quote

Shannon’s line is a scalpel disguised as a definition: it strips “information” of its everyday glow (insight, meaning, wisdom) and pins it to something colder and more useful - surprise. If an event is likely, it barely moves the needle; if it’s improbable, it delivers a jolt. Calling information “the negative reciprocal value of probability” is Shannon’s way of making that jolt computable, a quantity you can engineer around rather than philosophize over. The negative sign does rhetorical work: it flips probability’s intuition. High probability feels like “more,” but in Shannon’s world it’s “less” informationally because it tells you what you already expected.

The subtext is almost mischievously anti-romantic. Shannon is telling you that a message doesn’t become valuable because it’s profound or morally charged; it becomes informational because it narrows uncertainty. That’s a quiet rebuke to anyone tempted to treat communication as primarily about meaning. In the postwar context of codebreaking, noisy telephone lines, and early computing, this was a power move: redefine the problem so it can be solved with mathematics, then build the infrastructure of the modern world on top of it.

There’s also an implicit warning for contemporary culture. If information is tied to improbability, then systems optimized for “information” can drift toward novelty, shock, and edge cases - what’s least expected - regardless of whether it’s true, humane, or helpful. Shannon didn’t invent clickbait, but his equation explains why it works.

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TopicScience
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APA Style (7th ed.)
Shannon, Claude. (2026, January 15). Information: the negative reciprocal value of probability. FixQuotes. https://fixquotes.com/quotes/information-the-negative-reciprocal-value-of-40821/

Chicago Style
Shannon, Claude. "Information: the negative reciprocal value of probability." FixQuotes. January 15, 2026. https://fixquotes.com/quotes/information-the-negative-reciprocal-value-of-40821/.

MLA Style (9th ed.)
"Information: the negative reciprocal value of probability." FixQuotes, 15 Jan. 2026, https://fixquotes.com/quotes/information-the-negative-reciprocal-value-of-40821/. Accessed 9 Feb. 2026.

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Information as the Negative Reciprocal Value of Probability - Shannon
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About the Author

Claude Shannon

Claude Shannon (April 30, 1916 - February 24, 2001) was a Mathematician from USA.

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