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A valid logical argument is one in which the conclusion is entailed by the premises, because the conclusion is the consequence of the premises. The philosophical analysis of logical consequence involves the questions: In what sense does a conclusion follow from its premises? and What does it mean for a conclusion to be a consequence of premises ...
Linguistic entailments are entailments which arise in natural language.If a sentence A entails a sentence B, sentence A cannot be true without B being true as well. [1] For instance, the English sentence "Pat is a fluffy cat" entails the sentence "Pat is a cat" since one cannot be a fluffy cat without being a cat.
An informal fallacy in which a conclusion is not logically justified by sufficient or unbiased evidence; drawing a general conclusion from a too-small sample size. Henkin semantics A generalization of standard first-order semantics that allows for models where the range of quantifiers can be restricted, named after Leon Henkin.
Logical consequence (or entailment), the relationship between statements that holds true when one logically "follows from" one or more others; Result (or upshot), the final consequence of a sequence of actions or events; Affirmative conclusion from a negative premise, a logical fallacy
In natural language, an instance of the paradox of entailment arises: It is raining. And It is not raining. Therefore George Washington is made of rakes. This arises from the principle of explosion, a law of classical logic stating that inconsistent premises always make an argument valid; that is, inconsistent premises imply any conclusion at all.
Here are examples: "A valid logical argument is one in which its conclusions follow from its premises, and its conclusions are consequences of its premises"; or "A valid logical argument is one in which its conclusion follows from its premises, and its conclusion is a consequence of its premises"; or "Valid logical arguments are ones in which ...
Textual entailment measures natural language understanding as it asks for a semantic interpretation of the text, and due to its generality remains an active area of research. Many approaches and refinements of approaches have been considered, such as word embedding , logical models, graphical models, rule systems, contextual focusing, and ...
conclusion iff conditions. it uses sentences of the form: conclusion if conditions. to reason forwards from conditions to conclusions or backwards from conclusions to conditions. The database semantics is analogous to the legal principle expressio unius est exclusio alterius (the express mention of one thing excludes all others). Moreover, it ...