Definition

Noun: A system of symbolic logic that uses algebraic rules to represent and manipulate logical statements, where all variables and results have only two possible values: true or false (often represented as 1 or 0). It is the foundational mathematical framework for digital circuit design and computer operations.

Usage

"Boolean logic" is an uncountable noun. It refers to the formal system itself. * Computer processors perform calculations based on boolean logic. * Understanding boolean logic is essential for programming. * The search engine uses boolean logic to filter results (e.g., using AND, OR, NOT).

Advanced Usage

• "To implement boolean logic": To physically realize logical operations in hardware (e.g., using transistors to create logic gates).
  • The chip design implements boolean logic through a network of NAND gates.
• In a broader, metaphorical sense, it can describe any rigid, binary decision-making process.
  • The policy was criticized for its simplistic, almost boolean logic, with no room for nuance.

Variants and Related Words

• Boolean (adjective): Of or relating to Boolean logic or its two-valued system.
  • A boolean variable can only be true or false.
  • The boolean operator AND returns true only if both inputs are true.
• Boolean algebra (noun): Often used synonymously with "Boolean logic," emphasizing its algebraic structure and rules.
• Logic gate (noun): A physical device that implements a basic Boolean function (e.g., AND, OR, NOT).

Synonyms

• Symbolic logic (in the specific context devised by Boole)
• Propositional calculus (a closely related formal system)
• Binary logic

Related Phrases

• Boolean expression: A combination of variables and operators (AND, OR, NOT) that evaluates to true or false.
  • The program's behavior is controlled by a complex boolean expression.
• Boolean search: A search method that uses Boolean operators to combine keywords.
  • Use a boolean search with "climate" AND "change" to narrow the results.

Noun

1. a system of symbolic logic devised by George Boole; used in computers