sentential function (Meaning)

Wordnet

sentential function (n)

formal expression containing variables; becomes a sentence when variables are replaced by constants

Synonyms & Antonyms of sentential function

No Synonyms and anytonyms found

sentential function Sentence Examples

  1. Sentential functions are statements that contain variables, allowing for different truth values depending on the values assigned to those variables.
  2. In propositional logic, sentential functions are used to express compound propositions, like conjunctions, disjunctions, and negations.
  3. Sentential functions can be evaluated for truth or falsehood by assigning truth values to their variables.
  4. The truth table of a sentential function displays all possible combinations of truth values for its variables and the corresponding truth value of the function itself.
  5. Truth functionality is a property of sentential functions, meaning their truth value depends solely on the truth values of their constituent propositions.
  6. Sentential functions can be used to represent real-world situations and propositions, allowing for logical reasoning and analysis.
  7. The negation of a sentential function is true when the original function is false, and vice versa.
  8. The conjunction of sentential functions is only true when both functions are true.
  9. The disjunction of sentential functions is true when at least one function is true.
  10. Sentential functions play a fundamental role in propositional logic and are essential for understanding the logical structure of arguments and propositions.

FAQs About the word sentential function

formal expression containing variables; becomes a sentence when variables are replaced by constants

No synonyms found.

No antonyms found.

Sentential functions are statements that contain variables, allowing for different truth values depending on the values assigned to those variables.

In propositional logic, sentential functions are used to express compound propositions, like conjunctions, disjunctions, and negations.

Sentential functions can be evaluated for truth or falsehood by assigning truth values to their variables.

The truth table of a sentential function displays all possible combinations of truth values for its variables and the corresponding truth value of the function itself.