Definition

Noun: - A method of logical analysis: "reasoning by elimination" refers to the process of solving a problem or reaching a conclusion by considering all possible options and then systematically removing those that are proven to be incorrect or unacceptable. It is a deductive process where the truth is identified by discarding false alternatives.

Usage

This term is used to describe a specific logical or problem-solving strategy. - It is often employed in formal logic, scientific inquiry, detective work, and multiple-choice test-taking. - It functions as a compound noun and is typically used in formal or academic contexts.

Examples

• In logic and debate:
• In everyday problem-solving:
• In testing:

Advanced Usage

• "Process of elimination": This is a very common synonymous phrase used in less formal contexts.
  • We identified the culprit by a simple process of elimination.
• The method is foundational in disciplines like mathematics (e.g., solving systems of equations) and computer science (e.g., debugging code).

Variants and Related Words

• Process of elimination (n): A more common, often interchangeable term for the same logical method.
• Elimination method (n): Used specifically in mathematics for solving equations.
• Deductive reasoning (n): A broader category of logic that includes reasoning by elimination as a specific technique.

Synonyms

• Deduction: The general process of reasoning from general principles to specific instances.
• Exclusionary logic: A formal term emphasizing the act of excluding possibilities.
• Disjunctive syllogism: A specific form of logical argument in philosophy that follows the structure of reasoning by elimination (Either A or B; Not A; Therefore, B).

Related Phrases

• To eliminate possibilities: The verbal action central to this reasoning process.
  • The detective's first step was to eliminate possibilities.
• To narrow it down: An informal phrase describing the result of elimination.
  • By eliminating the obvious answers, we can narrow it down to two options.

Related Idioms

• "When you have eliminated the impossible, whatever remains, however improbable, must be the truth.": A famous idiom attributed to Sherlock Holmes that perfectly encapsulates the principle of reasoning by elimination.

Noun

1. analysis of a problem into alternative possibilities followed by the systematic rejection of unacceptable alternatives