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The two terms (subject and predicate) in a categorical proposition may each be classified as distributed or undistributed. If all members of the term's class are affected by the proposition, that class is distributed; otherwise it is undistributed. Every proposition therefore has one of four possible distribution of terms.
This is because in the structure of the syllogism invoked (i.e. III-1) the middle term is not distributed in either the major premise or in the minor premise, a pattern called the "fallacy of the undistributed middle". Because of this, it can be hard to follow formal logic, and a closer eye is needed in order to ensure that an argument is, in ...
The fallacy of the undistributed middle occurs when the term that links the two premises is never distributed. In this example, distribution is marked in boldface: All Z is B; All Y is B; Therefore, all Y is Z; B is the common term between the two premises (the middle term) but is never distributed, so this syllogism is invalid.
Higher income taxpayers could "park" income inside a private company instead of being paid out as a dividend and then taxed at the individual rates. To remove this tax benefit, some jurisdictions impose an "undistributed profits tax" on retained earnings of private companies, usually at the highest individual marginal tax rate.
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 ...
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]
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Superheating can occur when an undisturbed container of water is heated in a microwave oven.At the time the container is removed, the lack of nucleation sites prevents boiling, leaving the surface calm.