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  2. File:Logical connectives Hasse diagram.svg - Wikipedia

    en.wikipedia.org/wiki/File:Logical_connectives...

    English: The sixteen logical connectives ordered in a Hasse diagram. They are represented by: logical formulas; the 16 elements of V 4 = P^4() Venn diagrams; The nodes are connected like the vertices of a 4 dimensional cube. The light blue edges form a rhombic dodecahedron - the convex hull of the tesseract's vertex-first shadow in 3 dimensions.

  3. Logical connective - Wikipedia

    en.wikipedia.org/wiki/Logical_connective

    Logical connectives can be used to link zero or more statements, so one can speak about n-ary logical connectives. The boolean constants True and False can be thought of as zero-ary operators. Negation is a unary connective, and so on.

  4. Sentence (mathematical logic) - Wikipedia

    en.wikipedia.org/wiki/Sentence_(mathematical_logic)

    Sentences without any logical connectives or quantifiers in them are known as atomic sentences; by analogy to atomic formula. Sentences are then built up out of atomic sentences by applying connectives and quantifiers. A set of sentences is called a theory; thus, individual sentences may be called theorems.

  5. Propositional calculus - Wikipedia

    en.wikipedia.org/wiki/Propositional_calculus

    a set of operator symbols, called connectives, [18] [1] [50] logical connectives, [1] logical operators, [1] truth-functional connectives, [1] truth-functors, [37] or propositional connectives. [ 2 ] A well-formed formula is any atomic formula, or any formula that can be built up from atomic formulas by means of operator symbols according to ...

  6. Logical biconditional - Wikipedia

    en.wikipedia.org/wiki/Logical_biconditional

    Venn diagram of (true part in red) In logic and mathematics, the logical biconditional, also known as material biconditional or equivalence or biimplication or bientailment, is the logical connective used to conjoin two statements and to form the statement "if and only if" (often abbreviated as "iff " [1]), where is known as the antecedent, and the consequent.

  7. Material conditional - Wikipedia

    en.wikipedia.org/wiki/Material_conditional

    The material conditional (also known as material implication) is an operation commonly used in logic.When the conditional symbol is interpreted as material implication, a formula is true unless is true and is false.

  8. Propositional variable - Wikipedia

    en.wikipedia.org/wiki/Propositional_variable

    Formulas in logic are typically built up recursively from some propositional variables, some number of logical connectives, and some logical quantifiers.Propositional variables are the atomic formulas of propositional logic, and are often denoted using capital roman letters such as , and .

  9. Truth function - Wikipedia

    en.wikipedia.org/wiki/Truth_function

    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 ...

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