Conjunction fallacy

Formal fallacy that occurs when it is assumed that specific conditions are more probable than a single general one

A conjunction effect or Linda problem is a bias or mistake in reasoning where adding extra details (an "and" statement or logical conjunction; mathematical shorthand: ∧ {\displaystyle \land } ) to a sentence makes it appear more likely. Logically, this is not possible, because adding more claims can make a true statement false, but cannot make false statements true: If A is true, then A ∧ B {\displaystyle A\land B} might be false (if B is false).

Nº Q2745415 ★

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Conjunction fallacy

Formal fallacy that occurs when it is assumed that specific conditions are more probable than a single general one

A conjunction effect or Linda problem is a bias or mistake in reasoning where adding extra details (an "and" statement or logical conjunction; mathematical shorthand: ∧ {\displaystyle \land } ) to a sentence makes it appear more likely. Logically, this is not possible, because adding more claims can make a true statement false, but cannot make false statements true: If A is true, then A ∧ B {\displaystyle A\land B} might be false (if B is false).

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From Wikipedia

A conjunction effect or Linda problem is a bias or mistake in reasoning where adding extra details (an "and" statement or logical conjunction; mathematical shorthand: ∧ {\displaystyle \land } ) to a sentence makes it appear more likely. Logically, this is not possible, because adding more claims can make a true statement false, but cannot make false statements true: If A is true, then A ∧ B {\displaystyle A\land B} might be false (if B is false). However, if A is false, then A ∧ B {\displaystyle A\land B} will always be false, regardless of what B is. Therefore, A ∧ B {\displaystyle A\land B} cannot be more likely than A.

Text: Wikipédia, CC BY-SA 4.0. · Image: Wikimedia Commons (CC BY-SA 3.0) ·

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