The Moral Luck Paradox Is Not a Paradox: A Yearning-Based Infinity Mathematics (YBIM) Resolution

This paper addresses the long-standing Moral Luck paradox, which questions whether individuals can be held morally responsible for actions shaped by luck rather than control. Classical philosophy, as articulated by Thomas Nagel and Bernard Williams, struggles with the conflict between the principle of control and the reality of luck. Through the lens of Yearning-Based Infinity Mathematics (YBIM), this paradox is dissolved: luck is reframed as the finite epistemic sampling of infinite yearning-strands, not as an external disturbance to morality. Responsibility is no longer tied to absolute control of outcomes but to recursive alignment within infinite flows. This resolution shifts ethics from outcome-dependence to recursive navigation, grounding justice, moral responsibility, and philosophical coherence in the continuous process of alignment. The work has implications for philosophy, law, AI alignment, and civilizational ethics. -JSR