Definitions for truth function
truth func·tion

WiktionaryRate this definition:0.0 / 0 votes

1. truth functionnoun

   A Boolean function whose value is interpreted as truth or falsity

WikipediaRate this definition:0.0 / 0 votes

1. Truth function

   In logic, a truth function is a function that accepts truth values as input and produces a unique truth value as output. In other words: The input and output of a truth function are all truth values; a truth function will always output exactly one truth value; and inputting the same truth value(s) will always output the same truth value. The typical example is in propositional logic, wherein a compound statement is constructed using individual statements connected by logical connectives; if the truth value of the compound statement is entirely determined by the truth value(s) of the constituent statement(s), the compound statement is called a truth function, and any logical connectives used are said to be truth functional.Classical propositional logic is a truth-functional logic, in that every statement has exactly one truth value which is either true or false, and every logical connective is truth functional (with a correspondent truth table), thus every compound statement is a truth function. On the other hand, modal logic is non-truth-functional.

WikidataRate this definition:5.0 / 1 vote

1. Truth function

   In mathematical logic, a truth function is a function from a set of truth values to truth values. Classically the domain and range of a truth function are {truth, falsehood}, but they may have any number of truth values, including an infinity of these. A sentence is truth-functional if the truth-value of the sentence is a function of the truth-value of its sub-sentences. A class of sentences is truth-functional if each of its members is. For example, the sentence "Apples are fruits and carrots are vegetables" is truth-functional since it is true just in case each of its sub-sentences "apples are fruits" and "carrots are vegetables" is true, and it is false otherwise. Not all sentences of a natural language, such as English, are truth-functional. Sentences of the form "x believes that..." are typical examples of sentences that are not truth-functional. Let us say that Mary mistakenly believes that Al Gore was President of the USA on April 20, 2000, but she does not believe that the moon is made of green cheese. Then the sentence is true while is false. In both cases, each component sentence is false, but each compound sentence formed by prefixing the phrase "Mary believes that" differs in truth-value. That is, the truth-value of a sentence of the form "Mary believes that..." is not determined solely by the truth-value of its component sentence, and hence the connective is non-truth-functional.

How to pronounce truth function?

1. Alex

   US English

   David

   US English

   Mark

   US English

   Daniel

   British

   Libby

   British

   Mia

   British

   Karen

   Australian

   Hayley

   Australian

   Natasha

   Australian

   Veena

   Indian

   Priya

   Indian

   Neerja

   Indian

   Zira

   US English

   Oliver

   British

   Wendy

   British

   Fred

   US English

   Tessa

   South African

How to say truth function in sign language?

Numerology

1. Chaldean Numerology

   The numerical value of truth function in Chaldean Numerology is: 6

2. Pythagorean Numerology

   The numerical value of truth function in Pythagorean Numerology is: 9

References

1. ^ Wiktionary
   https://en.wiktionary.org/wiki/Truth_Function
2. ^ Wikipedia
   https://en.wikipedia.org/wiki/Truth_Function
3. ^ Wikidata
   https://www.wikidata.org/w/index.php?search=truth function