Dictionary English – logic/formal symbols/expresssions

What are the symbols used in logic?

Logic math symbols table

Symbol Symbol Name Meaning / definition
~ tilde negation
equivalent if and only if (iff)
equivalent if and only if (iff)

What does → mean in logic?

The → symbol is a connective. It’s a symbol which connects two propositions in the context of propositional logic (and its extensions, first-order logic, and so on). The truth table of → is defined to be that p→q is false if and only if p is true and q is false.

What is formal logic and examples?

A common example of formal logic is the use of a syllogism to explain those connections. A syllogism is form of reasoning which draws conclusions based on two given premises. In each syllogism, there are two premises and one conclusion that is drawn based on the given information.

What is the symbol to represent logical and?

The logical AND operation is represented by an asterisk (*). Certain facts involving negation, the OR operation, and the AND operation have been proven in Boolean algebra, and are known as DeMorgan’s Laws.

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What are symbols called?

This table contains special characters.

Symbol Name of the symbol Similar glyphs or concepts
& Ampersand plus sign
⟨ ⟩ Angle brackets Bracket, Parenthesis, Greater-than sign, Less-than sign
‘ ‘ Apostrophe Quotation mark, Guillemet, Prime, Grave
* Asterisk Asterism, Dagger

What does the horseshoe symbol mean in logic?

conditional statement

the horseshoe (>) is used to represent the equivalent of ~(p . ~q); it is used for any conditional statement; for any conditional “if, then” statement to be true, p>q, the negation of the conjunction of its antecedent with the negation of its consequent, must be true also. Examples: Truth Table for: p . q.

Which of the following symbols represents or in a truth table?

In a disjunction statement, the use of OR is inclusive. That means “one or the other” or both. The symbol that is used to represent the OR or logical disjunction operator is \color{red}\Large{ \vee }. It resembles the letter V of the alphabet.

What do arrows mean in truth tables?

In mathematical logic the implication arrows \Rightarrow and \Leftrightarrow are used to connect expressions as follows: p\Rightarrow q means ‘IF p is true THEN q is true. p\Leftrightarrow q means both p\Rightarrow q AND q \Rightarrow p simultaneously.

What is the symbol for an AND gate?


The AND gate is a basic digital logic gate that implements logical conjunction () from mathematical logic – AND gate behaves according to the truth table above. A HIGH output (1) results only if all the inputs to the AND gate are HIGH (1).

What does ⊃ mean in logic?

material implication

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The ⊃ symbol is used to symbolize a relationship called material implication; a compound statement formed with this connective is true unless the component on the left (the antecedent) is true and the component on the right (the consequent) is false, as shown in the truth-table at the right.

Does Plus MEAN and or or?

From Wiki: In logic and mathematics, or is a truth-functional operator also known as (inclusive) disjunction and alternation. The logical connective that represents this operator is also known as “or”, and typically written as v or + .

Which symbol can represent logical and operation?

The logical operators *AND and *OR specify the relationship between operands in a logical expression. The logical operator *NOT is used to negate logical variables or constants. *AND and *OR are the reserved values used to specify the relationship between operands in a logical expression.

What logical operator is denoted by the symbol ⋀?

Generalized Logical Connectives

Symbol Name Explanation Example
⋀ i = m n P i Generalized conjunction ( P m ∧ ⋯ ∧ P n ) ⋀ i = 1 n [ i ≠ ( i + 1 ) ]
⋁ i = m n P i Generalized disjunction ( P m ∨ ⋯ ∨ P n ) ¬ ( ⋁ i = 1 n P i ) = ⋀ i = 1 n ¬ P i

What does the wedge mean in logic?

∧ or (English symbol name wedge) (mathematics, logic) The conjunction operator, forming a Boolean-valued function, typically with two arguments, returning true only if all of its arguments are true.

What does ∼ P ∧ Q mean?

P ∧ Q means P and Q. P ∨ Q means P or Q. An argument is valid if the following conditional holds: If all the premises are true, the conclusion must be true. Some valid argument forms: (1) 1.