This second part of the "On Reincarnation..." series continues the philosophical and logical investigation initiated in the first work: On Reincarnation. Part I: Madhyamaka–Prasangika🔗 https://zenodo.org/records/15492409 While the first installment was offered as a respectful homage to the classical Buddhist lineage—particularly the Madhyamaka–Prasangika tradition—and focused on demonstrating the continuity of consciousness via causal reasoning rooted in Buddhist ontology, the present work expands and strengthens the theoretical foundation. Part II introduces a fully axiomatic model of implicative reincarnation, independent of metaphysical postulates and rooted instead in formal logic. This model does not attempt to define a specific agent or "self" that reincarnates, but rather develops a system of implications between fundamental existential states—life (A), death (B), and other (C)—demonstrating their interdependence and cyclical recurrence. In keeping with the spirit of Madhyamaka–Prasangika, the approach rejects essentialist notions of the self and emphasizes structural coherence, while also offering a scientifically oriented articulation of existential continuity. The axioms are formulated in a way that invites both philosophical analysis and empirical reflection, potentially serving as a bridge between contemplative traditions and analytic reasoning. This work is part of an ongoing inquiry into how logic, mathematics, and phenomenology can illuminate the deeper patterns of conditioned existence and the unbroken stream of life. Namaste!