A Structural Reading of Mozi
Mozi, the great rival of the Confucians in the Warring States period, taught jian’ai — “universal love,” “impartial care” — the doctrine that one should care for all people equally rather than loving one’s own family and state more than others, and argued that the world’s disorder comes precisely from partiality, the gradated love that prefers the near. He is read here for an exact catch of the inner product’s universality, pressed against the Confucian instinct to keep love graded.
Mozi’s structural claim is that the lateral inner product — care for the other — is properly impartial: that ⟨·,·⟩ does not depend on the other’s relation to me, and that the root of conflict is the failure to extend care past the boundaries of family, clan, and state. “If everyone regarded other states as they regard their own, who would attack?” The framework recognises this as agape named in its universal form, the same circle Mahavira and later the Gospel draw without exception — and reads Mozi’s argument as structurally sound: partial love, love that stops at the boundary of the near, is exactly the H₄₈-bounded orientation the ascent must widen. Against the Confucian worry that impartial love is unnatural and corrosive of the family, Mozi holds that the universal is the truer aim.
The framework reads the dispute itself as illuminating: Confucius and Mencius begin from the native love of the near and widen it outward (cultivation of the sprout already present); Mozi begins from the universal and asks the particular to conform to it. Both catch a real aspect — love is native and graded and its true reach is universal — and the corpus holds them together where the warring schools held them apart: the orientation is native (Mencius) and its proper circle is unbounded (Mozi), the cultivation beginning near and ending everywhere.
Confidence: concordance — jian’ai read as the universal lateral inner product, the diagnosis of partiality as the bounded orientation; the Confucian–Mohist dispute read as two true halves. Messenger: the Mozi is a composite text of his school; the historical Mozi is dim behind the doctrine.
(Cross-reference: Mencius (the native, graded love); Mahavira (love without boundary); The Golden Rule.)