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In logic, equivocation ("calling two different things by the same name") is an informal fallacy resulting from the use of a particular word or expression in multiple senses within an argument. [1] [2] It is a type of ambiguity that stems from a phrase having two or more distinct meanings, not from the grammar or structure of the sentence. [1]
Equivocation – using a term with more than one meaning in a statement without specifying which meaning is intended. [21] Ambiguous middle term – using a middle term with multiple meanings. [22] Definitional retreat – changing the meaning of a word when an objection is raised. [23]
In propositional logic, material implication [1] [2] is a valid rule of replacement that allows a conditional statement to be replaced by a disjunction in which the antecedent is negated. The rule states that P implies Q is logically equivalent to not- P {\displaystyle P} or Q {\displaystyle Q} and that either form can replace the other in ...
A second example provides a first proposition that appears realistic and shows how an obviously flawed conclusion still arises under this fallacy. [3] To be on the cover of Vogue Magazine, one must be a celebrity or very beautiful. This month's cover was a celebrity. Therefore, this celebrity is not very beautiful.
In everyday reasoning, the fallacy of four terms occurs most frequently by equivocation: using the same word or phrase but with a different meaning each time, creating a fourth term even though only three distinct words are used. The resulting argument sounds like the (valid) first example above, but is in fact structured like the invalid ...
[121] [122] For example, when a person runs out of drinking water in the middle of a hiking trip, they could employ the skills associated with logical reasoning to decide whether to boil and drink water from a stream that might contain dangerous microorganisms rather than break off the trip and hike back to the parking lot. This could include ...
For example, in the sentence "The word 'books' consists of five letters," "books" is mentioned, not used. mere possibilia Hypothetical or possible entities that do not actually exist but could exist under different circumstances. [186] metalanguage
The following statements are examples of false equivalence: [3] "The Deepwater Horizon oil spill is no more harmful than when your neighbor drips some oil on the ground when changing his car's oil." The "false equivalence" is the comparison between things differing by many orders of magnitude: [ 3 ] Deepwater Horizon spilled 210 million US gal ...