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Denying the consequent

Glossary of Statistical Terms
    A valid logical argument that concludes from the premise a → b and the premise !b that therefore, !a. the name comes from the fact that the operation denies (i.e., asserts the logical negation) the consequent (b) in the conditional.




Consequent, английский
  1. In a conditional p → q, the consequent is q.

  2. N второй член услов- ного предложения, следствие

  3. Следствие;консеквент


Conditional, английский
  1. Условный

  2. A условный | n 1 усло- вие2; 2 грм. а) условное наклонение (син. ~ mood), б) условная связь (син. ~ conjunction); 3 лог. условное высказывание mood, sentence

  3. In probabilistic expert systems, a collection of conditional distributions for the same group of variables (referred to as the head) over all of the states of a conditioning set of variables (referred to as the tail). the conditional distribution of height and weight for various mutually exclusive groupings of age and sex would be a conditional, with height and weight as the head variables and age and sex the tail variables. see also: slice.

  4. A control structure such as an if-statement or case-statement that conditionally executes a block of code


Affirming the antecedent, английский
    A valid logical argument that concludes from the premise a → b and the premise a that therefore, b is true. the name comes from the fact that the argument affirms (i.e., asserts as true) the antecedent (a) in the conditional.


Valid (logical) argument, английский
    A valid logical argument is one in which the truth of the premises indeed guarantees the truth of the conclusion. for example, the following logical argument is valid: if the forecast calls for rain, i will not wear sandals. the forecast calls for rain. therefore, i will not wear sandals. this argument has two premises which, together, guarantee the truth of the conclusion. an argument can be logically valid even if its premises are false. see also invalid argument and sound argument.