deductive

/di'dʌktiv/
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deductive

A detective uses deductive reasoning to solve the mystery.

Definition
  1. Adjective:
    • Involving inferences from general principles: Describes a process of reasoning that moves from general statements or premises to reach a logically certain conclusion about a specific case.
    • Relating to logical deduction: Pertaining to the formal process of deduction in logic, where if the premises are true, the conclusion must necessarily be true.
Examples of Usage
  • Adjective:
    • Sherlock Holmes is famous for his use of deductive reasoning to solve mysteries.
    • In a deductive argument, the conclusion is guaranteed if all the premises are true.
    • Mathematics often relies on deductive logic to prove theorems from axioms.
Advanced Usage
  • "deductive inference": A conclusion reached through the process of deduction.
    • The philosopher analyzed the structure of the deductive inference.
  • "deductive approach": A method of investigation or analysis that begins with a general theory or hypothesis and tests it against specific observations.
    • The research paper used a deductive approach, starting with an established economic model.
Variants and Related Words
  • Deduce (verb): To reach a logical conclusion by deduction.
    • From the evidence, we can deduce that he was present.
  • Deduction (noun): 1. The process of reaching a deductive conclusion. 2. Something that is deducted or subtracted.
    • His conclusion was reached by logical deduction. (Meaning 1)
  • Deductively (adverb): In a deductive manner.
    • The theorem was proved deductively.
Synonyms
  • Inferential: Based on or involving inference.
  • A priori: Derived by logic, without observed facts. (Note: This is a more specific philosophical term).
  • Ratiocinative: Characterized by logical reasoning.
Antonyms
  • Inductive: Involving the derivation of general principles from specific observations.
  • Empirical: Based on observation or experience rather than theory or pure logic.
Related Phrases and Concepts
  • Deductive reasoning: The specific type of logical reasoning described by the adjective.
    • Deductive reasoning is a cornerstone of formal logic and mathematics.
  • Deductive validity: A property of an argument where it is impossible for the premises to be true and the conclusion false.
    • The focus was on the deductive validity of the argument, not the truth of its premises.
deductive

A detective uses deductive reasoning to solve the mystery.

Adjective
  1. involving inferences from general principles
  2. relating to logical deduction
    • deductive reasoning

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