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  2. Logical consequence - Wikipedia

    en.wikipedia.org/wiki/Logical_consequence

    The Polish logician Alfred Tarski identified three features of an adequate characterization of entailment: (1) The logical consequence relation relies on the logical form of the sentences: (2) The relation is a priori, i.e., it can be determined with or without regard to empirical evidence (sense experience); and (3) The logical consequence ...

  3. Paradoxes of material implication - Wikipedia

    en.wikipedia.org/wiki/Paradoxes_of_material...

    An argument (consisting of premises and a conclusion) is valid if and only if there is no possible situation in which all the premises are true and the conclusion is false. For example a valid argument might run: If it is raining, water exists (1st premise) It is raining (2nd premise) Water exists (Conclusion)

  4. Textual entailment - Wikipedia

    en.wikipedia.org/wiki/Textual_entailment

    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 ...

  5. Exercising This Much Could Add 5 Years To Your Life ... - AOL

    www.aol.com/exercising-much-could-add-5...

    A new study found that Americans 40 and older could live over five years longer if they exercised as much as the top 25% of the population. Here's what to know.

  6. Entailment (linguistics) - Wikipedia

    en.wikipedia.org/wiki/Entailment_(linguistics)

    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.

  7. Alexandra Breckenridge breaks down the 'Virgin River ... - AOL

    www.aol.com/alexandra-breckenridge-breaks-down...

    At long last, Jack and Mel say "I do" in the Season 6 finale. "It’s just beautiful. It’s gorgeous and it’s not cheesy. It’s just really sweet," Breckenridge says of the wedding.

  8. Borrowing costs on 15-year fixed-rate mortgages, popular with homeowners seeking to refinance their home loan to a lower rate, also eased this week. The average rate fell to 5.96% from 6.1% last week.

  9. Material implication (rule of inference) - Wikipedia

    en.wikipedia.org/wiki/Material_implication_(rule...

    In propositional logic, material implication [1] [2] is a valid rule of replacement that allows a conditional statement to be replaced by a disjunction in which the antecedent is negated. The rule states that P implies Q is logically equivalent to not- P {\displaystyle P} or Q {\displaystyle Q} and that either form can replace the other in ...