Truth-value in the context of "Extension (predicate logic)"

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⭐ Core Definition: Truth-value

In logic and mathematics, a truth value, sometimes called a logical value, is a value indicating the relation of a proposition to truth, which in classical logic has only two possible values (true or false). Truth values are used in computing as well as various types of logic.

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👉 Truth-value in the context of Extension (predicate logic)

The extension of a predicate – a truth-valued function – is the set of tuples of values that, used as arguments, satisfy the predicate. Such a set of tuples is a relation.

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Truth-value in the context of Perspectivism

Early forms of perspectivism have been identified in the philosophies of Protagoras, Michel de Montaigne, and Gottfried Leibniz. However, its first major statement is considered to be Friedrich Nietzsche's development of the concept in the 19th century, influenced by Gustav Teichmüller's use of the term some years prior. For Nietzsche, perspectivism takes the form of a realist antimetaphysics while rejecting both the correspondence theory of truth and the notion that the truth-value of a belief always constitutes its ultimate worth-value. The perspectival conception of objectivity used by Nietzsche sees the deficiencies of each perspective as remediable by an asymptotic study of the differences between them. This stands in contrast to Platonic notions in which objective truth is seen to reside in a wholly non-perspectival domain.

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Truth-value in the context of Echo response

In linguistics, an echo answer or echo response is a way of answering a polar question without using words for yes and no. The verb used in the question is simply echoed in the answer, negated if the answer has a negative truth-value. For example:

  • "Did you go to the cinema?" (or "Didn't you go to the cinema?")
  • "I did not." or "I didn't go."
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