deductive
/di'dʌktiv/
Definition
- 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.
Adjective
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involving inferences from general principles
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relating to logical deduction
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deductive reasoning
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