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There are 18 eight-letter words containing LOGIC

ALOGICAL	• alogical adj. Not based upon logic or reasoned argument. • alogical adj. Opposed to logic. • ALOGICAL adj. outside the domain of logic.
ANALOGIC	• analogic adj. Of or pertaining to analogy. • ANALOGIC adj. of or belonging to analogy, also ANALOGICAL.
BIOLOGIC	• biologic adj. Biological; pertaining to biology or to a living organism. • biologic n. An extremely complex drug, vaccine or antitoxin that is made from a living organism, or from products… • BIOLOGIC adj. related to biology.
DIALOGIC	• dialogic adj. Of or relating to dialogue. • dialogic adj. (Of a literary work) written in dialogue. • dialogic adj. Of or relating to dialogism.
ECOLOGIC	• ecologic adj. Relating to ecology, the interrelationships of organisms and their environment. • ECOLOGIC adj. relating to ecology, also ECOLOGICAL, OECOLOGIC, OECOLOGICAL.
EPILOGIC	• epilogic adj. Of or relating to an epilogue. • EPILOGIC adj. relating to an epilogue.
GEOLOGIC	• geologic adj. Of, or relating to geology or a geologic time scale. • GEOLOGIC adj. relating to geology, also GEOLOGICAL.
ILLOGICS	• illogics n. Plural of illogic. • ILLOGIC n. the absence of logic.
LOGICIAN	• logician n. A person who studies or teaches logic. • LOGICIAN n. one who is skilled in logic.
LOGICISE	• logicise v. Alternative form of logicize. • LOGICISE v. to reason, also LOGICIZE.
LOGICISM	• logicism n. (Philosophy) The doctrine that mathematics is a branch of logic in that some or all mathematics is reducible to logic. • LOGICISM n. Frege's theory that underlying mathematics is a purely logical set of axioms.
LOGICIST	• logicist n. (Philosophy) An adherent of logicism. • LOGICIST n. a believer in logicism, Frege's theory that underlying mathematics is a purely logical set of axioms.
LOGICIZE	• logicize v. (Transitive) To make logical; to bring into the domain of logic. • logicize v. (Intransitive) To argue. • LOGICIZE v. to reason, also LOGICISE.
MYOLOGIC	• myologic adj. (Medicine) Of or pertaining to the study of muscles or muscle tissue. • myologic adj. Of or pertaining to the muscles. • MYOLOGIC adj. relating to myology, the study of muscles.
NEOLOGIC	• neologic adj. Alternative form of neological. • NEOLOGIC adj. of or pertaining to neology; employing new words, also NEOLOGICAL.
OTOLOGIC	• otologic adj. Synonym of otological. • OTOLOGIC adj. relating to otology, the science of the ear, also OTOLOGICAL.
UROLOGIC	• urologic adj. Of or pertaining to urology. • UROLOGIC adj. relating to urology, the study of urine, also UROLOGICAL.
ZOOLOGIC	• zoologic adj. Zoological. • ZOOLOGIC adj. relating to zoology, also ZOOLOGICAL.

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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English Wiktionary: 27 words
Scrabble in French: 2 words
Scrabble in Spanish: 7 words
Scrabble in Italian: 19 words
Scrabble in German: 1 word
Scrabble in Romanian: 26 words

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