There are 19 words that start with 'logic'.
| logic | logics | 
| logical | logician | 
| logicise | logicize | 
| logically | logicians | 
| logicised | logicises | 
| logicized | logicizes | 
| logicless | logicality | 
| logicising | logicizing | 
| logicalness | logicalities | 
| logicalnesses | |
Note: These 19 words that start with 'logic' are found from the USA & Canada version of the tournament Scrabble word list.