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syllogism (noun) – 1. Logic A form of deductive reasoning consisting of a major premise, a minor premise, and a conclusion; for example, All humans are mortal, the major premise, I am a human, the minor premise, therefore, I am mortal, the conclusion.
2. Reasoning from the general to the specific; deduction.
3. A subtle or specious piece of reasoning.

Source : The Free Dictionary

Etymology : For those trained in formal argument, the syllogism is a classical form of deduction, specifically an argument consisting of a major and a minor premise and a conclusion. One example is the inference that “kindness is praiseworthy” from the premises “every virtue is praiseworthy” and “kindness is a virtue.” Syllogism came to English through Anglo-French from Latin syllogismus, which in turn can be traced back to the Greek verb syllogizesthai, meaning “to infer.” In Greek logizesthai means “to calculate” and derives from logos, meaning “word” or “reckoning.” Syl- comes from syn-, meaning “with” or “together.”

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