The concept of "Logic" governs the abstract aspects of existence across different worlds - like feelings, skills, values, and memories. But it also leaves vulnerable gateways charged with the Logic of other dimensions, allowing destructive "Foreigners" to pose a serious risk. To tackle this menace, the Another Logic Counter Agency (ALCA) enlists "Logicalists" from the human domain of Septpia who form symbiotic bonds with benevolent Foreigners, exchanging their Logic to thwart danger. Yoshichika Tsurugi was rendered powerless owing to an overwhelmed Logic, reducing him to an ordinary citizen. Fate takes a surprising turn for him when he meets Athena - a Tetra-Heaven Foreigner goddess who restores his Logic Card and inducts him as a Logicalist. With the aid of his ALCA colleagues, Yoshichika unites forces to eliminate immediate threats to their world.