Either

Either is a term used in logic and mathematics to denote a choice between two mutually exclusive possibilities. It is often used in conjunction with the term "or" to indicate that one of two possibilities must be true, but not both.

Definition

In logic, "either" is used as a conjunction to introduce two or more alternatives. For example, in the statement "Either it will rain today, or it will not," the term "either" introduces the two possibilities of it raining or not raining.

In mathematics, "either" is used in a similar way to denote a choice between two mutually exclusive possibilities. For example, in the equation "x = either 2 or 3," the term "either" indicates that x can be either 2 or 3, but not both.

Usage

"Either" is often used in conjunction with the term "or" to indicate that one of two possibilities must be true, but not both. This is known as an "exclusive or" or "xor" in logic and mathematics. For example, in the statement "Either it will rain today, or it will not," the term "either" introduces the two possibilities of it raining or not raining, and the term "or" indicates that only one of these possibilities can be true.

Related Terms

• Or: A logical operator that returns true if at least one of the operands is true.
• Xor: A logical operator that returns true if exactly one of the operands is true.
• Not: A logical operator that returns the opposite of the operand.
• And: A logical operator that returns true if both operands are true.

See Also

• Logic
• Mathematics
• Conjunction (grammar)
• Disjunction (logic)

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