Logic symbols

Logic symbols

 

Logic symbols with Symbol Name , Meaning and definition and also with Example:

 

Symbol	Symbol Name	Meaning / Definition	Example
⋅	and	Logical AND	x ⋅ y
^	caret / circumflex	Power	x ^ y
&	ampersand	Logical AND	x & y
+	plus	Addition	x + y
∨	reversed caret	Logical OR	x ∨ y
|	vertical line	Logical OR	x | y
‘	single quote	Notation / Prime	x’
¬	negation	Logical NOT	¬x
!	exclamation mark	Factorial / Notation	x!
⊕	circled plus / oplus	Exclusive OR – XOR	x ⊕ y
~	tilde	Negation	~x
⇒	implies	Implies	P ⇒ Q
⇔	equivalent	If and only if (IFF)	P ⇔ Q
∀	for all	Universal quantifier	∀x ∈ S : P(x)
∃	there exists	Existential quantifier	∃x ∈ S : P(x)
∄	there does not exist	Negation of existential	∄x ∈ S : P(x)
∴	therefore	Logical consequence	A, B, ∴ C
∵	because / since	Explanation / Reasoning	∵ A implies B

Please note that the meanings and examples provided are general interpretations of these symbols within various contexts, such as mathematics, logic, and formal language. The specific interpretation can vary depending on the field or context in which they are used.

Logic symbols are symbols used to represent logical operations in mathematics. These symbols can be used to express ideas and make logical deductions. For example, the symbol “∨“ is used to represent the logical operation “or“, meaning that at least one of the elements in the expression must be true. Similarly, the symbol “⊃“ is used to represent the logical operation “implication“, meaning that one element implies another. Other common logic symbols include “∧“ (and), “¬“ (not), “→“ (if–then), “⊥“ (false), and “∀“ (for all). By using these symbols, mathematicians are able to express more complex ideas and make logical deductions more efficient.

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