Scrabble Dictionary

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Yes, syllogism is playable

...and is worth 18 points.

Found in the following dictionaries

Enable (Words with friends)
SOWPODS (Collins Scrabble Words)
OTCWL2014 (NASPA Word List 2014)
TWL06 (NASPA List 2006)

"Syllogism" Definition

noun

A subtle or specious piece of reasoning.
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.
Reasoning from the general to the specific; deduction.
A deductive scheme of a formal argument consisting of a major and a minor premise and a conclusion (as in “every virtue is laudable; kindness is a virtue; therefore kindness is laudable”).
A subtle, specious, or crafty argument.

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