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Logical connective - Wikipedia, the free encyclopedia
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Truth function - Wikipedia, the free encyclopedia
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 generally th...
en.wikipedia.org/wiki/Truth_function |
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Logic Also called a truth-functional operator or truth-functional constant. These connectives are special signs for the various relations between sentences, propositions, or statements in a truth functional system.
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another term for truth-functional connective ... log in or subscribe to read full tex ... truth conditions ... truth-functional constant,
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A truth-functional sentential connective is a special kind of sentential connective. To say that a connective is truth-functional is to ... So for example "~" is a truth-functional connective, because the truth-value of "~φ" is simply the opposite of "φ". It does not depend on the meaning of φ or any other features.
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Conjunction is a truth-functional connective similar to "and" in English and is represented in symbolic logic with the dot " ". ... The dot as a truth functional connective doesn't do everything that the "and" does in English. It might be thought of in terms of a "minimum common logical meaning" to conjoined statements.
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For example, if we knew the truth values of p and of q, then we could figure out the truth value of the compound, p q. Therefore the compound, p q, is a truth-functional compound and disjunction is a truth-functional connective.
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What is the function of the operator 'Ø' in (1) ? We have to consider that operator as a truth-functional connective. For that purpose I introduce the connective 'NIL'. So, I rewrite (1)
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In logic, a logical connective, also called a truth-functional connective, logical operator or propositional operator, is a logical constant which represents a syntactic operation on a sentence, or the symbol for such an operation that corresponds to an operation on the logical values of those sentences. ... ; Truth tables;
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truth-conditional ... truth-conditional semantics ... truth-telling...
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