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Yes, illogic is in the scrabble dictionary

...and is worth 14 points by itself.

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illogic

noun

1. A lack of logic.

2. The quality or state of being .

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Top Words by points

Points

Word Game

illogic

10

Scrabble

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2 Letters

Scrabble® Points

oi

2

lo

2

gi

3

go

3

li

2

3 Letters

Scrabble® Points

ill

3

oil

3

log

4

cig

6

col

5

cog

6

4 Letters

Scrabble® Points

gill

5

coil

6

clog

7

loci

6

5 Letters

Scrabble® Points

logic

8

7 Letters

Scrabble® Points

illogic

10

Found 17 words in 0.23526 seconds