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Horseshoe [1] (⊃, \supset in TeX) is a symbol used to represent: Material conditional in propositional logic; Superset in set theory; It was used by Whitehead and Russell in Principia Mathematica. In Unicode the symbol is encoded U+2283 ⊃ SUPERSET OF (⊃, ⊃, ⊃).
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.
In logic, a set of symbols is commonly used to express logical representation. The following table lists many common symbols, together with their name, how they should be read out loud, and the related field of mathematics.
Pages in category "Logic symbols" The following 49 pages are in this category, out of 49 total. ... Horseshoe (symbol) L. Literal (mathematical logic) Logical constant;
The most common convention, known as first-order logic with equality, includes the equality symbol as a primitive logical symbol which is always interpreted as the real equality relation between members of the domain of discourse, such that the "two" given members are the same member. This approach also adds certain axioms about equality to the ...
The standard notation used today (dot Logical conjunction, vee Logical disjunction, horseshoe Material conditional representing and, or, if) is a lingering, overly abstract, unsystematically selected set of symbols that was primarily developed and used by Peano, Whitehead, and Russell, or by common acronym PWR. This already exposes the primary ...
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These symbols are called logical connectives, logical operators, propositional operators, or, in classical logic, truth-functional connectives. For the rules which allow new well-formed formulas to be constructed by joining other well-formed formulas using truth-functional connectives, see well-formed formula .