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Sufficient

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Last seen on: Mirror Quick Crossword November 15 2022 Answer List

Random information on the term “Sufficient”:

Affirming the consequent, sometimes called converse error, fallacy of the converse, or confusion of necessity and sufficiency, is a formal fallacy of taking a true conditional statement (e.g., “If the lamp were broken, then the room would be dark”), and invalidly inferring its converse (“The room is dark, so the lamp is broken”), even though that statement may not be true. This arises when a consequent (“the room would be dark”) has other possible antecedents (for example, “the lamp is in working order, but is switched off” or “there is no lamp in the room”).

Converse errors are common in everyday thinking and communication and can result from, among other causes, communication issues, misconceptions about logic, and failure to consider other causes.

The opposite statement, denying the consequent, is a valid form of argument (“Modus tollens”).

Affirming the consequent is the action of taking a true statement P → Q {\displaystyle P\to Q} and invalidly concluding its converse Q → P {\displaystyle Q\to P} . The name affirming the consequent derives from using the consequent, Q, of P → Q {\displaystyle P\to Q} , to conclude the antecedent P. This illogic can be summarized formally as ( P → Q , Q ) → P {\displaystyle (P\to Q,Q)\to P} or, alternatively, P → Q , Q ∴ P {\displaystyle {\frac {P\to Q,Q}{\therefore P}}} .

Sufficient on Wikipedia

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