Yes, LOGIC is a Scrabble word!

Letter values in Scrabble US: L 1, O 1, G 2, I 1, C 3.

Is it a valid word?

LOGIC is a valid word in the official Scrabble dictionary (US), the UK Scrabble Dictionary and Words with Friends (ENABLE).

the branch of philosophy that analyzes inference
reasoned and reasonable judgment
the principles that guide reasoning within a given field or situation
the system of operations performed by a computer that underlies the machine's representation of logical operations
a system of reasoning

LOGIC was the Wordle answer on April 27, 2023 (#677). Stuck on today’s? Use the Wordle helper.

Also: logical system, system of logic.