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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.
As marketed in the 1960s WFF 'N PROOF was a series of 20 games of increasing complexity, varying with the logical rules and methods available. All players must be able to recognize a " well-formed formula " (WFF in Łukasiewicz notation ), to assemble dice values into valid statements (WFFs) and to apply the rules of logical inference so as to ...
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.
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.
If t 1 and t 2 are terms then t 1 =t 2 is an atomic formula; If R is an n-ary predicate symbol, and t 1,...,t n are terms, then R(t 1,...,t n) is an atomic formula; Finally, the set of formulas is defined to be the smallest set containing the set of atomic formulas such that the following holds:
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