Logicalists are people who have acquired special power by entering in trance with Goddesses. They work under special police named ALCA under government and protect people against foreigners coming from another world.
Hero or MobA high-school-age boy named Yoshichika Tsurugi, who was formerly an ALCA Logicalist until he lost his Logic, finds himself caught between protecting his family as a civilian from otherworldly incursions and rejoining ALCA when his Logic is found.
Genius or Fool
E2
Genius or FoolYoshichika is obliged to go through a two-day trial period to be reinstated to ALCA, during which he excels at his tests and manages to step on his team leader's toes. Yoshichika meets Olga, and is curious about the special treatment he receives.
Dream or Reality
E3
Dream or RealityAfter Tamaki is replaced as team leader by Yoshichika, she is devastated. Yoshichika learns from Veronica about how he and Tamaki are not that much different in their respect for life. Veronica must take combat matters into her own hands.
Freedom or Restraint
E4
Freedom or RestraintChloe becomes occupied with investigating the Paradox Level 9.8 readings that previously appeared, stepping on the toes of the designated research staff. Chloe disobeys orders to tackle a Foreigner on her own.
Yesterday or Tomorrow
E5
Yesterday or TomorrowYoshichika and Yukari discover that Mana was abandoned as a child, and that even now, she hopes to contact her parents again. When a Foreigner shows up that proves too difficult for Chloe and Tamaki to handle, Mana makes a stunning decision.
Battle or Surrender
E6
Battle or SurrenderYukari dreams of doing more as a Logicalist, but her lack of experience and inability to Trance with any of the others during training sessions holds her back. A crisis in the Foreigner holding facility threatens the entire branch.
Human or God
E7
Human or GodThe ALCA members get some rare time off, and Shiori invites them over to the Tsurugi home under the false pretense that it is Yoshichika's birthday. A misunderstanding drives a wedge between Yoshichika and Athena.
Guilt or Innocence
E8
Guilt or InnocenceWhen Veronica's Paradox Sick former trainer, Ash Paxton, is suddenly moved to Sapporo, she tenders her resignation to pursue him. Director Jarno, wary about events taking place at the ALCA lab in Sapporo, charges Yoshichika to protect Veronica.
Enemy or Friend
E9
Enemy or FriendAs the ALCA members improve their skills, Olga feels more and more like he is being left behind without a Foreigner to Covenant with. Lucifer pays a surprise visit to the ALCA Naien office with an unexpected proposal.
Heaven or Hell
E10
Heaven or HellAfter Olga goes missing with his Logigraph, Yukari and Quetzie fly out and find him with Lucifer. Lucifer reveals to Olga what his plans are concerning Septpia, humanity, and the displaced archdemons of Tetra-Heaven.
Despair or Destruction
E11
Despair or DestructionIt's all hands on deck for the Naien branch of ALCA when they are cut off from headquarters and all of their Foreigners are on the loose. With all other options exhausted, Yoshichika and Athena make a fateful decision in order to stop Olga.
Luck and Logic
E12
Luck and LogicYoshichika and Athena confront Olga and Lucifer for a final showdown atop ALCA Headquarters. The Logicalists and goddesses deal with the fallout left in the wake of the end of the conflict.
Cast of Season 1
Sumire UesakaAthena
Inori MinaseAsuha Mana
Fumiko OrikasaAltemis
Sora TokuiChloe Maxwell
AimiNanahoshi Yukari
Kensho OnoTsurugi Yoshichika
Kohsuke ToriumiLucifer
Izumi KittaNemesis
Yoshitsugu MatsuokaOlga Blakechild
Ryuu NakataniQuetzalcoatl
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