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There are 9 nine-letter words beginning with LOGIC

LOGICALLYlogically adv. In a logical manner, with logic.
LOGICAL adv. pertaining to logic.
LOGICIANSlogicians n. Plural of logician.
LOGICIAN n. one who is skilled in logic.
LOGICISEDlogicised v. Simple past tense and past participle of logicise.
LOGICISE v. to reason, also LOGICIZE.
LOGICISESlogicises v. Third-person singular simple present indicative form of logicise.
LOGICISE v. to reason, also LOGICIZE.
LOGICISMSlogicisms n. Plural of logicism.
LOGICISM n. Frege's theory that underlying mathematics is a purely logical set of axioms.
LOGICISTSlogicists n. Plural of logicist.
LOGICIST n. a believer in logicism, Frege's theory that underlying mathematics is a purely logical set of axioms.
LOGICIZEDlogicized v. Simple past tense and past participle of logicize.
LOGICIZE v. to reason, also LOGICISE.
LOGICIZESlogicizes v. Third-person singular simple present indicative form of logicize.
LOGICIZE v. to reason, also LOGICISE.
LOGICLESSlogicless adj. Without logic; alogical or illogical.
LOGICLESS adj. without logic.

Scrabble words — in black are valid world wide — in RED are not valid in North America — in GREEN are valid only in North America.
Definitions are short excerpt from the WikWik.org and 1Word.ws.

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