logic

A way of thinking carefully through steps to decide what is true or how to solve a problem.

• Use logic to solve the puzzle.
• Her argument was based on sound logic.
• I could not follow the logic of his explanation.

Similar words: reasoning

Common phrases: use logic, sound logic, follow the logic

The way a person or group thinks, or the reasons behind a decision or action.

• I understand her logic.
• What is the logic behind this rule?
• By his logic, spending more will somehow save money.

How to use it: the logic behind something (I understand the logic behind your decision.)

Similar words: reasoning, rationale

Common phrases: someone’s logic, logic behind something, business logic

The study of exact rules used to show whether mathematical statements and arguments are true.

• She studies mathematical logic.
• The course introduces symbols used in formal logic.
• Researchers use logic to examine the foundations of mathematics.

Common phrases: mathematical logic, formal logic, study logic