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In grammar, an antecedent is one or more words that establish the meaning of a pronoun or other pro-form. [1] For example, in the sentence "John arrived late because traffic held him up," the word "John" is the antecedent of the pronoun "him." Pro-forms usually follow their antecedents, but sometimes precede them.
Uncertain inference was first described by C. J. van Rijsbergen [1] as a way to formally define a query and document relationship in Information retrieval. This formalization is a logical implication with an attached measure of uncertainty.
The name denying the antecedent derives from the premise "not P", which denies the "if" clause (antecedent) of the conditional premise. The only situation where one may deny the antecedent would be if the antecedent and consequent represent the same proposition, in which case the argument is trivially valid (and it would beg the question ...
The foundation of the uncertainty reduction theory stems from the information theory, originated by Claude E. Shannon and Warren Weaver. [2] Shannon and Weaver suggests, when people interact initially, uncertainties exist especially when the probability for alternatives in a situation is high and the probability of them occurring is equally high. [6]
An antecedent is the first half of a hypothetical proposition, whenever the if-clause precedes the then-clause. In some contexts the antecedent is called the protasis. [1] Examples: If , then . This is a nonlogical formulation of a hypothetical proposition. In this case, the antecedent is P, and the consequent is Q.
Modus ponens (also known as "affirming the antecedent" or "the law of detachment") is the primary deductive rule of inference. It applies to arguments that have as first premise a conditional statement ( P → Q {\displaystyle P\rightarrow Q} ) and as second premise the antecedent ( P {\displaystyle P} ) of the conditional statement.
An Uncertain Future As it enters its eighth decade, the World Bank faces an identity crisis. It is no longer the only lender willing to venture into struggling nations and finance huge projects.
In propositional logic, affirming the consequent (also known as converse error, fallacy of the converse, or confusion of necessity and sufficiency) is a formal fallacy (or an invalid form of argument) that is committed when, in the context of an indicative conditional statement, it is stated that because the consequent is true, therefore the ...