Symbolic Logic Symbols Symbolic Logic Symbols Symbolic logic is the method of representing logical expressions through the use of symbols and variables, rather than in ordinary language. This has the benefit of removing the ambiguity that normally accompanies ordinary languages, such as English, and allows easier operation. There are many systems of symbolic logic, such as classical propositional logic, first-order logic and modal logic. Each may have seperate symbols, or exclude the use of certain symbols. Logical Symbols :- The following table presents several logical symbols, their name and meaning, and any relevant notes. The name of the symbol (under “meaning” links to a page explaining the symbol or term and its use). Note that different symbols have been used by different logicians and systems of logic. For the sake of clarity, this site consistently uses the symbols in the left column, while the “Notes” column may indicate other commonly-used symbols.

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Operators (Connectives) ¬

negation (NOT)

The tilde ( ˜ ) is also often used.

∧

conjunction (AND)

The ampersand ( & ) or dot ( · ) are also often used.

∴

therefore

1.

Classical propositional logic,

2.

First-order logic,

3.

Modal logic.

Used to signify the conclusion of an argument. Usually taken to mean implication, but often used to present arguments in which the premises do not deductively imply the conclusion.

Each is separated by different symbols, or eliminates the use of certain symbols. Let’s see the symbolic logic symbols table. In the table of symbolic logic several logical symbols, their name and meaning, and any relevant notes are defined. It is necessary to remember that different symbols have been used by different logicians for systems of logic. Now we will see the basic logic symbols which are shown below. 1.

(⇒): - This given symbol is named as material implication.

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Explanation: Suppose we have given P ⇒ Q then given condition is either true or false for the value of P or Q is true or both. 2.

(→): - This symbol is named as implies; or if ….then.

Explanation: The meaning of implies symbol is same as material implication, this symbol mainly used to show the domain and co domain of a function. 3. (ó): - This given symbol is named as material equivalence. Explanation: Suppose we have given P ó Q then given condition is true either the value of P and Q are true or the value of P and Q both are false. 4. (⇄): - This given symbol is named as propositional logic. Explanation: Meaning of propositional logic symbol is same as the material equivalence. 5.

(∧): - This given symbol is named as logical conjunction.

Explanation: If the statement P ∧ Q is true when the value of P and Q both are true and if both are false.

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