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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.
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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.
Venn diagram of . In logic, mathematics and linguistics, and is the truth-functional operator of conjunction or logical conjunction.The logical connective of this operator is typically represented as [1] or & or (prefix) or or [2] in which is the most modern and widely used.
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.
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