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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]
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 ...
Venn diagram for "A or B", with inclusive or (OR) Venn diagram for "A or B", with exclusive or (XOR). The fallacy lies in concluding that one disjunct must be false because the other disjunct is true; in fact they may both be true because "or" is defined inclusively rather than exclusively.
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 ...
free logic A form of logic that allows for terms that do not denote any existing object, differing from classical logic by not requiring every term to refer to something in the domain of discourse. free variable
Argument from fallacy is the formal fallacy of analyzing an argument and inferring that, since it contains a fallacy, its conclusion must be false. [1] It is also called argument to logic (argumentum ad logicam), the fallacy fallacy, [2] the fallacist's fallacy, [3] and the bad reasons fallacy.
Q: What do the numbers 11, 69 and 88 all have in common? A: They all read the same way when placed upside down. Q: If 2 is company and 3 is a crowd, what are 4 and 5? A: 9. Q: I add 5 to 9 and get 2.
In logic and mathematics, statements and are said to be logically equivalent if they have the same truth value in every model. [1] The logical equivalence of p {\displaystyle p} and q {\displaystyle q} is sometimes expressed as p ≡ q {\displaystyle p\equiv q} , p :: q {\displaystyle p::q} , E p q {\displaystyle {\textsf {E}}pq} , or p q ...